On optimal constraint violation in fuzzy inequality systems

M. Keyanpour () and S. Ketabchi ()
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M. Keyanpour: University of Guilan
S. Ketabchi: University of Guilan

Fuzzy Information and Engineering, 2012, vol. 4, issue 1, 3-11

Abstract: 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.

Keywords: Violation of constraint; Degree of feasibility; Degree of consistency; Fuzzy linear programming (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s12543-012-0097-x

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