Geodesic
A Novel Technique for Solving Two-Person Zero-Sum Matrix Games in a Rough Fuzzy Environment
Yugoslav journal of operations research, Tome 32 (2022) no. 2, p. 251 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

This study proposes a novel way to deal with uncertainty in a two-person zero-sum matrix game with payoffs expressed as fuzzy rough numbers. Complete and reasonable solutions to these types of games are obtained. In this research we develop two linear programming models with upper and lower approximation intervals of fuzzy rough numbers and handle multi-objective crisp linear programming models by incorporating trapezoidal fuzzy rough numbers as payoffs. To provide each opponent with the optimal strategy and value of the game, the usual simplex approach is applied. Finally, two numerical examples demonstrate the matrix game outcomes using Wolfram Cloud.
Classification : 91A05, 93A30
Keywords: Fuzzy Rough Number, Zero-Sum Game, Fuzzy Rough Game, Multi-Objective Model. 
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     author = {Vinod Jangid and Ganesh Kumar},
     title = {A {Novel} {Technique} for {Solving} {Two-Person} {Zero-Sum} {Matrix} {Games} in a {Rough} {Fuzzy} {Environment}},
     journal = {Yugoslav journal of operations research},
     pages = {251 },
     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2022_32_2_a7/}
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Vinod Jangid; Ganesh Kumar. A Novel Technique for Solving Two-Person Zero-Sum Matrix Games in a Rough Fuzzy Environment. Yugoslav journal of operations research, Tome 32 (2022) no. 2, p. 251 . http://geodesic.mathdoc.fr/item/YJOR_2022_32_2_a7/