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An Interactive Approach for Solving Fuzzy Cooperative Continuous Static Games

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International Journal of Computer Applications
© 2015 by IJCA Journal
Volume 113 - Number 1
Year of Publication: 2015
Authors:
H. A. Khalifa
Ramadan A. Zeineldin
10.5120/19790-1256

H.a.khalifa and Ramadan A Zeineldin. Article: An Interactive Approach for Solving Fuzzy Cooperative Continuous Static Games. International Journal of Computer Applications 113(1):16-20, March 2015. Full text available. BibTeX

@article{key:article,
	author = {H.a.khalifa and Ramadan A. Zeineldin},
	title = {Article: An Interactive Approach for Solving Fuzzy Cooperative Continuous Static Games},
	journal = {International Journal of Computer Applications},
	year = {2015},
	volume = {113},
	number = {1},
	pages = {16-20},
	month = {March},
	note = {Full text available}
}

Abstract

In this paper, a cooperative Continuous static game (F-CCSG) with fuzzy parameters in the cost function of the player is presented. Through the use of the ?-level sets of fuzzy numbers, the F-CCSG is converted to the corresponding ?-CCSG and an extended Pareto optimality concept called the ?-Pareto optimality is introduced. An algorithm for solving the ?-CCSG is suggested. The algorithm is based mainly on the reference attainable point (ARP) method introduced by Wang et al. , [20] and reference direction (RD) method introduced by Narula et al. , [7]. One of the major improvement is the reduction of the number of iterations and hence the computational effort required to obtain the final solution. The stability of the first kind without differentiability corresponding to the final solution is determined. To clarify this approach, a numerical example is given for illustration.

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