6533b86efe1ef96bd12cb56d
RESEARCH PRODUCT
Involving fuzzy orders for multi-objective linear programming
Olga Grigorenkosubject
Mathematical optimizationFuzzy classificationMathematics::General MathematicsFuzzy setmulti-objective linear programmingfuzzy order relationType-2 fuzzy sets and systemsDefuzzificationModeling and SimulationFuzzy mathematicsQA1-939aggregation of fuzzy relationsFuzzy numberFuzzy set operationsMathematicsAnalysisMembership functionMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-06-01 | Mathematical Modelling and Analysis |