El-Saeed Ammar

Work place: Department of Mathematics Faculty of Science. Tanta University, Tanta, Egypt



Research Interests: Information Theory, Combinatorial Optimization, Analysis of Algorithms


El-Saeed Ammar received his Ph.D. degree in Applied Mathematics from Technical University of Dresden, Germany in 1993. He is Professor in the Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt. His research interests include optimization, investment, algorithms, games theory, portfolio optimization, sensitivity analysis, fuzzy set theory, global optimization, rough sets and etc. Prof. ElSaeed Ammar is the author of many research articles published in scientific journals.

Author Articles
Solving Bi-matrix Games in Tourism Planning Management under Rough Interval Approach

By M. G. Brikaa El-Saeed Ammar Zhoushun Zheng

DOI: https://doi.org/10.5815/ijmsc.2019.04.05, Pub. Date: 8 Nov. 2019

The aim of this article is to propose a novel and simple technique for solving bi-matrix games with rough intervals payoffs. Since the payoffs of the rough bi-matrix games are rough intervals, then its value is also a rough interval. In this technique, we derived four bilinear programming problems, which are used to obtain the upper lower bound, lower lower bound, lower upper bound and upper upper bound of the rough interval values of the players in rough bi-matrix games which we called in this article as 'solution space'. Moreover, the expected value operator and trust measure of rough interval have been used to find the α-trust equilibrium strategies and the expected equilibrium strategies of rough interval bi-matrix games. Finally, numerical example of tourism planning management model is presented to illustrate the methodologies adopted and solution procedure.

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