Title: Dealing with inconsistency in a linear programming problems under fuzzy environment

Authors: Arun Kumar Tripathy

Addresses: Department of Mathematics, Trident Academy of Technology, F2/A, Chandaka Industrial Estate, Chandrasekherpur, Bhubaneswar-24, Odisha, India

Abstract: In this paper, we have discussed how to check infeasibility for a linear programming problem. We have used the fuzzy programming to represent the decision makers' view and to handle them. We have developed a generalised fuzzy linear programming method to deal with inconsistency that exists in the constraints in a linear programming problem. A numerical example is provided for the sake of illustration.

Keywords: fuzzy linear programming; inconsistency; fuzzy sets; membership function.

DOI: 10.1504/IJMOR.2015.071281

International Journal of Mathematics in Operational Research, 2015 Vol.7 No.5, pp.566 - 575

Received: 28 Jan 2014
Accepted: 01 May 2014
Published online: 19 Aug 2015 *

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