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Interval-valued intuitionistic trapezoidal fuzzy number and its application
2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC), 2014In 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.
Ping Guo, Wenyi Zeng
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International Journal of Fuzzy System Applications, 2017 P-norm Generalized Trapezoidal Intuitionistic Fuzzy Number is the most generalized form of Fuzzy as well as Intuitionistic Fuzzy Number. It has a huge application while solving various problems in imprecise environment. In this paper the authors have discussed some basic arithmetic operations of p-norm Generalized Trapezoidal Intuitionistic Fuzzy ...
Sanhita Banerjee, Tapan Kumar Roy
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Neural Computing and Applications, 2022
Jeevaraj S, V Lakshmana Gomathi Nayagam
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Jeevaraj S, V Lakshmana Gomathi Nayagam
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Approximation of intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2017The notation of extended intuitionistic fuzzy number is introduced and the representation of the weighted extended trapezoidal intuitionistic approximation of an intuitionistic fuzzy number is given in this paper. The problem related to aggregation is addressed about approximating the given intuitionistic fuzzy numbers or aggregating the given ...
Shuyang Li +2 more
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Ranking of trapezoidal intuitionistic fuzzy numbers
2012 12th International Conference on Intelligent Systems Design and Applications (ISDA), 2012Techniques for ranking simple fuzzy numbers are abundant in nature. However, we lack effective methods for ranking intuitionistic fuzzy numbers(IFN). The aim of this paper is to introduce a new ranking procedure for trapezoidal intuitionistic fuzzy number(TRIFN). To serve the purpose, the value and ambiguity index of TRIFNs have been defined.
P. K. De, Debaroti Das
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Algorithm for Shortest Path Problem in a Network with Interval-valued Intuitionistic Trapezoidal Fuzzy Number [PDF]
Procedia Computer Science, 2015 The shortest path problem is a classical network optimization problem which has a wide range of applications in various fields of science and engineering.
Neeraj Gandotra, Rakesh Kumar Bajaj
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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), 2013A 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
2019The 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
2016In 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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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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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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