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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems
IEEE Transactions on Fuzzy Systems, 2021Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
exaly
Membership Functions, Fuzzification and Defuzzification
2000Fuzzy membership functions represent similarities of objects to ambiguous properties. All the information represented by a fuzzy set is contained within the membership function. This chapter summaries some methods to develop membership functions, briefly discusses the process of fuzzification (making crisp sets into fuzzy sets), and illustrates a few ...
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Replacing trapezoidal membership functions by triangular membership functions for ⊗-transitivity
18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397), 2003openaire +1 more source
Membership Functions and Their Assessment
1978Membership functions and their assessment present a problem of paramount importance. Its neglect would further delay any real applications of the fuzzy set theory. Membership functions are not ‘given’ and they can not be arbitrarily assumed. A systematic assessment procedure, designed to externalize decision maker’s perception of fuzziness is ...
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