Abstract
This paper suggests a modification on the fuzzy weighted average (FWA) method developed by Dong and Wong (1987). A steepest descend/ascend method is proposed to facilitate steps (3) and (4) of the FWA to find the minimum/maximum of f(x 1 ,x 2 ,...,x n ,w 1 ,w 2 ,...,w n ) = Σ i=1 n w i x i /Σ i=1 n w i . An example used by Dong and Wong is again employed to illustrate the new method. The same results are obtained but the new method requires much less evaluations and computations. The advantages and disadvantages of the two algorithms are discussed. Also, several relevant theorems are stated and discussed in this paper, and the proofs of these theorems are listed in the Appendix. © 1992.