Analysis of triangular intuitionistic fuzzy matrix games using robust ranking

In the last three to four decades, Fuzzy decision and Game theory are received great attention from the scientists, engineers, economists and businessmen, and achieved tremendous success as well. To realize the day-to-day problems, researchers use fuzzy and vague sets in their discussions of the gam...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 33; no. 1; p. 327
Main Authors Bhaumik, Ankan, Roy, Sankar Kumar, Deng-Feng, Li
Format Journal Article
LanguageEnglish
Published London Sage Publications Ltd 01.01.2017
Subjects
Decision theory
Fuzzy sets
Game theory
Games
Ranking
Robustness (mathematics)
Studies
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ISSN1064-1246
1875-8967
DOI10.3233/JIFS-161631

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Summary:In the last three to four decades, Fuzzy decision and Game theory are received great attention from the scientists, engineers, economists and businessmen, and achieved tremendous success as well. To realize the day-to-day problems, researchers use fuzzy and vague sets in their discussions of the game problems. In this article, we consider a matrix game whose payoffs are triangular intuitionistic fuzzy numbers and also apply robust ranking technique as ranking of fuzzy numbers to solve the matrix game. Different types of score function approaches, and accuracy function approaches are used in matrix games, but robust ranking technique to solve matrix games is rare in use. We utilize the robust ranking technique to solve matrix game and analyze numerical examples to validate the proposed technique. We describe a conclusion about the proposed study with an outlook of future study.
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ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-161631