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A Study on Nash Min-Max Hybrid Continuous Static Games Under Fuzzy Environment |
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PP: 59-69 |
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doi:10.18576/msl/100204
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Author(s) |
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Yousria A. Elnaga,
Moustafa K. El-sayed,
Ali S. Shehab,
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Abstract |
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| This paper focuses on hybrid continuous static games (HCSGs) that involve multiple players playing independently using the Nash equilibrium solution (NES) and others playing under a secure concept using Min-Max solution (MMS). All players having fuzzy parameters in both the cost functions and the constraints. These fuzzy parameters are characterized by fuzzy numbers. The concept of the α−level set used for converting the fuzzy hybrid continuous static games (F-HCSGs) to a deterministic problem α−HCSGs. Here a hybrid Nash Min-Max approach used to solve the deterministic problem. Furthermore, qualitative analysis of some basic notions in parametric fuzzy hybrid continuous static games is presented. These notions are: (i) The set of feasible parameters, (ii) The solvability set of feasible parameters, (iii) The stability set of the first kind, and (iv) The stability set of the second kind..
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