Title | ||
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A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number. |
Abstract | ||
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The main objective of this paper is to develop a new ranking methodology for solving matrix games with intuitionistic fuzzy payoffs in terms of a value and ambiguity of triangular intuitionistic fuzzy numbers (TIFNs). In order to obtain an equilibrium solution of this matrix game, we construct two auxiliary TIFN programming models that are transformed into bi-objective linear programming models which are solved by a lexicographic methodology. The validity and applicability of the proposed methodology in this paper are illustrated with a numerical example. |
Year | DOI | Venue |
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2014 | 10.3233/IFS-130956 | JOURNAL OF INTELLIGENT & FUZZY SYSTEMS |
Keywords | Field | DocType |
Triangular intuitionistic fuzzy number,matrix game,mathematical programming,lexicographic method | Discrete mathematics,Ranking,Programming paradigm,Fuzzy logic,Linear programming,Lexicographical order,Matrix games,Fuzzy number,Ambiguity,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 6 | 1064-1246 |
Citations | PageRank | References |
1 | 0.35 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jiang-Xia Nan | 1 | 93 | 5.05 |
Maojun Zhang | 2 | 314 | 48.74 |
Deng-Feng Li | 3 | 968 | 46.12 |