An inquiry into the theory of defuzzification (Q2751109)

The authors address the problem of defuzzification, present merits and demerits of various defuzzification strategies that are used in theory and practice, and in design and implementation of applications involving fuzzy theory, fuzzy control, and fuzzy rule based, and fuzzy inference-based systems. Defuzzification is an important operation in the theory of fuzzy sets. It transforms fuzzy set information into numeric data information. This operation along with the operation of fuzzification are critical to the design of fuzzy systems as both of these operations provide connections between the fuzzy set domain and the real valued scalar domain. In the new defuzzification scheme proposed in this paper, the output fuzzy set is compared with the fuzzy sets in the universe of discourse. A brief survey of main defuzzification schemes that have been proposed during the last decade is also presented.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00017].