Universal Set Research Articles

On basic arithmetic operations for interval-valued intuitionistic fuzzy sets using the Hamming distance with their application in decision making

Atanassov’s intuitionistic fuzzy sets play a vital role in handling vagueness and uncertainty successfully as they associate an additional non-membership degree to each element of the universal set. Interval-valued intuitionistic fuzzy (IVIF) sets are more generalized quantities in this direction as they use intervals (⊂[0,1]) to define the membership and non-membership grades of each element of the set. However, without defining basic arithmetic operations on the IVIF values/sets, the study is incomplete. This paper broadly examines the division and subtraction operations over any arbitrary IVIF values/sets using the concept of Hamming distance between them. A deterministic linear optimization model is proposed and solved in order to obtain the complete expressions for these operations. Next, various fundamental properties and relationships are examined and proved for the proposed arithmetic operations over IVIF values/sets. Furthermore, an example of a multi-criteria decision-making problem under uncertain conditions is studied and analyzed using the developed arithmetic operations on IVIF numbers.

How critical success factors combine to influence success? A configurational theory approach on multiple social projects

PurposeIn literature, it is recognized that there is no universal set of critical success factors (CSFs) applicable to all projects. The goal of this research is to validate a theoretical model which considers that CSFs’ influence on project success (PS) is configurational, that CSFs combine to influence PS.Design/methodology/approachThe authors proposed a theoretical framework which operationalizes CSFs considering contingency and institutional theories' terms, as external contingencies, organizational resources and project strategies, which influence PS. The framework is validated through a qualitative approach on 18 social projects implemented by nongovernmental organizations (NGOs). Based on the conducted semistructured interviews with NGO managers or project managers, 91 instances when CSFs combine to influence PS were identified.FindingsThe dominant path reveals the combination of CSFs in terms of strategies adopted to face contingencies (70 instances), another as resources which moderate managers' strategies (14 instances), and in seven instances positive contingencies and resources combine and influence the PS. The results reveal that CSFs combine in reactive and dynamic ways to influence PS.Originality/valueThe research contributes to the vast literature on projects' success by adopting a different perspective. Configurational theory explains project management and projects' complexity better than the traditional approaches, which have a rather correlational perspective.

Лингвистические особенности формирования экологической привлекательности товаров (на материале испанского и английского языков)

The article is devoted to the description of linguistic peculiarities of forming the ecological attractiveness of food products. The purpose of this study is to reveal the main strategies and tactics showing the versatility and cross-cultural specifics of Spanish and American cultures for the formation of ecological attractiveness of goods. The scientific novelty of this research lies in identifying a universal set of linguistic means – communicative strategies and tactics – used to create an environmentally attractive image of a product, as well as in describing the intercultural specifics of their manifestation, using the example of two non-cognate languages. As a result of the study, three marketing communication strategies that shape the environmental attractiveness of products have been identified: the strategy of informing, the self-presentation strategy, and the manipulation strategy. The tactics that implement these strategies and their linguistic and cultural specificity have also been described. The following tactics fulfill the influencing function: appeals to authoritative opinions, demonstrations of uniqueness, targeting core audience, and reliance on semiotic systems. The tactic of demonstrating the uniqueness of product composition is an important tool for influencing buyers, both in American and Spanish linguistic culture, as evidenced by the lexical and semantic means used to implement this tactic enriched with lexical and semantic groups of beneficial and harmful substances and their high frequency of usage.

A real-time visual compass from two planes for indoor unmanned aerial vehicles (UAVs)

Improving the accuracy of pose determination of UAVs in a Global Positioning System-denied (GPS-denied) indoor environment, visual Simultaneous Localization And Mapping (vSLAM) techniques have attracted more attention from scholars. RGB-D (Red Green Blue-Depth) camera is a widely used visual sensor as it can recognize unknown environments and behave accordingly, which is valuable for UAVs. However, high computational resources are often required in featureless and uncharacteristic indoor environments to achieve the robust performance of pose decisiveness. To solve this challenge, this paper presents a novel real-time visual compass to estimate the three Degree-of-Freedom (DoF) relative orientations of an RGB-D camera, where the surface-normals-based RANdom Sample Consensus Model (RANSAC) is integrated. In addition, the Manhattan World (MW) assumption is exploited to simplify perception tasks by giving a way of probabilistically modeling background clutter. The effectiveness of the proposed estimator is comprehensively evaluated based on depth datasets from different indoor man-made scenes. And a universal parameter setting of the model is determined. The experiments demonstrated the effectiveness of the visual compass with an average absolute rotation error under 2°. Additionally, the average time needed by the algorithm to process an image frame is under 20 ms, satisfying real-time requirements. The robust achievement by both accuracy and timing indicates that our outperformed state-of-the-art approaches can be more conducive to indoor UAV design.

Structure and functions of the fabulous media narrative of the Instagram social network (using motivating content as an example)

The research task set by the authors is based on an attempt to analyze the phenomenon of the media narrative in a structural and functional aspect. The selected material includes publications of a social network banned in the Russian Federation for promoting Instagram photos. For the study, the authors selected three thematically representative accounts (the total number of subscribers is 600 thousand) and five materials containing information about the success stories of various celebrities. The subject side of the analysis includes narrative functions (motives) that can be found in these publications. The relevance of this work lies in the manipulative power of the above-mentioned materials and their ability to bring a person into an active motivated state. It is noted that such materials can carry a psychological and terrapeutic function for the viewer. The methodological basis is the narrative theory of V.Y. Propp, which assumes the decomposition of the material into invariant composite blocks necessary for the construction of a media story. The scientific novelty of the research lies in the need for the presence of such content in the media space. Since the authors of the study provide a universal set of mandatory narrative matrices, bloggers, firstly, get the opportunity to save time when creating publications, and secondly, they get the opportunity to bring the audience into an active motivated state through the success story of a famous personality. Among the most important conclusions, the authors note the exceptional popularity of the narrative motives of departure, struggle, transfiguration, victory and accession (wedding). They contain the main elements of the narrative. Similarly, the authors note that differences in the creation of materials (videos, texts, illustrative material) do not affect the interest of viewers and do not exclude the above-mentioned fairy-tale motives. Consequently, due to the fact that such materials are highly popular, the authors claim that they have an important social function.

Some Properties of Operations in the Collection of Intuitionistic Fuzzy Sets : A Novel Approach

In this paper, we introduce collection of intuitionistic fuzzy sets as a new concept of intuitionistic fuzzy sets. In ordinary, universal set in intuitionistic fuzzy sets is classical set. So in this paper, we generalize the universal set as a collection or family of intuitionistic fuzzy sets. We also present intersection and union operation on collection of of intuitionistic fuzzy sets and show that the operations hold commutative, assosiative, idempotent, and De Morgan’s laws properties.

Quantum Control Landscapes for Generation of H and T Gates in an Open Qubit with Both Coherent and Environmental Drive

An important problem in quantum computation is the generation of single-qubit quantum gates such as Hadamard (H) and π/8 (T) gates, which are components of a universal set of gates. Qubits in experimental realizations of quantum computing devices are interacting with their environment. While the environment is often considered as an obstacle leading to a decrease in the gate fidelity, in some cases, it can be used as a resource. Here, we consider the problem of the optimal generation of H and T gates using coherent control and the environment as a resource acting on the qubit via incoherent control. For this problem, we studied the quantum control landscape, which represents the behavior of the infidelity as a functional of the controls. We considered three landscapes, with infidelities defined by steering between two, three (via Goerz–Reich–Koch approach), and four matrices in the qubit Hilbert space. We observed that, for the H gate, which is a Clifford gate, for all three infidelities, the distributions of minimal values obtained with a gradient search have a simple form with just one peak. However, for the T gate, which is a non-Clifford gate, the situation is surprisingly different—this distribution for the infidelity defined by two matrices also has one peak, whereas distributions for the infidelities defined by three and four matrices have two peaks, which might indicate the possible existence of two isolated minima in the control landscape. It is important that, among these three infidelities, only those defined with three and four matrices guarantee the closeness of the generated gate to a target and can be used as a good measure of closeness. We studied sets of optimized solutions for the most general and previously unexplored case of coherent and incoherent controls acting together and discovered that they form sub-manifolds in the control space, and unexpectedly, in some cases, two isolated sub-manifolds.

An Improved Intuitionistic Fuzzy Decision-Theoretic Rough Set Model and Its Application

The Decision-Theoretic Rough Set model stands as a compelling advancement in the realm of rough sets, offering a broader scope of applicability. This approach, deeply rooted in Bayesian theory, contributes significantly to delineating regions of minimal risk. Within the Decision-Theoretic Rough Set paradigm, the universal set undergoes a tripartite division, where distinct regions emerge and losses are intelligently distributed through the utilization of membership functions. This research endeavors to present an enhanced and more encompassing iteration of the Decision-Theoretic Rough Set framework. Our work culminates in the creation of the Generalized Intuitionistic Decision-Theoretic Rough Set (GI-DTRS), a fusion that melds the principles of Decision-Theoretic Rough Sets and intuitionistic fuzzy sets. Notably, this synthesis bridges the gaps that exist within the conventional approach. The innovation lies in the incorporation of an error function tailored to the hesitancy grade inherent in intuitionistic fuzzy sets. This integration harmonizes seamlessly with the contours of the membership function. Furthermore, our methodology deviates from established norms by constructing similarity classes based on similarity measures, as opposed to relying on equivalence classes. This shift holds particular relevance in the context of aggregating information systems, effectively circumventing the challenges associated with the process. To demonstrate the practical efficacy of our proposed approach, we delve into a concrete experiment within the information technology domain. Through this empirical exploration, the real-world utility of our approach becomes vividly apparent. Additionally, a comprehensive comparative analysis is undertaken, juxtaposing our approach against existing techniques for aggregation and decision modeling. The culmination of our efforts is a well-rounded article, punctuated by the insights, recommendations, and future directions delineated by the authors.

Attributable Costs of Stroke in Ontario, Canada and Their Variation by Stroke Type and Social Determinants of Health.

Estimates of attributable costs of stroke are scarce, as most prior studies do not account for the baseline health care costs in people at risk of stroke. We estimated the attributable costs of stroke in a universal health care setting and their variation across stroke types and several social determinants of health. We undertook a population-based administrative database-derived matched retrospective cohort study in Ontario, Canada. Community-dwelling adults aged ≥40 years with a stroke between 2003 and 2018 were matched (1:1) on demographics and comorbidities with controls without stroke. Using a difference-in-differences approach, we estimated the mean 1-year direct health care costs attributable to stroke from a public health care payer perspective, accounting for censoring with a weighted available sample estimator. We described health sector-specific costs and reported variation across stroke type and social determinants of health. The mean 1-year attributable costs of stroke were Canadian dollars 33 522 (95% CI, $33 231-$33 813), with higher costs for intracerebral hemorrhage ($40 244; $39 193-$41 294) than ischemic stroke ($32 547; $32 252-$32 843). Most of these costs were incurred in acute care hospitals ($15 693) and rehabilitation facilities ($7215). Compared with all patients with stroke, the mean attributable costs were higher among immigrants ($40 554; $39 316-$41 793), those aged <65 years ($35 175; $34 533-$35 818), and those residing in low-income neighborhoods ($34 687; $34 054-$35 320) and lower among rural residents ($29 047; $28 362-$29 731). Our findings of high attributable costs of stroke, especially in immigrants, younger patients, and residents of low-income neighborhoods, can be used to evaluate potential health care cost savings associated with different primary stroke prevention strategies.

First Report of Pectobacterium versatile Causing Diseases on Potato in Xinjiang Uygur Autonomous Region and Heilongjiang Province, China.

Pectobacterium spp. and Dickeya spp. cause aerial stem rot on potatoes worldwide (Charkowski, 2018). Potato plants (cv. Xisen6# or Youjin) with aerial stem rot or blackleg symptoms (Fig. S1) were observed in the commercial fields in Changji, Xinjiang Province in September 2021 and Harbin, Heilongjiang Province in August 2021, in China. The field disease incidences were 45-50% and 15-20% in Changji (2 ha) and Harbin (1 ha), respectively. Five diseased plants from each field site were collected to isolate the pathogen. Symptomatic stems were soaked in 75% ethanol for 2 min, rinsed, and ground in sterile distilled water (Handique et al. 2022). The suspension was plated onto a crystal violet pectate agar (CVP) plate (Ge et al. 2018). Three days after incubation at 28°C, bacterial colonies that developed pits on CVP plates were purified and sequenced for identification using the universal 16S rRNA gene primer set 27F/1492R (Monciardini et al. 2002). Amplified 16S rDNA sequences from two isolates designated as ZRIMU1267 and ZRIMU1366 showed more than 99% sequence identity to P. versatile CFBP6051T type strain and the sequences were submitted to GenBank (accession numbers: OP476349, OP476350). Additionally, six housekeeping genes sequences were uploaded to GenBank: proA (OP487826, OP487832), gyrA (OP487828, OP487834), icdA (OP487823, OP487829), mdh (OP487825, OP487831), gapA (OP487824, OP487830), and rpoS (OP487827, OP487833) (Ma et al. 2007; Waleron et al. 2008). A phylogenetic tree based on concatenated sequences (MLSA) of the housekeeping genes (Fig. S2) of the two isolates was constructed using MEGA X (Tamura et al. 2013).The phylogenetic tree of MLSA sequences shows that the sequences from isolates ZRIMU1267 and ZRIMU1366 clustered with P. versatile CFBP6051T indicating that these isolates are P. versatile at the species level. Koch's postulate were performed on 3-week-old potato seedlings (cv. Favorita) and tubers. The bacterial suspension (100 μl, 105 CFU/ml) or sterile phosphate-buffered solution was injected into the crown area of the seedlings for the development of aerial stem rot or drenched in the potting mix for the development of blackleg, and the plants were covered with polybags to keep 100% humidity at 25° for 2 days. Five seedlings were inoculated for each strain and the experiment was repeated twice. Seven days after stem injection, the infected area of the inoculated seedlings was rotten, turned black, or even lodged, while the controls were symptomless (Fig. S3a). Four days after drench application, the seedlings were wilted and lodged, while the controls were symptomless (Fig. S3 c). Tuber slice assay for soft rot development was performed by adding bacterial suspension (100 μl, 105 CFU/ml). One day after inoculation, the infected tubers rotted, while the controls were symptomless (Fig. S3 b). ZRIMU1267 and ZRIMU1366 were reisolated from infected tissues on CVP plates and identified by 16S rRNA sequences to complete Koch's postulate. Diseases on potato has been reported to be caused by P. atrosepticum, P. carotovorum, P. brasiliense, P. parmentieri, P. polaris, and P. punjabense in China (Zhao et al. 2018; Cao et al. 2021; Wang et al. 2021; Handique et al. 2022). P. versatile causing aerial stem rot on potatoes have been reported in Hebei province (Han et al. 2022), while our study reports P. versatile strains that are able to cause multiple diseases on potatoes in Xinjiang Uygur Autonomous Region and Heilongjiang provinces of China. The results indicate that P. versatile might be widely distributed in northern China, and it is necessary to include cropping season and post-harvest strategies to control diseases caused by P. versatile.

THE CONSTRUCTION OF SOFT SETS FROM FUZZY SUBSETS

Molodtsov introduced the concept of soft sets formed from fuzzy subsets in 1999. The soft set formed from a fuzzy subset is a particular form of a soft set on its parameter set. On a soft set formed from a fuzzy subset, the parameter used is the image of a fuzzy subset which is then mapped to the collection of all subsets of a universal set. This research explains the construction of soft sets formed from fuzzy subsets. We provide the sufficient condition that a soft set formed from a fuzzy subset is a subset of another soft set. Also, give some properties of the soft sets formed from a fuzzy subset related to complement and operations concepts in soft sets

Association of Provider Zip Code Sociodemographic Characteristics with Radiation Therapy Modality Use in the Medicare Population

Variations in healthcare delivery by provider and patient-level characteristics have been well studied in the US health system as a whole, though these patterns are not as well defined in radiation oncology. We evaluated the association of provider zip-code level sociodemographic characteristics with variations in radiation therapy (RT) modality use. We used the Centers for Medicare & Medicaid Services (CMS) Physician and Other Supplier Public Use File, CMS Physician Compare, and National Neighborhood Data Archive databases to link non-facility based radiation oncologists and their submitted Medicare charges in 2020 with sociodemographic information of the provider's zip code. We selected radiation oncologists who submitted for any of the following RT treatments: proton RT (PRT), stereotactic body RT (SBRT), intensity modulated RT (IMRT), 3D conformal RT (3DCRT), and brachytherapy (BT). Sociodemographic covariates included predominant race/ethnicity of area (Black, White, or Hispanic), percentage of population earning above $75,000 annually, provider rurality (metropolitan vs non-metropolitan), and predominant education level attained of area (Bachelor's degree vs no Bachelor's degree). We measured the association of these covariates with the use of different RT modalities with multivariable logistic regression. We identified 1,126 radiation oncologists for analysis. PRT was more likely to be used by providers in areas with a predominantly Black population compared with providers in areas with a predominantly White or Hispanic population (Black as reference, White odds ratio (OR) 0.11; 95% CI 0.05-0.24; Hispanic OR 0.23; 95% CI 0.08-0.56). IMRT was more likely to be used by providers in areas with a predominantly White or Hispanic population compared with providers in areas with a predominantly Black population (White OR 3.40; 95% CI 1.63-6.78; Hispanic OR 2.46; 95% CI 1.04-5.97). SBRT was less likely to be used in non-metro areas compared with metro areas (OR 0.28, 95% CI 0.12-0.56). The annual income measure was not associated with any RT modality. Providers in areas with predominantly Bachelor's degree attained were more likely to use PRT (Bachelor's degree as reference, OR 0.34; 95% CI 0.17-0.64) and less likely to use SBRT (OR 1.53; 95% CI 1.04-2.26), IMRT (OR 2.04; 95% CI 1.20-3.48), and 3DCRT (OR 1.52; 95% CI 1.04-2.22). No covariates were associated with BT use. We identified notable variations in RT delivery with multiple sociodemographic factors. A predominantly Black population was associated with a higher likelihood of PRT use, and BT use was not associated with any sociodemographic covariate. These findings might reflect reduced barriers to care afforded by the universal healthcare setting of Medicare or ongoing improvements in RT delivery with respect to previously identified health disparities. Additional work is needed to further elucidate these patterns of RT use and determine if they represent effective care.

Lattices arising from fuzzy coverings

A fuzzy covering is a natural generalization of coverings. This paper shows that the families of all definable fuzzy sets induced by a fuzzy covering-based rough set have lattice structures. There may be some superfluous elements in the universal set and the fuzzy covering for the families of all definable sets. We define class reduction, element reduction, and bireduction to remove these elements respectively. For the family of all lower definable fuzzy sets, it is shown that the class reduction coincides with covering reduction, and the element reduction can be transformed into a reduction in information systems. Bireduction considers class reduction and element reduction, and it can be achieved by class and element reductions. Moreover, our results also hold for coverings because a covering is a special fuzzy covering.

Statistical-based optimization of fused filament fabrication parameters for short-carbon-fiber-reinforced poly-ether-ether-ketone considering multiple loading conditions

Fused filament fabrication (FFF) is one of the most widely used additive manufacturing processes and allows the production of complex parts. FFF can manufacture lightweight and strong structural components when processing high-performance carbon-fiber-reinforced thermoplastics. Although the process feasibility for printing 20% short-carbon-fiber reinforced PEEK was already demonstrated in the literature, a systematic study addressing the influence of printing parameters on different loading conditions is still lacking. Therefore, the present study investigates the influence of selected FFF parameters – i.e., layer height (LH), printing temperature (PT) and printing speed (PS) – on three mechanical properties: tensile (UTS), bending (UBS), and impact (UIS) ultimate strengths. The analyzed samples were printed and tested according to a central composite design of experiments, and each parameter's individual and combined effects were assessed by analysis of variance (ANOVA). Different regression models were obtained for each test, allowing the optimization of the parameters for each condition and resulting in three distinct optimized parameter sets. The relationship between parameters and microstructure was also assessed via fractography analyses, showing that lower LH and PS reduce the number and size of volumetric defects observed within the printed parts, as lower values improve interlayer cohesion. Contrarily, PT showed that average values (around 385 °C) benefit the microstructure the most, as higher temperatures result in larger defects and low temperatures reduce interlayer cohesion. Finally, the contour plots of the three produced models were overlaid to identify a universal parameter set capable of simultaneously correlating and maximizing all three performances. This procedure allowed the identification of the following optimized values: LH of 0.1 mm, PT of 385 °C and PS of 17.5 mm/s, resulting in the experimental UTS, UBS and UIS values of 116.7 ± 5 MPa, 167.2 ± 11 MPa and 28.2 ± 3 kJ/m2.

Analysis of factors and construction of prognostic quality models of flexographic printing process of packaging with solvent based inks

The presented article shows the results of the analysis of the factors influence on the flexographic printing process with solvent based inks. The main factors influencing the printing process quality are identified, a semantic network of influence and dependencies of these factors is constructed. The priority of factors, taking into account their influences and dependencies, is established by the ranking method. Using the Pareto rule and the construction of the corresponding diagram, four main factors are identified, the influence of which provides 70 % of the studied process quality. It is established that the most priority factors are the parameters of the printing plate, the rheological parameters of the ink, the lineature of the anilox roller and the surface properties of the material to be printed, with the following calculated values: 150, 120, 105 and 90 units, respectively. The selected factors are used to analyse their impact on the flexographic printing process by means of fuzzy logic. Accordingly, a universal set, corresponding terms and a fuzzy knowledge base with the condition "If-Then" are established for these factors in the form of linguistic variables. The formed knowledge base is tested with the help of the Fuzzy Logic Toolbox package of the Matlab technological computing environment and the corresponding prognostic models of the influence of the selected factors on the printing process quality are constructed.

Formation of universal sets of end gauges

Simplification of the choice of sets of end plane-parallel gauges of length necessary for the enterprise using automated calculation of characteristics and evaluation of economic effectiveness based on numerical experiments and comparative analysis of sets from different manufacturers is considered. A set of sets of end measures was obtained for different combinations of the smallest and largest measures, gradations of dimensions in groups of sets and the number of measures in sets. Keywords: end plane-parallel gauges, sets, automated calculation, effectiveness fot@mail.osu.ru

Learning sets theory using gaple cards: a study of east java ethnomathematics

Students' interest in learning mathematics in Indonesia still needs to be improved. Efforts can be made by providing creative learning in the classroom, one of which is by linking mathematics and culture, known as ethnomathematics. Ethnomathematics can be used as a learning innovation to motivate students to learn mathematics. Therefore, this study aims to explore the concept of mathematics in one of the traditional game cultures still developing in Malang, East Java, namely Gaple. Gaple cards can be used as a media for learning mathematics in set material linked through the Realistic Mathematics Education (RME) approach. This study used a descriptive qualitative method with an ethnographic approach, which describes the results of the ethnomathematics exploration of the Gaple card game. Data collection uses observation, interviews, literature review, and photo documentation to explore ethnomathematics elements on gaple game cards. Exploration results were obtained by observing the number of points on each gaple card, namely the concept of universal sets, intersections, unions, and complements. These results are then packaged in a table of learning activities by implementing the three stages of the RME approach.

Learning sets theory using gaple cards: a study of east java ethnomathematics

Students' interest in learning mathematics in Indonesia still needs to be improved. Efforts can be made by providing creative learning in the classroom, one of which is by linking mathematics and culture, known as ethnomathematics. Ethnomathematics can be used as a learning innovation to motivate students to learn mathematics. Therefore, this study aims to explore the concept of mathematics in one of the traditional game cultures still developing in Malang, East Java, namely Gaple. Gaple cards can be used as a media for learning mathematics in set material linked through the Realistic Mathematics Education (RME) approach. This study used a descriptive qualitative method with an ethnographic approach, which describes the results of the ethnomathematics exploration of the Gaple card game. Data collection uses observation, interviews, literature review, and photo documentation to explore ethnomathematics elements on gaple game cards. Exploration results were obtained by observing the number of points on each gaple card, namely the concept of universal sets, intersections, unions, and complements. These results are then packaged in a table of learning activities by implementing the three stages of the RME approach.

Left and Right Operator Rings of a Γ Ring in Terms of Rough Fuzzy Ideals

The relationship between Rough Set (RS) and algebraic systems has been long studied by mathematicians. RS is a growing research area that encourages studies into both real-world applications and the theory itself. In RS, a universe subset is characterized by a pair of ordinary sets called lower and upper approximations. In this study, we look attentively at the use of rough sets when the universe set has a ring structure. The main contribution of the paper is to concentrate on the study of rough fuzzy ideals concerning the gamma ring and to describe some properties of its lower and upper approximations. This paper deals with the connection between Rough Fuzzy Sets (RFS) and ring theory. The goal of this paper is to present the notion of Left Operator Rings (LOR) and Right Operator Rings (ROR) in the gamma ring structure. We introduce some basic concepts of rough fuzzy left and right operator rings. Furthermore, we investigate some characterizations of left and right operator rings and prove some theorems based on these results.

Near-Optimal Active Learning for Multilingual Grapheme-to-Phoneme Conversion

The construction of pronunciation dictionaries relies on high-quality and extensive training data in data-driven way. However, the manual annotation of corpus for this purpose is both costly and time consuming, especially for low-resource languages that lack sufficient data and resources. A multilingual pronunciation dictionary includes some common phonemes or phonetic units, which means that these phonemes or units have similarities in the pronunciation of different languages and can be used in the construction process of pronunciation dictionaries for low-resource languages. By using a multilingual pronunciation dictionary, knowledge can be shared among different languages, thus improving the quality and accuracy of pronunciation dictionaries for low-resource languages. In this paper, we propose using shared articulatory features among multiple languages to construct a universal phoneme set, which is then used to label words for multiple languages. To achieve this, we first developed a grapheme−phoneme (G2P) model based on an encoder−decoder deep neural network. We then adopted a near-optimal active learning method in the process of building the pronunciation dictionary to select informative samples from a large, unlabeled corpus and had them labeled by experts. Our experiments demonstrate that this method selected about 1/5 of the unlabeled data and achieved an even higher conversion accuracy than the results of the large data training method. By selectively labeling samples with a high uncertainty in the model, while avoiding labeling samples that were accurately predicted by the current model, our method greatly enhances the efficiency of pronunciation dictionary construction.