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Original Articles

Involving Fuzzy Orders for Multi-Objective Linear Programming

Pages 366-382 | Received 31 Aug 2011, Accepted 12 Apr 2012, Published online: 25 May 2012
 

Abstract

This paper presents a solution approach for multi-objective linear programming problem. We propose to involve fuzzy order relations to describe the objective functions where in ”classical” fuzzy approach the membership functions which illustrate how far the concrete point is from the solution of individual problem are studied. Further the global fuzzy order relation is constructed by aggregating the individual fuzzy order relations. Thus the global fuzzy relation contains the information about all objective functions and in the last step we find a maximum in the set of constrains with respect to the global fuzzy order relation. We illustrate this approach by an example.

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