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  5. The interval type 2 fuzzy sets. Terminology, representations, operations

The interval type 2 fuzzy sets. Terminology, representations, operations

S.A. Olizarenko, V.A. Kapranov, A.V. Perepelitca
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This paper represents the terminology and representations of the interval type-2 fuzzy sets as a special case of the general type 2 fuzzy sets. There are shown the basic operations over interval type-2 fuzzy sets and their conformity to operations over type 1 fuzzy sets. Considered the terminology, representations of interval type-2 fuzzy sets and operations over these sets are a basis for research and designing of fuzzy logic systems on the basis of interval type 2 fuzzy sets.
Keywords: the interval type-2 fuzzy set, footprint of uncertainty, operation of union, operation of intersection, operation of complement