• PARETO–MINIMAL SOLUTIONS FOR ROUGH CONTINUOUS STATIC GAMES

Abstract

This paper studies a new framework to hybridize the rough set theory with the continuous static games called Rough Continuous Static Games (RCSGs). In Continuous static games, the decision possibilities need not be discrete, and the decisions and costs are related in a continuous rather than a discrete manner. The game is static in the sense that no time history is involved in relationship between cost and decisions.

In this paper, Pareto–minimal solutions are presented to solve (RCSGs). Additionally, a numerical illustrative example is given to clarify the main results developed in the paper.