"The Problem of Determining Membership Values in Fuzzy Sets in Real World Situations"
Operations Research and Artificial Intelligence: The Interaction of Problem Solving Strategies,
(D.E. Brown and C.C. White III, Editors), Kluwer Academic Publishers, pp. 197-214.
by E. Triantaphyllou, P.M. Pardalos, and S.H. Mann
Abstract:
One of the fundamental concepts in fuzzy set theory is the one of membership values.
An appealing procedure for deriving information about membership values is to use a
matrix of pair wise comparisons [18], [19], [20]. A number of OR approaches that are
based on eigenvalue theory and mathematical programming have been proposed to manipulate
the previous matrices and estimate membership values. The findings of this paper reveal
that although some methods appear to be more effective than others, still their performance
is dramatically poor.