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

  • Tanya Malhotra
  • Anjana GuptaEmail author
  • Anjali Singh
Conference paper
  • 17 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11974)

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.

Keywords

2-tuple fuzzy linguistic model Interval-valued 2-tuple fuzzy linguistic model Interval linear programming Interval-valued linguistic linear programming Matrix game problem 

Notes

Acknowledgment

This work was financially supported by Delhi Technological University Ref. No. DTU/IRD/619/2019/2107 and Ref. No. DTU/Maths/387/2019-20/2108.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Delhi Technological UniversityDelhiIndia
  2. 2.Mahatma Gandhi Institute of TechnologyJNTUHHyderabadIndia

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