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Zbl 0631.03040
Atanassov, Krassimir T.
(Atanasov, K.T.)
Intuitionistic fuzzy sets.
(English)
[J] Fuzzy Sets Syst. 20, 87-96 (1986). ISSN 0165-0114

By an intuitionistic fuzzy set (IFS) the author understands a pair of generalized characteristic functions and hence a generalization of a fuzzy set. These two functions for each point of the universe of discourse describe separately its degrees of membership and of nonmembership with respect to the IFS they characterize. These two degrees not necessarily add up to one. The motivation for introducing IFSs is explained with an example, set algebraic operations are introduced and some of their elementary properties given.
[S.Gottwald]
MSC 2000:
*03E72 Fuzzy sets (logic)

Keywords: degrees of membership; degrees of nonmembership; intuitionistic fuzzy set

Cited in: Zbl 1260.62045 Zbl 1237.20061 Zbl 1237.20060 Zbl 1221.20051 Zbl 1203.05130 Zbl 1168.15011 Zbl 1161.26303 Zbl 1154.03317 Zbl 1163.20322 Zbl 1158.68500 Zbl 1145.20043 Zbl 1141.68591 Zbl 1128.03312 Zbl 1142.54362 Zbl 1112.54014 Zbl 1079.03043 Zbl 1060.54010 Zbl 1060.22017 Zbl 1020.54003 Zbl 1013.03067 Zbl 1008.03036 Zbl 0994.03048 Zbl 1004.03042 Zbl 1004.03044 Zbl 0996.03037 Zbl 0987.03048 Zbl 0986.20070 Zbl 0982.54008 Zbl 0977.03029 Zbl 0971.03056 Zbl 0961.03052 Zbl 0961.03050 Zbl 0961.03051 Zbl 0961.03049 Zbl 0951.03047 Zbl 0944.03051 Zbl 0944.03050 Zbl 0939.03058 Zbl 0924.04001 Zbl 0924.04002 Zbl 0874.04004 Zbl 0872.94061 Zbl 0871.04006 Zbl 0839.04006 Zbl 0834.04008 Zbl 0834.04007 Zbl 0832.20088 Zbl 0813.03017 Zbl 0791.20092 Zbl 0761.04005 Zbl 0685.03037 Zbl 0674.03018 Zbl 0674.03017 Zbl 0651.03040

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