Fuzzy weighted average: A max-min paired elimination method

Abstract

By the use of max-min paired elimination, an efficient method for obtaining the fuzzy weighted average (FWA) was developed. This approach is much more efficient than either the approach developed by Dong and Wong [1] or the improved approach developed by Liou and Wang [2]. The computational requirements for the method of Dong and Wong are 22n and the largest computational requirements for the improved method of Liou and Wang are 2 + n(n + 1). The computational requirements for the proposed approach are proportional to the problem size n and the total computational requirements are 2(n - 1). The same example used by Dong and Wong is used to illustrate the approach. In addition, a more complicated problem is also solved.