Single-valued Neutrosophic Environment Research Articles

Threat assessment based on single-valued neutrosophic TOPSIS and three-way decision

This paper provides a novel target threat assessment model that utilizes TOPSIS and three-way decision-making under a single-valued neutrosophic environment. The presented model provides theoretical support for combat decision-making in complex battlefield environments with uncertain information. The model employs single-valued neutrosophic sets to handle uncertain data, which enhances the descriptive ability of information. The maximum deviation method is used to calculate attribute weight factors, which highlights the importance of each attribute. The final target threat ranking is obtained based on the relative closeness coefficient of each target. Furthermore, the proposed model constructs a multi-attribute aggregation loss function matrix for each target, sets the risk avoidance coefficient under the knowledge of the battlefield condition, and calculates the decision threshold of each target using three-way decision theory. This method produces the classification of the target choice. The numerical examples and comparison analysis demonstrate that the suggested model can handle ambiguous scenario information effectively and reasonably, transform traditional decision-making ranking results into three-way classification findings, and provide a rationale for choosing an attacking target.

Single-valued neutrosophic dynamic aggregation information with time sequence preference for IoT technology in supply chain management

The Internet of thing (IoT) is a global platform for connecting intelligent objects over the Internet. It facilitates the integration of the “supply chain (SC)” and “information and communication technology (ICT)” infrastructures inside a company and with its vendors and clients. The “supply chain management (SCM)” is presently required if a firm wishes to keep up with the rapid evolution of its consumers’ needs. Several research has demonstrated that manufacturing companies must expedite the transition of their attention to sustainable development and the application of innovative technologies, such as IoT, in order to achieve their organizational objectives most efficiently. This study intends to examine the IoT’s applicability in SCM and assess the most popular IoT systems. The difficulty of identifying the best suitable IoT system is dependent on a multitude of variables, which are sometimes stated as incomplete and unreliable estimations. In order to reach an outcome, this paper proposes a multi-criteria paradigm for IoT solution selection in a single-valued neutrosophic environment. Single-valued neutrosophic set (SiVNS) is a strong model to address uncertain information in terms of three membership functions, namely indeterminacy, truthfulness, and falsity. The goal of this study is to introduce some dynamic single-valued neutrosophic aggregation operators (AOs) for multi-period decision-making problems that involve uncertain single-valued neutrosophic information. We develop novel Einstein AOs named as “dynamic single-valued neutrosophic Einstein weighted averaging (DSiVNEWA) operator and dynamic single-valued neutrosophic Einstein weighted geometric (DSiVNEWG) operator”. Several characteristics of the suggested AOs are investigated. Additionally, we develop a multi-stage dynamic decision analysis utilizing ideal solutions. To illustrate the proposed technique, a numerical example is presented. Comparison and authenticity analyses are conducted to ascertain the efficacy and superiority of the suggested multi-stage dynamic decision analysis in the practical situation.

Efficient Decision Making for Sustainable Energy Using Single-Valued Neutrosophic Prioritized Interactive Aggregation Operators

To reduce greenhouse gas emissions, conserve the environment, and reduce dependency on fossil fuels, the transition from fossil energy to renewable energy is deemed essential. Several companies around the globe, especially big conglomerates, were pioneers in the use of renewable energy. For sustainable growth, Pakistani businesses are growing increasingly interested in the use of green sources in manufacturing and economic activities. In recent years, there has been a growth in the number of companies that are eager to use renewable energies to produce products that correspond to green standards, therefore boosting their competitiveness. Yet, the selection of an appropriate energy source for any industrially complex project is not a simple task, as numerous qualitative and quantitative characteristics must be considered. To arrive at a feasible conclusion, this research provides a multi-criteria paradigm for sustainable energy selection in a single-valued neutrosophic environment. This work developed an innovative aggregation operators approach that interprets the input evaluation using single-valued neutrosophic numbers. For this, a “single-valued neutrosophic prioritized interactive weighted averaging operator and single-valued neutrosophic prioritized interactive weighted geometric operator” has been introduced. Several additional appealing features of these aggregation operators are also discussed. The application of the recommended operators for sustainable energy related to the industrial complex is discussed. A comparison analysis proves the empirical existence of the suggested methodology’s consistency and superiority.

Some Results on Submodules Using (μ,ν,ω)-Single-Valued Neutrosophic Environment

The use of a single-valued neutrosophic set (svns) makes it much easier to manage situations in which one must deal with incorrect, unexpected, susceptible, faulty, vulnerable, and complicated information. This is a result of the fact that the specific forms of material being discussed here are more likely to include errors. This new theory has directly contributed to the expansion of both the concept of fuzzy sets and intuitionistic fuzzy sets, both of which have experienced additional development as a direct consequence of the creation of this new theory. In svns, indeterminacy is correctly assessed in a way that is both subtle and unambiguous. Furthermore, membership in the truth, indeterminacy, and falsity are all completely independent of one another. In the context of algebraic analysis, certain binary operations may be regarded as interacting with algebraic modules. These modules have pervasive and complicated designs. Modules may be put to use in a wide variety of different applications. Modules have applications in a diverse range of industries and market subsets due to their adaptability and versatility. Under the umbrella of the triplet (μ,ν,ω) structure, we investigate the concept of svns and establish a relationship between it and the single-valued neutrosophic module and the single-valued neutrosophic submodule, respectively. The purpose of this study is to gain an understanding of the algebraic structures of single-valued neutrosophic submodules under the triplet structure of a classical module and to improve the validity of this method by analyzing a variety of important facets. In this article, numerous symmetrical features of modules are also investigated, which demonstrates the usefulness and practicality of these qualities. The results of this research will allow for the successful completion of both of these objectives. The tactics that we have devised for use in this article are more applicable to a wide variety of situations than those that have been used in the past. Fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets are some of the tactics that fall under this category.

Hausdorff Distance and Similarity Measures for Single-Valued Neutrosophic Sets with Application in Multi-Criteria Decision Making

Hausdorff distance is one of the important distance measures to study the degree of dissimilarity between two sets that had been used in various fields under fuzzy environments. Among those, the framework of single-valued neutrosophic sets (SVNSs) is the one that has more potential to explain uncertain, inconsistent and indeterminate information in a comprehensive way. And so, Hausdorff distance for SVNSs is important. Thus, we propose two novel schemes to calculate the Hausdorff distance and its corresponding similarity measures (SMs) for SVNSs. In doing so, we firstly develop the two forms of Hausdorff distance between SVNSs based on the definition of Hausdorff metric between two sets. We then use these new distance measures to construct several SMs for SVNSs. Some mathematical theorems regarding the proposed Hausdorff distances for SVNSs are also proven to strengthen its theoretical properties. In order to show the exact calculation behavior and distance measurement mechanism of our proposed methods in accordance with the decorum of Hausdorff metric, we utilize an intuitive numerical example that demonstrate the novelty and practicality of our proposed measures. Furthermore, we develop a multi-criteria decision making (MCDM) method under single-valued neutrosophic environment using the proposed SMs based on our defined Hausdorff distance measures, called as a single-valued neutrosophic MCDM (SVN-MCDM) method. In this connection, we employ our proposed SMs to compute the degree of similarity of each option with the ideal choice to identify the best alternative as well as to perform an overall ranking of the alternatives under study. We then apply our proposed SVN-MCDM scheme to solve two real world problems of MCDM under single-valued neutrosophic environment to show its effectiveness and application.

Multicriteria Decision-Making Problem via Weighted Cosine Similarity Measure and Several Characterizations of Hypergroup and (Weak) Polygroups under the Triplet Single-Valued Neutrosophic Structure

Polygroups are an extended form of groups and a subclass of hypergroups that follow group-type axioms. In this paper, we define a triplet single-valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups. Firstly, the main goal of this paper is to introduce hypergroups, polygroups, and anti-polygroups under a triplet single-valued neutrosophic structure and then present various profound results. We also examine the interaction and properties of level sets of triplet single-valued neutrosophic polygroups and (normal) subpolygroups. Secondly, we rank the alternatives and select the best ones in a single-valued neutrosophic environment using the weighted cosine similarity measure between each alternative and the ideal alternative. Finally, we provide an example that clearly shows how the proposed decision-making method is applied.

An integrated decision support framework using single-valued neutrosophic-MASWIP-COPRAS for sustainability assessment of bioenergy production technologies

As a clean and renewable energy, bioenergy is one of the most prospective alternatives to fossil fuels. Therefore, it has been received much attention and occupied a considerable status in the world’s energy consumption. Moreover, the sustainable bioenergy production can effectively decrease the risk of energy poverty and contribute to the economic and ecological benefits, particularly in developing countries. However, the selection of bioenergy production technologies (BPTs) has significant challenges and uncertainties due to various factors. Thus, the aim of this study is to evaluate the BPTs and choose the most suitable and sustainable alternative among them. For this purpose, an integrated decision-making framework is proposed under single-valued neutrosophic environment. In the present approach, the method based on the removal effects of criteria (MEREC) and stepwise weight assessment ratio analysis (SWARA) weighting integrated procedure (MASWIP) is introduced to compute the relative significances of the considered sustainability indicators. Then, the MASWIP-based complex proportional assessment (COPRAS) is introduced to prioritize the BPTs from single-valued neutrosophic perspective. Further, the present framework is implemented on a case study of BPTs evaluation problem with uncertain, inconsistent and indeterminate information, which approves the effectiveness and practicality of introduced method. To assess its robustness and stability, sensitivity and comparative studies are performed. The advantages of the developed method are emphasized in terms of stability and reliability by comparisons with five existing approaches, and the effectiveness of the present approach is verified. The findings of the study prove that the application of single-valued neutrosophic MASWIP-based COPRAS method in BPT selection is robust.

Single-valued neutrosophic Schweizer-Sklar Hamy mean aggregation operators and their application in multi-attribute decision making

Single-valued neutrosophic sets can efficiently depict a great deal of imprecise, uncertain and discordant information. Hamy mean operator can consider the interrelationships among multiple integrated arguments and Schweizer-Sklar operations express great flexibility in the process of information aggregation. To give full consideration to these advantages, we merge the Hamy mean operator with the Schweizer-Sklar operations in single-valued neutrosophic environment, proposing a single-valued neutrosophic Schweizer-Sklar Hamy mean operator and a single-valued neutrosophic Schweizer-Sklar weighted Hamy mean operator. Besides, we illustrate some specific cases and attributes of the two operators. Moreover, based on the entropy weight method and the single-valued neutrosophic Schweizer-Sklar weighted Hamy mean operator, this paper presents a single-valued neutrosophic Schweizer-Sklar entropic weighted Hamy mean method to tackle multi-attribute decision making problems. At last, the method and other three existing methods are applied to solve a practical multi-attribute decision making problem, which validates the credibility and validity of the single-valued neutrosophic Schweizer-Sklar entropic weighted Hamy mean method by comparing the differences among them.

Prioritising teaching modalities by extending TOPSIS to single-valued neutrosophic environment

An effective teaching modality not only improves the efficiency of the teaching process but also promotes active learning. Teaching modalities are continuously evolving due to advancement in technology. There is a range of contradictory reports available in the extant literature regarding the effectiveness of different teaching modalities. This work assesses and prioritises four teaching modalities namely face-to-face teaching, pure online teaching, blended teaching and flipped classroom teaching. Assessment is made based on 8 criteria identified from the literature in consultation with the experts. Analysis revealed that the flipped classroom and blended teaching approaches are the most effective teaching modalities. Examination of the literature indicates that to date no study evaluated all the four aforementioned teaching modalities in a single study. The study is the first attempt to assesses 4 teaching modalities based on 8 eight common criteria by extending TOPSIS to a single-valued neutrosophic environment. Current work provides valuable insights to various stakeholders including academicians, policymakers and practitioners, who are interested in giving a rich learning experience to learners.

Single‐valued neutrosophic similarity measure‐based additive ratio assessment framework for optimal site selection of electric vehicle charging station

Sustainable site selection for electric vehicle charging station (EVCS) is a significant process in the promotion of electric vehicle system development. The assessment and selection of suitable EVCS site is a very critical decision, involving complexity due to the presence of several associated criteria. Furthermore, uncertainty is an inevitable component of the information in the decision-making procedure and its significance in the selection process is relatively high and needs to be cautiously measured. Single-valued neutrosophic set (SVNS) is one of the valuable and flexible tools for handling such type of uncertain information arising in multi-criteria decision-making (MCDM) applications. Thus, the objective of this study is to introduce novel single-valued neutrosophic information-based additive ratio assessment (ARAS) approach for evaluating and prioritizing the sustainable EVCS sites. In this method, novel single-valued subjective and objective weighted integrated approach (SVN-SOWIA) is developed to compute the criteria by aggregating the objective weights resulted from a similarity measure-based procedure and the subjective weights given by the experts. For this purpose, an innovative similarity measure is proposed for SVNSs. To display the performance of the present methodology, a computational study of EVCS sites evaluation is conferred under single-valued neutrosophic environment. Comparative and sensitivity analyses are further performed to verify the strength of the developed approach. The outcome illustrates EVCS site EvUrjaa—Electric Vehicle Charging Station is the most optimal EVCS site in Indore region, India. Also, the environmental (0.324) and social (0.273) criteria are more important than technological (0.236) and economical (0.167) criteria in assessing the EVCS sites. The sensitivity analysis outcomes signify the EVCS option EvUrjaa—Electric Vehicle Charging Station always acquires its highest ranking in spite of how sub-criteria weights fluctuate. The outcome of this study indicates that the developed approach can suggest more realistic performance under uncertain environment and therefore, provides a wide range of applications.

A Flexible Decision-Making Method for Green Supplier Selection Integrating TOPSIS and GRA Under the Single-Valued Neutrosophic Environment

The deteriorating environment and growing environmental awareness have created an urgency for selecting green suppliers. Although scholars have put forward many methods for selecting an appropriate green supplier, most of the existing methods are based on the fixed weight system, which causes these methods to fail to cope with complex and dynamic decision-making environment. To solve this problem, we develop a flexible decision model for green supplier selection where entropy, Technique for order preference by similarity to ideal solution (TOPSIS), and grey relational analysis (GRA) are embedded in the single-valued neutrosophic environment. The single-valued neutrosophic set is a superior tool in dealing with uncertainties, while the integration of single-valued set and classic methods for green supplier selection is limited. In this paper, entropy is integrated with the single-valued neutrosophic set to determine the weights of the criteria for green supplier evaluation; the weighted distance of TOPSIS and the weighted similarity of GRA are combined to select the optimal green supplier. The weights of TOPSIS and GRA are flexible; variable weights are assigned to TOPSIS and GRA based on different decision-making environments. A case study, along with comparative analysis, is carried out to prove the availability of our proposed decision model. Results show that our proposed decision model is flexible to accommodate dynamic decision-making issues and has good practicality.

A New Method to Evaluate Linear Programming Problem in Bipolar Single-Valued Neutrosophic Environment

A New Method to Evaluate Linear Programming Problem in Bipolar Single-Valued Neutrosophic Environment

A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets

Single-valued neutrosophic sets (SVNSs) can effectively describe the multi-attribute decision-making (MADM) problems which are characterized by incompleteness and uncertainty. Aiming at the MADM problem of SVNSs, a series of methods are proposed to solve the problem, such as the TODIM and PROMETHEE methods. The main idea of the TODIM method is to establish a relative superiority function of scheme relative to other schemes based on the value function of prospect theory, and the ranking of alternatives is determined according to the obtained superiority. In the PROMETHEE method, the decision maker selects the preference function for each attribute according to their preference, and then calculates the priority index, inflow, outflow and net flow according to the difference of the attribute values of scheme, so as to determine the ranking of alternatives. In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.

Multi-objective linguistic-neutrosophic matrix game and its applications to tourism management

Game theory plays an important role in numerous decision-oriented real-life problems. Nowadays, many such problems are basically characterized by various uncertainties. Uncertainties come to happen due to decision makers' collection of data, intuition, assumption, judgement, behaviour, evaluation and lastly, due to the problem itself. Fuzzy concept with membership degree made an initialization towards the treatment of uncertainty, but it was not enough. Intuitionistic fuzzy concept was evolved concerning with both membership and non-membership degrees but failed to express reality more accurately. Then, neutrosophy logic was developed with a new degree in uncertainty, say, indeterminacy degree besides membership and non-membership degrees. Multi-objective optimization is an area of multiple-criteria decision making related with mathematical optimization problems involving more than one objective function to be optimized at the same time. Game theory (matrix game) problems with imprecise, vague information, like neutrosophic, can be formed with multiple objective functions. We develop and analyse a matrix game with multiple objectives, and solve the problem under a single-valued neutrosophic environment in linguistic approach. The main achievement of our study is that we here introduce a problem-oriented example to justify our designed methodologies with a successful real-life implications using linguistic neutrosophic data rather than crisp data as used in previous researches.

Emergency Transportation Problem Based on Single-Valued Neutrosophic Set

Emergency events are full of large number of uncertain information. The existence of these uncertain information leads to less research on emergency logistics involving transshipment scenarios. In this paper, a new emergency transport model is proposed, which simulates the scenario of emergency transport from the logistics center to each disaster site and between each disaster site. The single-valued neutrosophic set (SVNS) is applied to transform the emergency transshipment problem into a multiattribute decision-making problem in ambiguous and uncertain environments. Technology for order preference by similarity to ideal solution (TOPSIS) is extended to the single-valued neutrosophic environment to rank and optimize the alternative transshipment routes. Firstly, the attribute weight is determined by using the entropy weight method; secondly, the scoring function of the single-valued neutrosophic fuzzy number is defined; thirdly, the TOPSIS method is used to rank the decision-making; finally, the feasibility and rationality of the proposed method are verified by an emergency operation example.

A ranking method based on possibility mean for multi-attribute decision making with single valued neutrosophic numbers

Single valued neutrosophic (SVN) set has a useful independent mathematical structure for expressing the incomplete, inconsistent and indeterminate information. Many researchers have studied decision making problems with SVN environment. This paper presented a new ranking method of SVN-numbers based on possibility theory for solving a multi-attribute decision making (MADM) problem. The first time we have defined the concept of possibility mean of SVN numbers and applied to multi-attribute decision making problem in which the attribute values are considered as SVN-numbers. Then, we propose the possibility mean of the truth-membership function, indeterminacy-membership function and falsity-membership function for single valued trapezoidal neutrosophic (SVTN) numbers and studied some desired properties of SVTN. Thus, we have developed a new ranking approach using the concept of weighted possibility mean, and applied to MADM problems. Finally, a numerical example is examined to show the applicability and an embodiment of the proposed method.

Type-2 single-valued neutrosophic sets and their applications in multi-criteria group decision making based on TOPSIS method

Type-2 fuzzy set and type-2 intuitionistic fuzzy set are important tools for dealing with problems involving uncertainty and linguistic variables. However, it is sometimes difficult to model problems involving inconsistent data by using these approaches. In this paper, the concept of type-2 single-valued neutrosophic sets is defined in order to cope with this difficulty. Also, some distance measure methods for type-2 single-valued neutrosophic sets based on Hausdorff, Hamming and Euclidean distances are introduced and some properties of them are investigated. Furthermore, a multi-criteria group decision-making method is developed based on TOPSIS approach under the type-2 single-valued neutrosophic environment. Finally, an illustrative example is given in order to show the validity and process of the proposed method.

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications

The aim of this paper is to propose a new similarity measure of singlevalued neutrosophic sets (SVNSs). The idea of the construction of the new similarity measure comes from Chi-square distance measure, which is an important measure in the applications of image analysis and statistical inference. Numerical examples are provided to show the superiority of the proposed similarity measure comparing with the existing similarity measures of SVNSs. A weighted similarity is also put forward based on the proposed similarity. Some examples are given to show the effectiveness and practicality of the proposed similarity in pattern recognition, medical diagnosis and multi-attribute decision making problems under single-valued neutrosophic environment.