Open AccessA Parametric Approach for Solving Interval–Valued fractional Continuous Static Games
Author(s) -
Mervat M. Elshafei
Publication year - 2019
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v17i0.8419
Subject(s) - mathematics , interval (graph theory) , mathematical optimization , parametric statistics , flowchart , pareto principle , point (geometry) , computer science , statistics , combinatorics , programming language , geometry
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.