A Ranking Method of Triangular Intuitionistic Fuzzy Numbers and Application to Decision Making [PDF]
Ranking of triangular intuitionistic fuzzy numbers (TIFNs) is an important problem, which is solved by the value and ambiguity based ranking method developed in this paper. Firstly, the concept of TIFNs is introduced. Arithmetic operations and cut sets over TIFNs are investigated.
Deng-Feng Li 0001 +2 more
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A Lexicographic Method for Matrix Games With Payoffs of Triangular Intuitionistic Fuzzy Numbers [PDF]
The intuitionistic fuzzy set (IF-set) has not been applied to matrix game problems yet since it was introduced by K.T.Atanassov. The aim of this paper is to develop a methodology for solving matrix games with payoffs of triangular intuitionistic fuzzy numbers (TIFNs).
Deng-feng Li
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Two-Sided Matching for Triangular Intuitionistic Fuzzy Numbers in Smart Environmental Protection [PDF]
Triangular intuitionistic fuzzy numbers (TIFNs) are effective and flexible to characterize the fuzziness and uncertainty in real-world problems. The theories of TIFNs have been used in multi-attribute decision making but are rarely applied in a two-sided matching decision.
Lili Zhang, Qi Yue, Bingwen Yu
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Some existing theories of triangular intuitionistic fuzzy numbers (TIFNs) and triangular intuitionistic fuzzy sets (TIFSs) are proved in this paper. In addition, this paper also provides some novel theorems and related proofs on TIFNs and TIFSs. Moreover, the presented theories are applied in the field of two-sided matching decision-making. A numerical
Wen-Chang Zou, Qi Yue, Yuan Tao
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Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation
In this paper we introduce the different arithmetic operations on nonlinear intuitionistic fuzzy number (NIFN). All the arithmetic operations are done by max-min principle method which is nothing but the application of interval analysis. We also define the nonlinear intuitionistic fuzzy function which is used for finding the values, ambiguities, and ...
Sankar Prasad Mondal +2 more
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A TODIM-Based Multi-Criteria Group Decision Making With Triangular Intuitionistic Fuzzy Numbers
TODIM (an acronym in Portuguese of interactive and multicriteria decision making), which can capture the decision-makers’ (DMs) psychological behavior, is a recently developed multiple criteria decision making (MCDM) method. The classical TODIM method is introduced to handle information in the form of crisp numbers, but it has no capability to deal ...
Yu-Wang Chen, Quande Qin, Gao-Feng Yu
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Abstract In the present study, we formulate an inventory model with waste disposal cost under the intuitionistic fuzzy environment. To optimize the best inventory policy under the intuitionistic fuzzy environment, the alpha-cut approach is used for the defuzzification of all intuitionistic fuzzy decision variables.
Surendra Singh, Tanuj Kumar
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A note on “A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number” [PDF]
The aim of this note is to point out the error in the existing method [J.-X. Nan, M.-J. Zhang and D.-F. Li, A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number, Journal of Intelligent and Fuzzy Systems, DOI: 10.3233/IFS-130956] and to suggest the required modifications to resolve this error.
Tina Verma, Amit Kumar 0003
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Modified new operations for triangular intuitionistic fuzzy numbers
Intuitionistic fuzzy sets (IFS) are a generalization of the concept of fuzzy set. In standard intuitionistic fuzzy arithmetic operations, we have some grievances in subtraction and division operations. In this paper, modified new operations for subtraction and division on triangular intuitionistic fuzzy numbers (TIFNS) are defined.
null R. Irene Hepzibah, null R.Vidhya
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Fuzzy Transportation Problem with Intuitionistic Triangular Trapezoidal Fuzzy Number
Transportation issues are fundamental for the improvement of financial matters and society. All subjects considered, the parameters of transportation troubles won't be deterministic. The powerful approach to symbolize the inaccuracy of the information is fluffy amount.
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