Bimatrix games under dense fuzzy environment and its application to natural disaster management

Karmakar, Shuvasree; Seikh, Mijanur Rahaman

doi:10.1007/s10462-022-10220-6

Artif Intell Rev

2022

DOI: 10.1007/s10462-022-10220-6

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Bimatrix games under dense fuzzy environment and its application to natural disaster management

Shuvasree Karmakar

Mijanur Rahaman Seikh

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Cited by 3 publications

References 31 publications

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Modified approaches to solve matrix games with payoffs of single-valued trapezoidal neutrosophic numbers

Kirti,

Verma,

Kumar

2023

Soft Comput

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Seikh and Dutta (Soft Computing (2022) 26:921-936) pointed out that there does not exist any approach to solve single-valued trapezoidal neutrosophic (SVTN) matrix games (matrix games in which each payoff is represented by a SVTN number). To fill this gap, Seikh and Dutta proposed two approaches to solve SVTN matrix games. Brikaa (Soft Computing (2022) 26:9137-9139) pointed out that it is inappropriate to use Seikh and Dutta's first approach as a mathematically incorrect result is considered in it. Brikaa also modified Seikh and Dutta's first approach to resolve its inappropriateness. In this paper, it is pointed out that it is also inappropriate to use Brikaa's approach as some mathematically incorrect results are considered in it. Also, it is pointed out that it is inappropriate to use Seikh and Dutta's second approach as a mathematically incorrect result is considered in it. Furthermore, Brikaa's approach and Seikh and Dutta's second approach are modified to resolve their inappropriateness. Finally, the correct results of a SVTN matrix game, considered by Seikh and Dutta to illustrate their proposed approaches, are obtained by the modified approaches.

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Modified approaches to solve matrix games with payoffs of single-valued trapezoidal neutrosophic numbers

Kirti,

Verma,

Kumar

2023

Soft Comput

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Railway Transportation Scheme Selection Based a CODAS-COPRAS Method in Triangular Dense Fuzzy Linguistic Term Lock Environment

Fan,

Yuan,

2024

Int. J. Fuzzy Syst.

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A Note on “A Methodology for Solving Bimatrix Games Under 2-Tuple Linguistic Environment”

Kirti,

Verma,

Kumar

2024

Int. Game Theory Rev.

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To the best of authors’ knowledge, only two methods are proposed in the literature to solve 2-tuple linguistic bi-matrix games. In this paper, a 2-tuple linguistic bi-matrix game is considered to show that none of these methods is valid and hence, it is inappropriate to use these methods to solve 2-tuple linguistic bi-matrix games. Also, a new method is proposed to solve 2-tuple linguistic bi-matrix games. Furthermore, the origin of the proposed method as well as its validity is discussed. Finally, the proposed method is illustrated with the help of the considered 2-tuple linguistic bi-matrix game.

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Bimatrix games under dense fuzzy environment and its application to natural disaster management

Cited by 3 publications

References 31 publications

Modified approaches to solve matrix games with payoffs of single-valued trapezoidal neutrosophic numbers

Modified approaches to solve matrix games with payoffs of single-valued trapezoidal neutrosophic numbers

Railway Transportation Scheme Selection Based a CODAS-COPRAS Method in Triangular Dense Fuzzy Linguistic Term Lock Environment

A Note on “A Methodology for Solving Bimatrix Games Under 2-Tuple Linguistic Environment”

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