On stability of proper efficient solutions in multiobjective fractional programming problems under fuzziness

Authors:
Omar M. Saad
Affiliations:
Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, P.O. Box 11795, Cairo, Egypt
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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Abstract

In this paper a solution algorithm to fuzzy multiobjective fractional programming problems is suggested. These problems involve fuzzy parameters usually in the right-hand side of the constraints. In order to defuzzify the problem the concept of @a-level set of a fuzzy number is given. For obtaining proper efficient solutions, Geoffrion results are extended to fuzzy multiobjective fractional programming problems. In addition, some stability notions are defined and characterized for the problem of concern. Illustrative numerical examples are presented to clarify the theory and the solution algorithm.