Anteriority Indicator For Managing Fuzzy Dates Based on Maximizing And Minimizing Sets

Abstract

Many applications of fuzzy set theory require defuzzification and ranking approaches based on alpha level sets because exact
membership functions may not always be available. In this article, we have assumed that exact membership functions can be
approximated using piecewise linear functions based on alpha level sets and derived two analytical formulas to meet such a
requirement. The two formulas are, respectively, extensions of the most widely used centroid defuzzification approach and the
maximizing set and minimizing set method. The validity of the two formulas has been examined and verified through a test example
and their computational processes have also been illustrated in details.