Involving fuzzy orders for multi-objective linear programming


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.

Keyword : multi-objective linear programming, fuzzy order relation, aggregation of fuzzy relations

How to Cite
Grigorenko, O. (2012). Involving fuzzy orders for multi-objective linear programming. Mathematical Modelling and Analysis, 17(3), 366-382.
Published in Issue
Jun 1, 2012
Abstract Views
PDF Downloads
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.