Abstract

In this paper, we describe the technique for calculating minimum violation of a system in fuzzy linear inequalities showing it is also an efficient violation.For this purpose, degree of inconsistency of a crisp system of linear inequalities is defined, and degree of feasibility and degree of consistency for a linear system with violation inequality are presented and then the minimum violation is calculated by solving a convex quadratic programming. The minimum violation of fuzzy linear programming (FLP) is also computed with numerical examples illustrated by the obtained results and its practical implementation.

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