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http://dx.doi.org/10.5391/JKIIS.2003.13.2.231

Notes on the compatibility between defuzzification and t-norm based fuzzy arithmetic operations  

Hong, Dug-Hun (School of Mechanical and Automotive Engineering Catholic University of Daegu)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.13, no.2, 2003 , pp. 231-236 More about this Journal
Abstract
Recently, Oussalah 〔Fuzzy Sets and Systems 128(2002) 247-260〕 investigated some theoretical results about some invariance properties concerning the relationships between the defuzzification outcomes and the arithmetic of fuzzy numbers. But, in this note we introduce some explicit calculations of the resulting fuzzy set or possibility distribution when the matter is the determination of the defuzzified value pertaining to the result of some manipulation of fuzzy quantities under t-norm based fuzzy arithmetic operations.
Keywords
T-Extension principle; Fuzzy numbers; Defuzzification;
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