Journal
FUZZY SETS AND SYSTEMS
Volume 117, Issue 1, Pages 157-160Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0165-0114(98)00333-9
Keywords
multiple criteria evaluation; fuzzy weighted average; extension principle; linear transformation
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To improve the method of Dong and Wong (Fuzzy Sets and Systems 21 (1987) 183-199) for obtaining the fuzzy weighted average, a steepest descent/ascent method was proposed by Lieu and Wang (Fuzzy Sets and Systems 49 (1992) 307-315). In this paper, we propose to replace the steepest descent/ascent method by linear programming, which is a much more powerful approach for large problems. The reduction of the original nonlinear programming problem into a linear one is achieved by the use of the Charnes and Cooper's linear transformation method. The example used by Dong and Wong is again used to illustrate the approach. (C) 2001 Elsevier Science B.V. All rights reserved.
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