Atanassov, Krassimir T. Intuitionistic fuzzy sets. (English) Zbl 0631.03040 Fuzzy Sets Syst. 20, 87-96 (1986). 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. Reviewer: Siegfried J. Gottwald (Leipzig) Cited in 72 ReviewsCited in 1176 Documents MSC: 03E72 Theory of fuzzy sets, etc. Keywords:degrees of membership; degrees of nonmembership; intuitionistic fuzzy set PDF BibTeX XML Cite \textit{K. T. Atanassov}, Fuzzy Sets Syst. 20, 87--96 (1986; Zbl 0631.03040) Full Text: DOI References: [1] Atanassov, K., Intuitionistic fuzzy sets, () · Zbl 0597.03033 [2] Atanassov, K.; Stoeva, S., Intuitionistic fuzzy sets, (), 23-26 · Zbl 0597.03033 [3] Atanassov, K.; Stoeva, S., Intuitionstic L-fuzzy sets, (), 539-540 [4] Atanassov, K., Intuitionistic fuzzy relations, (), 56-57 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.