M. G. Brikaa

Work place: School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan, PR China



Research Interests: Mathematical Software, Mathematical Analysis, Computational Learning Theory


Mohamed Gaber Brikaa received his B.Sc. and M.Sc. degree in Mathematics from Faculty of Science, Suez Canal University, Egypt. Currently He is pursuing his Ph.D. degree in Mathematics at Faculty of Science, Suez Canal University, Egypt. He is currently an assistant lecturer at faculty of Computers and Informatics, Suez Canal University, Egypt. His research interest is in games theory, mathematical programming, fuzzy programming, rough programming and etc. He also 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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