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Karnik, Nilesh N.; Mendel, Jerry M.

Operations on type-2 fuzzy sets. (English) Zbl 1010.03047

Fuzzy Sets Syst. 122, No. 2, 327-348 (2001).
Summary: We discuss set operations on type-2 fuzzy sets (including join and meet under minimum/product t-norm), algebraic operations, properties of membership grades of type-2 sets, and type-2 relations and their compositions. All this is needed to implement a type-2 fuzzy logic system (FLS).

Cited in 75 Documents

MSC:

03E72 Theory of fuzzy sets, etc.
03B52 Fuzzy logic; logic of vagueness

Keywords:

fuzzy relations; fuzzy numbers; set operations; type-2 fuzzy sets; algebraic operations; membership grades; type-2 fuzzy logic system
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\textit{N. N. Karnik} and \textit{J. M. Mendel}, Fuzzy Sets Syst. 122, No. 2, 327--348 (2001; Zbl 1010.03047)
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