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Intuitionistic fuzzy sets. (English) Zbl 0631.03040

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.

MSC:

03E72 Theory of fuzzy sets, etc.
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[1] Atanassov, K., Intuitionistic fuzzy sets, (Sgurev, V., VII ITKR’s Session. VII ITKR’s Session, Sofia, June 1983 (1984), Central Sci. and Techn. Library, Bulg. Academy of Sciences: Central Sci. and Techn. Library, Bulg. Academy of Sciences Amsterdam) · Zbl 0597.03033
[2] Atanassov, K.; Stoeva, S., Intuitionistic fuzzy sets, (Polish Symp. on Interval & Fuzzy Mathematics. Polish Symp. on Interval & Fuzzy Mathematics, Poznan (Aug. 1983)), 23-26 · Zbl 0597.03033
[3] Atanassov, K.; Stoeva, S., Intuitionstic L-fuzzy sets, (Trappl, R., Cybernetics and Systems Research 2 (1984), Elsevier Sci. Publ.), 539-540 · Zbl 0547.03030
[4] Atanassov, K., Intuitionistic fuzzy relations, (Antonov, L., III International School “Automation and Scientific Instrumentation”. III International School “Automation and Scientific Instrumentation”, Varna (Oct. 1984)), 56-57
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