Ranking and defuzzification methods based on area compensation. (English) Zbl 0886.94025

Summary: The authors present some interesting properties related to the area compensation procedure to compare fuzzy numbers. It has been proved that this method produces more than a fuzzy interval order: it induces a ranking of fuzzy numbers. Further results are given about the transitivity property and about computational aspects. Extensions to non-normal fuzzy numbers and fuzzy quantities are also proposed.


94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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