Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506568 | Applied Mathematics and Computation | 2005 | 13 Pages |
Abstract
In this paper we investigate the efficient solutions and stability of multiobjective transportation problem (FMTP) with fuzzy coefficient cËijrâcËr and/or fuzzy supply quantities aËi and/or fuzzy demands quantities bâ¼j. The concept of α-fuzzy efficient was introduced in which the ordinary efficient solution is extended based on the α-level of fuzzy numbers. A necessary and sufficient condition for such a solution is established. The basic notions as the solvability set and the stability set of the first kind are defined and characterized. The parametric analysis is used to characterize the parametric optimal solutions to the auxiliary problems. An algorithm for the determination of the stability set is proposed. Finally, a numerical example is given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
E.E. Ammar, E.A. Youness,