On Multiple Objective Linear Programming Problems with Fuzzy Rough Coefficient.

Document Type : Research Studies

Authors

1 Prof. of Pure Mathematics Faculty of Education, Kafr El-Shiekh University

2 Prof. of Computer Science, Faculty of Science, Mansoura University.

3 Ass. Lecturer, Faculty of Science, Mansoura University

Abstract

This paper deals with the multiple objective linear programing problems with fuzzy rough coefficients. We consider the problem by incorporating fuzzy rough coefficients into a multiple objective linear programming framework. A solution concept that is attractive from the stand points of feasibility and rough efficiency is specified. A necessary and sufficient condition for such a solution is established.
A numerical example is also included for the sake illustration.

Main Subjects