A Parametric Approach for Solving Interval–Valued fractional Continuous Static Games

  • Mervat Elshafei
Keywords: Continuous Static Games, Nonlinear Programming Problem, Fractional Programming problem, Interval-Valued optimization


The aim of this paper is to show that a parametric approach can be used to solve fractional continuous static games with interval-valued in the objective function and in the constraints. In this game, cooperation among all the players is possible, and each player helps the others up to the point of disadvantage to himself, so we use the Pareto-minimal solution concept to solve this type of game. The Dinkelbach method is used to transform fractional continuous static games into non- fractional continuous static games. Moreover, an algorithm with the corresponding flowchart to explain the suggested approach is introduced. Finally, a numerical example to illustrate the algorithm’s steps is given.


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Author Biography

Mervat Elshafei

Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt.


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How to Cite
Elshafei, M. (2019). A Parametric Approach for Solving Interval–Valued fractional Continuous Static Games. JOURNAL OF ADVANCES IN MATHEMATICS, 17, 155-164. https://doi.org/10.24297/jam.v17i0.8419