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2020 | OriginalPaper | Buchkapitel

Methodology for Interval-Valued Matrix Games with 2-Tuple Fuzzy Linguistic Information

verfasst von : Tanya Malhotra, Anjana Gupta, Anjali Singh

Erschienen in: Numerical Computations: Theory and Algorithms

Verlag: Springer International Publishing

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Abstract

In this paper, we consider a non-cooperative 2-player zero-sum interval-valued 2-tuple fuzzy linguistic (IVTFL) matrix game and develop a methodology to evaluate its saddle point and optimal interval-valued linguistic value of the game. In this direction, we have constructed an auxiliary pair of interval-valued linguistic linear programming (IVLLP) problem that is further transformed into conventional interval linear programming (ILP) problem to obtain optimal strategy sets of both players as the region that is not only completely feasible but also totally optimal. The proposed method is illustrated via a hypothetical example to show its applicability in the real world. To validate the suggested solution scheme, the transformed ILP problems are solved using best-worst case (BWC) approach, enhanced-interval linear programming (EILP) method and linguistic linear programming (LLP) technique of solving interval linguistic matrix game problems and lastly the obtained results are compared.

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Titel: Methodology for Interval-Valued Matrix Games with 2-Tuple Fuzzy Linguistic Information
verfasst von: Tanya Malhotra
Anjana Gupta
Anjali Singh
Verlag: Springer International Publishing
Buch: Numerical Computations: Theory and Algorithms
Print ISBN: 978-3-030-40615-8

Electronic ISBN: 978-3-030-40616-5

Copyright-Jahr: 2020
DOI: https://doi.org/10.1007/978-3-030-40616-5_12

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