Typicality and fuzzy sets

Abraham Kandel; Ming Ma; Menahem Friedman

doi:10.1117/12.243246

14 June 1996 Typicality and fuzzy sets

Abraham Kandel, Ming Ma, Menahem Friedman

Proceedings Volume 2761, Applications of Fuzzy Logic Technology III; (1996) https://doi.org/10.1117/12.243246
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

Given an arbitrary fuzzy set, there are various linguistic expressions which represent different approaches to the concept of typicality and may often be transformed to suitable numerals -- typical values. These quantities can then be replaced (not uniquely) by integral forms. A more natural approach for obtaining typical values is to apply an inverse procedure: Based on the linguistic expression and the fuzzy set, a biased measure is designed such that associated integrals over the fuzzy set with respect to this measure, yields the typical value and the balance point of the set.

Citation Download Citation

Abraham Kandel, Ming Ma, and Menahem Friedman "Typicality and fuzzy sets", Proc. SPIE 2761, Applications of Fuzzy Logic Technology III, (14 June 1996); https://doi.org/10.1117/12.243246

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