Triangular Fuzzy Number Method Research Articles

Research on risk factor filtering and rating of cold chain logistics from the perspective of root-state risk identification.

The natural attributes of perishable and vulnerable cold chain products make the cold chain have more risks than the general supply chain. The attribute characteristics and internal relations of various risks increase the complexity of risk analysis. The purpose of this paper is to study the horizontal and vertical assessment of various risk factors. The multi-dimensional risk measurement model is used to integrate the assessment of multiple risk factors of human, machine, environment, and management, and the cold chain risk management is discussed from the perspective of risk factor classification. The root-state risk identification (RSRI) method was used to identify potential risks. Based on the double standard filtering and multiple criteria, the filtering of irrelevant risks and screening of uncontrollable risks were evaluated, and the triangular fuzzy number method was used to quantitatively evaluate the controllable risk factors. A total of 223 potential risks, 18 important risks, and 6 key risks were identified, followed by inspection and quarantine reports, pesticide residues, improper loading and unloading operations, unqualified centralized environment, unqualified pre-cooling technology of carriages, and unreasonable storage temperature. According to the analysis results, targeted control measures are proposed to better prevent risks and reduce the probability of cold chain accidents. The traditional risk assessment method can only assess the impact of a single risk factor on the system. This assessment method overcomes this limitation and provides a new perspective for cold chain risk management. PRACTICAL APPLICATION: This study laid the foundation for further risk safety management of cold chain logistics.

Design and Application of Dance Teaching and Evaluation System Based on Big Data

In order to deeply analyze and evaluate the changes in the comprehensive quality of college students' sports dance, the overall idea of systematically evaluating the changes in the comprehensive quality of college students' sports dance was established. Firstly, this article uses the triangular fuzzy number method to measure the evaluation information of the evaluator's dance curriculum plan according to the evaluation indicators. Then, evaluation information from different groups and analytic hierarchy process (AHP) are used to determine the weight of each evaluation index. Finally, this article constructs a website system based on Python's Django framework. In the final system test and questionnaire survey, it was found that users were relatively satisfied with the accuracy of their evaluations and believed that the accurate performance of in-depth learning data analysis would help them save more time and effort in course selection.

Evaluation of Mine Restoration Based on The Comprehensive Empowerment Method

In order to better evaluate the mine restoration, this paper establishes a comprehensive evaluation model. Firstly, G1 method and coefficient of variation method are used for comprehensive evaluation. The land state, vegetation restoration state, water environment restoration state and mine social benefit are analyzed. Secondly, the subjective and objective weight of mine restoration is used to obtain the comprehensive weight. Then, the triangular fuzzy number method is used to comprehensively consider the qualitative and quantitative indicators and obtain the comprehensive score. Finally, the final score is obtained by combining the composite score and the composite weight. According to the case analysis of the three mines, the situation of mine restoration is assessed based on the final score to provide guidance for the mine restoration project.

Comprehensive Evaluation of Mine Safety Based on Improved Game Theory

In order to better evaluate the mine safety, this paper uses the improved comprehensive weighting method based on game theory to comprehensively evaluate the mine safety. Firstly, this paper uses the analytic hierarchy process to subjectively weight the indicators and uses the entropy weight method to objectively weight the indicators, and analyzes the weights of the indicators including personnel, environment, management and equipment. Then, the game theory method is used to coordinate the proportion of the two weights, and the final comprehensive weight is obtained. In the scoring part, the triangular fuzzy number method is used to synthesize the qualitative and quantitative indicators and score them. Finally, the final score is obtained by combining the comprehensive weight and the comprehensive score. In the case analysis, the safety of the three mines is analyzed by this method. By comparing the scores of each other, the level of safety and the shortcomings of each mine can be judged.

Research on state assessment method of subway 35kv switchgear based on multi-feature quantities

The health status of 35kv switchgear directly affects the safe operation of subway. In view of the current problems of single feature quantity, inadequate detection elements and inaccurate overall state evaluation of switch gear, a state evaluation method for metro 35kv switch gear based on multi-feature quantity was proposed. The characteristic parameters such as transient ground voltage, ultrasonic value, cable joint temperature and bus temperature were determined by triangular fuzzy number method with constant weight. The variable weight method was introduced to ensure the balance of state evaluation, and the state evaluation of switch cabinet was carried out with matter-element extenics. The actual detection data of 35kv switchgear 8DA10 in a Shanghai metro substation is taken as an example to verify the effectiveness of the algorithm.

Key performance indicator based dynamic decision-making framework for sustainable Industry 4.0 implementation risks evaluation: reference to the Indian manufacturing industries.

Global corporate giants are keen to adopt Industry 4.0 (I4.0) owing to its continuous, impactful, and evident benefits. However, implementing I4.0 remains a significant challenge for many organizations, mainly due to the absence of a systematic and comprehensive framework. The risk assessment study is key to the flawless execution of any project is a proven fact. This paper aims to develop a KPIs-based sustainable integrated model to assess and evaluate risks associated with the I4.0 implementation. This research paper has developed the I4.0 risks evaluation model through fifteen expert interventions and an extensive systematic literature review. This research, based on sixteen KPIs evaluates six risks impacting the organization’s decision to adopt I4.0. Initially, the Fuzzy Decision-Making Trial and Evaluation Laboratory method is used to map the causal relationship among the KPIs. Further, the additive ratio assessment with interval triangular fuzzy numbers method is used to rank the risks. The study revealed that information technology infrastructure and prediction capabilities are the most crucial prominence and receiver KPIs. Simultaneously, technological and social risks are found to be highly significant in the I4.0 implementation decision-making process. The developed model meticulously supports the manufacturer’s, policymaker, and researchers’ viewpoint toward I4.0 implementation in the present and post COVID-19 pandemic phases in manufacturing companies. The comprehensive yet simple model developed in this study contributes to the larger ambit of new knowledge and extant literature. The integrated model is exceptionally based on the most prominent risks and a wider range of KPIs that are further analyzed by aptly fitting two fuzzy MCDM techniques, which makes the study special as it perfectly takes care of the uncertainties and vagueness in the decision-making process. Hence, this study is pioneering and unique in context to I4.0 risks prioritization aiming to accelerate I4.0 adoption.

Factor analysis and countermeasure simulation on the socio-ecological environment risks during the development of coalbed methane: based on the DEMATEL and FCM models

The socio-ecological environmental problem caused by the development of coalbed methane (CBM) is becoming more serious, so it is very significant for accelerating the development of CBM industrialization to identify the main influential factors of socioecological environmental risks and take effective risk prevention measures. Based on the triangular fuzzy number method, this paper firstly establishes a comprehensive correlation matrix. Then, the affected factors of socio-ecological environmental risks are analyzed by the DEMATEL method during the development of CBM. Then according to the aspects of centrality and causality, the key indicators are determined. Furthermore, the scenario simulation based on the FCM, the steady-state value and the comprehensive importance of key indicators, and the core indicators are selected. Finally, the scenario simulation of risk management countermeasure is done. The results show that: ① The index weights are calculated by the triangular fuzzy numbers, and the correlation matrix in DEMATEL is obtained by the weight ratio, which reduces the shortcomings and the subjectivity of traditional DEMATEL method. ② The correlation matrix in FCM is established based on the comprehensive correlation matrix in the above improved DEMATEL, which not only makes the FCM model more comprehensive and reduces the difficulty that the FCM correlation matrix is obtained considering the indirect influence relationship between indicators, but also makes up for the disadvantages that DEMATEL excludes during the selection of the core indexes, which are the considerations of the dynamic change of the importance of the indicators. ③ The rate of forestry and grass coverage, the ratio of investment in prevention and construction, the pollution index of soil Merlot, the reliability of machinery and equipment, the standard evaluation index of major pollution factors of underground water, and the ability of personal risk prevention are the key indicators, in which the rate of forestry and grass coverage, the ratio of investment in prevention and construction, and the reliability of machinery and equipment are the core indicators and are extremely important for the management of socio-ecological environmental risks during the development of coalbed methane. ④ The results of the scenario simulation of risk management countermeasure show that the core variables affect the socio-ecological environmental risks through such indicators as the degree of production mechanization, the degree of demolition and resettlement, and the ratio of economic loss by the influenced mechanism analysis; the ratio of investment in prevention and construction has the greatest impact on the socio-ecological environment risks in the early stage of CMB development, while the rate of forestry and grass coverage is the most important in the middle and late stages by the influenced result analysis. Therefore, this paper puts forward some corresponding stage suggestions on the prevention and control of socio-ecological environmental risks during the CMB development. In the early stage of CMB development, the ratio of investment in prevention and construction should be increased. In the middle stage, it is very important to reduce the damage of vegetation regions and to improve the reliability of machinery and equipment; in the late stage, the investment in prevention and construction should be increased steadily and the recovery of damaged vegetation areas should be focused on.

Evaluation method of regional water resources carrying capacity based on semipartial connection number and dynamic subtraction set pair potential

为准确和客观地评价区域水资源承载力，从水资源承载力评价样本与评价等级标准这一集对的复杂系统结构角度，应用集对分析半偏联系数和减法集对势方法，构造了定量反映和刻画集对联系数系统结构中联系数分量间微观运动的迁移率矩阵，提出了一种联系数分量值的修正方法，同时基于减法集对势和三角模糊数方法动态确定了差异度系数，构建了区域水资源承载力定量评价方法. 该方法在安徽省淮北市的应用结果表明：2011—2019年水资源承载力介于2~3级之间，承载力较差，系统态势总体上由偏反势向均势过渡，逐渐向好发展；在判别系统态势发展方面，基于普通减法集对势的联系数值由2011年的-0.279变化到2018年的-0.037，再到2019年的-0.218，基于半偏减法集对势的联系数值由2011年的-0.267变化到2018年的-0.035，再到2019年的的-0.207，说明两种方法均适用，但在确定评价等级值方面，评价效果后者更优，相对误差在1 % 以内，这与半偏减法集对势的物理解释意义更为深刻有关. 联系数系统结构中联系数分量间的微观运动结果表明，原联系数中最大分量的值会减小，其他两个分量的变化情况与该分量本身的大小、半偏联系数表示的增量与原联系分量的比例、被迁移的原联系分量的大小有关. 基于半偏联系数和动态减法集对势法可实现联系数的修正更新和差异度系数的动态确定，方法物理解释性强、评价结果准确可靠，为从系统结构成因机理角度准确判别水资源复杂系统所处状态及总体发展趋势提供了新的有效途径.;In order to accurately and objectively evaluate the level of regional water resources carrying capacity (WRCC), from the perspective of WRCC evaluation samples and evaluation level standards, set pair analysis semipartial connection number (SCN) and subtraction set pair potential (SSP) method were applied in this study. A mobility matrix which quantitatively reflects and describes the micro movement between the connection number components (CNCs) in the connection number system structure was constructed, along with a correction method on CNC values. Meanwhile, the difference coefficient was dynamically determined based on SSP and triangular fuzzy number method, and the quantitative evaluation method of regional WRCC was constructed. The application of this method in Huaibei City, Anhui Province showed that WRCC in 2011-2019 was between level 2-3, and the carrying capacity was relatively poor. The overall system situation transited from partial inverse potential to equilibrium potential, and gradually developed for the better. In judging the development of system situation, the connection number value based on SSP changed from -0.279 in 2011 to -0.037 in 2018 and then to -0.218 in 2019, and connection number value based on SSP changed from -0.267 in 2011 to -0.035 in 2018 and then to -0.207 in 2019. Results indicated that both methods were applicable, with the latter one better in determining the evaluation grade value and relative error < 1 %, which was related to the more profound physical interpretation of the semipartial SSP. The micro motion results between the CNCs in the structure of the connection number system showed that the value of the largest component in the original connection coefficient will decrease, and the changes of the other two components are related to the size of the component itself, the proportion of the increment represented by the SCN to the original CNCs, and the size of the migrated original CNCs. Based on the SCN and dynamic SSP method, the correction and updating of connection number and the dynamic determination of difference coefficient can be realized. The method has strong physical interpretation and accurate and reliable evaluation results, which provides a new and effective way to accurately distinguish the state and overall development trend of complex water resources system from the perspective of system structure and genetic mechanism.

Optimal Design of Multimissile Formation Based on an Adaptive SA-PSO Algorithm

In an effort to maximize the combat effectiveness of multimissile groups, this paper proposes an adaptive simulated annealing–particle swarm optimization (SA-PSO) algorithm to enhance the design parameters of multimissile formations based on the concept of missile cooperative engagement. Firstly, considering actual battlefield circumstances, we establish an effectiveness evaluation index system for the cooperative engagement of missile formations based on the analytic hierarchy process (AHP). In doing so, we adopt a partial triangular fuzzy number method based on authoritative assessments by experts to ascertain the weight of each index. Then, considering given constraints on missile performance, by selecting the relative distances and angles of the leader and follower missiles as formation parameters, we design a fitness function corresponding to the established index system. Finally, we introduce an adaptive capability into the traditional particle swarm optimization (PSO) algorithm and propose an adaptive SA-PSO algorithm based on the simulated annealing (SA) algorithm to calculate the optimal formation parameters. A simulation example is presented for the scenario of optimizing the formation parameters of three missiles, and comparative experiments conducted with the traditional and adaptive PSO algorithms are reported. The simulation results indicate that the proposed adaptive SA-PSO algorithm converges faster than both the traditional and adaptive PSO algorithms and can quickly and effectively solve the multimissile formation optimization problem while ensuring that the optimized formation satisfies the given performance constraints.

Research on performance evaluation of rural revitalization project based on value engineering theory

&lt;p&gt;At present, domestic research on rural revitalization mostly focuses on countermeasures and evaluation indicators, and there is little concern about rural performance evaluation. Based on the value engineering theory, this paper constructs the performance evaluation index system model of rural revitalization project, and applies Shapley method, triangular fuzzy number method and fuzzy comprehensive evaluation method to perform indicator weighting and quantitative aggregation of data of the functional elements and cost, and uses the value coefficient as the evaluation criteria of the performance level of rural revitalization project, in order to judge the level of performance of rural revitalization project, analyze the resource utilization efficiency in the implementation process of rural revitalization project, and then point out the direction for the performance optimization measures of rural revitalization project.&lt;/p&gt;

Evaluation of college English classroom teaching quality dependent on triangular fuzzy number

With economic globalization and the informatization of social life, English has become a language extensively used around the globe. The research on the evaluation of English teaching quality is of crucial practical significance and theoretical value. Hence, student evaluation form for the college English classroom teaching quality that has been evaluated and has good reliability is used in this paper to expound the principles of the triangular fuzzy number evaluation method and the range method based on the analytic hierarchy process (AHP). Examples are used to analyze the differences between the two methods as well as their advantages and disadvantages. The comprehensive evaluation result of the teaching quality evaluation of a teacher by using the range method is excellent (85.500 points), and the comprehensive evaluation result by using the triangular fuzzy number method based on the analytic hierarchy process is good (64.818 points). The results show that the range method is better for the comprehensive evaluation of teachers' teaching quality. The statistical analysis results suggest that there are differences between the two methods in the evaluation of the classroom teaching quality in colleges and universities (t = 11.197, P &lt; 0.0001). In the evaluation of the teaching quality by using the triangular fuzzy number evaluation method based on the analytic hierarchy process, the non-linear and fuzzy features of evaluation factors are taken into consideration comprehensively. The weight values of various evaluation indexes are calculated scientifically. The qualitative and quantitative evaluations are combined to obtain the evaluation result of the classroom teaching quality of teachers more objectively, which is of great significance in the practical teaching quality evaluation process.

Module partitioning study of specialized engineering services based on modular theory ——case on coal production firms

Outsourcing of specialized engineering services has become one of the routes to the innovation and high-quality development of the commercial model of coal production enterprises in China. Currently, although there is practice, no scale-up development has been achieved.In this paper, based on modular theory, under the condition of unknown expert weights, triangular fuzzy number method is used to construct a service unit association relationship evaluation model, and the correlation matrix is calculated. Then, a genetic algorithm is used to cluster the association matrix and obtain the results of the division of the outsourced module of engineering services. Finally, the proposed method is validated using the coal mine development process of coal producers as an example.

Recognition criteria and application of lake eutrophication evaluation based on set pair analysis

The set pair analysis evaluation method has been applied to evaluate water quality. However, in real-life applications, because traditional assessing methods usually yield extreme results and are of poor resolution, a hybrid recognition criterion, entropy weight and set pair analysis model is established. The concepts and calculated methods of assessment grade fuzzy characteristic and confidence criterion were proposed in order to solve the problem of determination of the magnitude of lake eutrophication. And the weight value was calculated by entropy weight method and finally got the evaluation grade as a confidence interval based on confidence level. Compared with the set pair analysis based on triangular fuzzy number method (SPA(TFN)) and the improved set pair analysis method (ISPA), the evaluating results of this model are more reasonable and its resolving power is higher. This study offer new insights and possibility to carry out an efficient way for lake eutrophication status evaluation. The study also provides scientific reference in lake risk management for local and national governmental agencies.

Study on the Fuzzy Interval Evaluation for EPS Schemes

In order to evaluate vehicle steering feels of the electric power steering (EPS) system effectively, portability, returnability, the ISO lane change capability, and the on-center steering capability were adopted as test factors. On the basis of group multi-criteria decision-making and fuzzy analytical hierarchy process (AHP) method, the EPS hierarchic fuzzy evaluation model was established, and a simplified scale method was adopted to generate the consistent relation judgment matrices. The drivers’ opinions were aggregated to form Triangular Fuzzy Number method with fuzzy Delphi method. Finally, EPS schemes were ranked with total utility values of fuzzy numbers and the optimal alternative could be selected. An example was given, under this approach, it shows that the decision-making process was a systematic and practical method for EPS schemes selection.

Multi-objective and multi-period optimization of a regional timber supply network with uncertainty

To assess the impacts of uncertainty and environmental objectives on the configuration of timber supply networks, we develop a generic multi-period, mixed-integer fuzzy linear programming model with demand uncertainty and two objectives of minimizing total transportation cost and greenhouse gas (GHG) emissions. We then use the triangular fuzzy number method to define the uncertain demands and convert the model into its equivalent auxiliary crisp counterpart. To derive Pareto solutions more efficiently, we propose the nondominated sorting genetic algorithm (NSGA-II) to solve the model. Finally, we apply the model framework and solution method to a real-world case of regional timber supply in Fujian, China, to demonstrate their applicability. The simulation results of the model show that trade-offs exist between total cost and GHG emissions and that the proper selection of the number and locations of distribution centers can help reduce both the cost and GHG emissions. Demand uncertainty and supply fluctuations across different time periods can increase the cost and GHG emissions. Our empirical results provide useful insights into the design and management of regional timber supply networks, and our generic model is applicable to the analysis of regional supply networks of other products or materials besides timber.

Optimisation of abrasive water jet cutting process parameters for AA5083-H32 aluminium alloy using fuzzy TOPSIS method

This paper reports the identification of abrasive water jet process parameters for the cutting of AA5083-H32 aluminium alloy using the fuzzy TOPSIS method. Such identification requires a precise work in abrasive water jet (AWJ) cutting, considering that it determines the quality and performance of the process. In the present work, optimisation studies were carried out through using the fuzzy TOPSIS method for the determination of better optimal process parameters. The Taguchi full factorial method was used for the experimental design and the weighting of each output response was determined by a triangular fuzzy number method. The selection of optimal input parameters such as water jet pressure of 150 MPa, abrasive mesh size of #80 and jet impingement angle of 80° have been suggested for the precise work conducted in AWJ. A scanning electron microscope (SEM) was used for examining the AWJ cut surfaces at the optimal level of process parameter settings. An energy dispersive X-ray spectroscopy was employed to confirm the number of silicon particles embedded in the cut surfaces. The experimental result indicates the improvement in the quality of AWJ cutting by the fuzzy TOPSIS method through the identification of better optimal input process parameters.

Optimisation of abrasive water jet cutting process parameters for AA5083-H32 aluminium alloy using fuzzy TOPSIS method

This paper reports the identification of abrasive water jet process parameters for the cutting of AA5083-H32 aluminium alloy using the fuzzy TOPSIS method. Such identification requires a precise work in abrasive water jet (AWJ) cutting, considering that it determines the quality and performance of the process. In the present work, optimisation studies were carried out through using the fuzzy TOPSIS method for the determination of better optimal process parameters. The Taguchi full factorial method was used for the experimental design and the weighting of each output response was determined by a triangular fuzzy number method. The selection of optimal input parameters such as water jet pressure of 150 MPa, abrasive mesh size of #80 and jet impingement angle of 80° have been suggested for the precise work conducted in AWJ. A scanning electron microscope (SEM) was used for examining the AWJ cut surfaces at the optimal level of process parameter settings. An energy dispersive X-ray spectroscopy was employed to confirm the number of silicon particles embedded in the cut surfaces. The experimental result indicates the improvement in the quality of AWJ cutting by the fuzzy TOPSIS method through the identification of better optimal input process parameters.

A New Distance and Ranking Method for Triangular Fuzzy Numbers

This study presents an approximate approach for ranking fuzzy triangular numbers based on the distance method of a fuzzy triangular number and its area. The total approximate is determined by convex combining of fuzzy triangular number’s relative and its area that based on decision maker’s optimistic perspectives. The proposed approach is simple in terms of computational efforts and is efficient in ranking a large quantity of fuzzy triangular numbers. By a group of examples in [2] demonstrate the accuracy and applicability of the proposed approach. Finally we construct a new ranking system for fuzzy triangular number which is very realistic and also matching our intuition as the crisp ranking system on R.

Intrinsic Safety Evaluation for Urban Road Traffic Based on Information Entropy and Triangular Fuzzy Number

Road traffic safety is a major problem, especially in low-and middle-income countries. This study attempted to evaluate traffic safety based on the concept of intrinsic safety, which can provide theoretical support for the road traffic management departments. The evaluation weight calculation about the pre-weight of the second level evaluation index based on the information entropy, and then calculates the final weight by combing qualitative and quantitative methods. The weight of the third level evaluation index using the triangular fuzzy number method. In order to verify the effectiveness and feasibility of the method via a case study. by computing the proportions of evaluation indexes based on the model, we found that the ranking is intrinsic human>intrinsic road and environment>intrinsic vehicle. However, the gap about the proportion of the three is small. Furthermore, the sub factors ranking influencing factors as follows: the human's alertness = road and the environment’s completeness>vehicle’s technical>human’s self-consciousness >natural conditions >vehicle’s maintenance. Given the objectivity of the model in the paper, especially using the entropy weight method to calculate the weight of the index factors. The result of the evaluation for the model is similar with current situation of road traffic safety, thus, it can be taken as a valuable reference to promoting the traffic safety. So it can provide theoretical basis for urban road transport departments to formulate relevant policies.

A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability

The evaluation of surrounding rock stability is a complex problem involving numerous uncertainty factors. Here, based on set pair analysis (SPA) coupled with extenics, a novel model, considering incompatibility, certainty, and uncertainty of evaluation indicators, was presented to analyze the surrounding rock stability. In this model, extension set was first utilized to describe the actual problem of surrounding rock stability. Then, the connectional membership degree of the set pair was introduced to compare the measured values with classification standards from three aspects embracing identity, discrepancy, and contrary. Also, according to identity-discrepancy-contrary (IDC) analysis in the universe of the extension set, the connection numbers were proposed to specify the connectional membership degree of an evaluation indicator to each class. Combined with the weights of evaluation indicators, integrated connectional membership degrees were calculated to determine their classes of rock stability. Finally, a case study and comparison with variable fuzzy set method, triangular fuzzy number method, and basic quality (BQ) grading method were performed to confirm the validity and reliability of the proposed model. The results show that this model can effectively and quantitatively express the differences within a group, transformation of different groups, and uncertainty of complex indicators as a whole.