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Interval-valued intuitionistic trapezoidal fuzzy number and its application

2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC), 2014
In this paper, we propose the new type of fuzzy number, intuitionistic trapezoidal fuzzy number(ITFN) and intervalvalued intuitionistic trapezoidal fuzzy number(IVITFN), study some properties of them, and investigate some algebraic operations between two IVITFNs. We also present the sorting criteria for IVITFN based on its definition.
Junhong Li, Wenyi Zeng, Ping Guo
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Aggregation operators using einstein operations on intuitionistic trapezoidal fuzzy number

2013 10th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2013
A multi-criteria group decision-making method based on Einstein aggregation operations is investigated to solve the decision-making problems under the intuitionistic trapezoidal fuzzy set environment. This study proposes to develop some novel intuitionistic fuzzy Einstein geometric aggregation operators with ITFNs, such as the intuitionistic ...
Xinye Zhao   +3 more
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Trapezoidal Intuitionistic Approximations of Intuitionistic Fuzzy Numbers Preserving the Width

2019
The problem is discussed about approximating a sequence of intuitionistic fuzzy numbers or aggregating the sequence of intuitionistic fuzzy numbers and then approximating the output of aggregation with condition of preserving the width. An interesting conclusion is obtained.
Shu-yang Li, Hong-xing Li
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Fuzzy Risk Analysis Method Based on Trapezoidal Intuitionistic Fuzzy Numbers

2016
In this paper, a new fuzzy risk analysis method is proposed based on trapezoidal intuitionistic fuzzy numbers. A new weighted similarity measure between trapezoidal intuitionistic fuzzy numbers is presented based on centers-of-gravity of membership and nonmembership functions.
Xiaojie Zhou, Shuai Wang, Cheng Zhang
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Mehar Methods to Solve Intuitionistic Fuzzy Linear Programming Problems with Trapezoidal Intuitionistic Fuzzy Numbers

2018
While solving real-life linear programming problems, there may exist the situation of uncertainty and hesitancy due to several factors. To deal with such situations, intuitionistic fuzzy data representation is widely used. Many authors have investigated and proposed methods to find the solution of intuitionistic fuzzy linear programming (IFLP) problems
Sukhpreet Kaur Sidhu, Amit Kumar
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A linear ordering on the class of Trapezoidal intuitionistic fuzzy numbers

Expert Systems with Applications, 2016
A complete ranking on the class of trapezoidal intuitionistic fuzzy numbers is achieved.In this paper our proposed method is compared with all familiar existing methods.Proposed ranking method is the best one when compare with all existing methods.Proposed ranking method is computationally easy to calculate for any TrIFNs.
Lakshmana Gomathi Nayagam V.   +2 more
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Grey relational bidirectional projection method based on trapezoidal type-2 intuitionistic fuzzy numbers

Journal of Intelligent & Fuzzy Systems, 2020
 Intuitionistic fuzzy number, which is an extension of fuzzy number, has been applied in many fields as it considers membership degree and non-membership degree. However, in some circumstances, intuitionistic fuzzy number does not express uncertainty and vagueness well.
Li, Meiqian   +2 more
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Diverse Ranking Approach in MCDM Based on Trapezoidal Intuitionistic Fuzzy Numbers

2019
Intuitionistic fuzzy set (IFS) is a generalization of the fuzzy set that is characterized by the membership and non-membership function. It is proven that IFS improves the drawbacks in fuzzy set since it is designed to deal with the uncertainty aspects.
Zamali Tarmudi, Norzanah Abd Rahman
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A Novel Multi-criteria Decision Making Approach Using Trapezoidal Intuitionistic Fuzzy Number

2018 Fourth International Conference on Research in Computational Intelligence and Communication Networks (ICRCICN), 2018
The arrangement of fuzzy number, either in ascending or descending order, is utmost significant in optimization modeling, decision making and also in ranking fuzzy numbers. As a generalization of the fuzzy number, ranking is more difficult due to the fact that Trapezoidal Intuitionistic Fuzzy Number (TrIFNs) is a popular and specific intuitionistic ...
Dhrubajyoti Ghosh, Sandip Dey, Anita Pal
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Multiple Attribute Group Decision Analysis for Intuitionistic Triangular and Trapezoidal Fuzzy Numbers

International Journal of Fuzzy System Applications, 2016
Solving Multiple Attribute Group Decision Making (MAGDM) problems has become one of the most important researches in recent days. In situations where the information or the data is of the form of an Intuitionistic Triangular Fuzzy Number (ITrFN) or Intuitionistic Trapezoidal Fuzzy Number (ITzFN), a new distance function is defined for ranking the ...
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