Matrix games with 2-tuple linguistic information

Anjali Singh (), Anjana Gupta () and Aparna Mehra ()
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Anjali Singh: Delhi Technological University
Anjana Gupta: Delhi Technological University
Aparna Mehra: Indian Institute of Technology Delhi

Annals of Operations Research, 2020, vol. 287, issue 2, No 18, 895-910

Abstract: Abstract In this contribution, a two-player constant-sum 2-tuple linguistic matrix game is described, and a linguistic linear programming (LLP) approach is proposed to solve this class of games. The proposed approach can be perceived as a unified mechanism in the sense that it can be adopted to solve linguistic matrix game problems, LLP problems, and linguistic multi-attribute decision-making (MADM) problems. The latter is exhibited by presenting examples of linguistic MADM problems modeled as two-player constant-sum linguistic matrix games with Nature as the second player.

Keywords: 2-Tuple linguistic model; Linguistic linear programming problem; Linguistic matrix game; Multi-attribute decision-making problem (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10479-018-2810-6

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