Ranking Triangular Fuzzy Numbers Using Fuzzy Set Inclusion Index

2013 ◽  
pp. 100-108 ◽  
Author(s):  
Azedine Boulmakoul ◽  
Mohamed Haitam Laarabi ◽  
Roberto Sacile ◽  
Emmanuel Garbolino
Keyword(s):  
Fuzzy Set ◽  
Fuzzy Numbers ◽  
Triangular Fuzzy Numbers ◽  
Set Inclusion

scholarly journals Reliability Analysis in Planning of Traction Substation Reconstruction Based on Fuzzy Set Theory

2020 ◽  
pp. 52-62
Author(s):  
Vladislav G. Belov ◽  
Vladimir A. Tremyasov
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Fuzzy Numbers ◽  
Probabilistic Method ◽  
Reliability Assessment ◽  
Electrical Equipment ◽  
Triangular Fuzzy Numbers ◽  
Traction Substation ◽  
Reliability Indicators

The study proposes a probabilistic method using triangular fuzzy numbers to analyze the reliability of the traction substation. With this approach, the reliability assessment of the traction substation can be performed considering changes in the values of reliability indicators of electrical equipment, determined on the basis of the fuzzy set theory

scholarly journals Quadratic Programming Method for Cooperative Games with Coalition Values Expressed by Triangular Fuzzy Numbers and Its Application in the Profit Distribution of Logistics Coalition

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Jia-Cai Liu ◽  
Yuan-Fei Zhu ◽  
Wen-Jian Zhao
Keyword(s):  
Quadratic Programming ◽  
Fuzzy Set ◽  
Cooperative Games ◽  
Fuzzy Numbers ◽  
Programming Model ◽  
Least Square ◽  
Triangular Fuzzy Numbers ◽  
Profit Distribution ◽  
Cut Set ◽  
Quadratic Programming Method

A quadratic programming model is constructed for solving the fuzzy cooperative games with coalition values expressed by triangular fuzzy numbers, which will be abbreviated to TFN-typed cooperative games from now on. Based on the concept of α-cut set and the representation theorem for the fuzzy set, the least square distance solution for solving TFN-typed cooperative games is proposed. The least square distance solution successfully avoids the subtraction operation of TFNs, which may inevitably lead to the amplification of uncertainty and the distortion of decision information. A calculating example related to the profit distribution of logistics coalition is illustrated to show the advantages, validity, and applicability of the proposed method. Besides, the least square distance solution for solving TFN-typed cooperative games satisfies many important properties of cooperative games, such as uniqueness, additivity, symmetry, and uniqueness.

Totally Symmetric Type-2 Triangular Fuzzy Numbers

2018 ◽  
Vol 9 (11) ◽  
pp. 1717-1727
Author(s):  
Ajay Minj ◽  
Pathinathan T.
Keyword(s):  
Fuzzy Numbers ◽  
Triangular Fuzzy Numbers

scholarly journals The Application of Fuzzy Theory in the Evaluation of Visual Images of Smartphone Rear Cameras

2021 ◽  
Vol 11 (8) ◽  
pp. 3555
Author(s):  
Chien-Hsiung Chen ◽  
Zhongzhen Lin
Keyword(s):  
Factor Analysis ◽  
Fuzzy Numbers ◽  
Fuzzy Theory ◽  
Consumer Perceptions ◽  
Visual Images ◽  
Triangular Fuzzy Numbers ◽  
Potential Consumer ◽  
Comprehensive Comparison ◽  
Different Shapes ◽  
The Relationship

In the present era, technology is developing rapidly. Smartphones play a significant part in people’s lives. However, the research on smartphones mainly focuses on the area of technological realization. The purposes of this study were to examine the relationship between the various rear cameras in smartphones and consumer perceptions, and to understand consumers’ purchasing intentions and preferences. Through the methods of multidimensional scaling (MDS), factor analysis and triangular fuzzy numbers, the visual images of the smartphone rear cameras were analyzed and discussed. The results indicate that the visual images taken by different shapes of rear camera are quite distinct in the categories of innovative and fashionable, and simple and pure, but less distinct in the categories of harmonious and ordered, premium and technical, and superior and valuable. Through a comprehensive comparison, four groups whose images were similar were created. The outcome effectively reflects the potential consumer demands for smartphone rear camera patterns, providing insights for design practices in the smartphone industry.

scholarly journals AN EXTENSION OF THE RATIO SYSTEM APPROACH OF MOORA METHOD FOR GROUP DECISION-MAKING BASED ON INTERVAL-VALUED TRIANGULAR FUZZY NUMBERS

2015 ◽  
Vol 22 (1) ◽  
pp. 122-141 ◽  
Author(s):  
Dragisa STANUJKIC
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
System Approach ◽  
Fuzzy Numbers ◽  
Group Decision ◽  
Weighted Averaging ◽  
Performance Ratings ◽  
Triangular Fuzzy Numbers ◽  
Moora Method ◽  
Interval Valued

Decision-making in fuzzy environment is often a very complex, especially when related to predictions and assessments. The Ratio system approach of the MOORA method and Intervalvalued fuzzy numbers have already proved themselves as the effective tools for solving complex decision-making problems. Therefore, in this paper an extension of the Ratio system approach of the MOORA method, which allows a group decision-making as well as the use of interval-valued triangular fuzzy numbers, is proposed. Interval-fuzzy numbers are rather complex, and therefore, they are not practical for direct assigning performance ratings. For this reason, in this paper it has also been suggested the approach which allows the expression of individual performance ratings using crisp, interval or fuzzy numbers, and their further transformation into the group performance ratings, expressed in the form of interval-valued triangular fuzzy numbers, which provide greater flexibility and reality compared to the use of linguistic variables. Finally, in this paper the weighted averaging operator was proposed for defuzzification of interval-valued triangular fuzzy numbers.

ANALYSIS OF FUZZY QUEUES BY USING PENTAGONAL FUZZY NUMBER

2021 ◽  
Vol 23 (04) ◽  
pp. 211-224
Author(s):  
Gurcharan Singh ◽  
◽  
Baljodh Singh ◽  
Neelam Kumari ◽  
◽  
...  
Keyword(s):  
Probability Theory ◽  
Fuzzy Set ◽  
Fuzzy Number ◽  
Queuing Theory ◽  
Fuzzy Numbers ◽  
Real Life ◽  
Linguistic Terms

This paper deals with the fact thatpentagonal fuzzy numbers are pre-owned and systematic outcomes are discussed in real-life situations. The fuzzy set supposition is combined with well-established classical queuing theory but the classical queuing theory is far away from real-life situations. In this approach, we can use both fuzzy and probability theory to make this work more realistic with the help of the α-cut technique. Symmetric pentagonal fuzzy numbers are used to elaborate on the situation of the queue in linguistic terms.

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