Minimization approach to membership evaluation in fuzzy sets and error analysis
Evaluation of the degree of membership in fuzzy sets is a fundamental topic in fuzzy set theory. \textit{T. L. Saaty} [J. Math. Psychol. 15, 234- 281 (1977; Zbl 0372.62084)] proposes a method for solving this problem that has been widely accepted. In this paper, we examine the problem from an error minimization point of view that attempts to reflect the real intentions of the decision maker. When this approach is used, the findings reveal that fuzzy sets of different cardinalities have dramatically different requirements in the consistency level of the input data as far as the error minimization criterion is concerned.
scientific article; zbMATH DE number 4119886