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A Novel Technique for Solving Two-Person Zero-Sum Matrix Games in a Rough Fuzzy Environment
2022
Journal:  
Yugoslav Journal of Operations Research
Author:  
DOI:  
10.2298/YJOR2106
Abstract:

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 develope 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.

Keywords:

2022
Journal:  
Yugoslav Journal of Operations Research
Author:  
DOI:  
10.2298/YJOR2106
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Yugoslav Journal of Operations Research

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 204
Cite : 12
2023 Impact : 0.022
Details
Yugoslav Journal of Operations Research