Artificial intelligence

Scientific journal

ISSN 2710-1673

ONLINE: ISSN 2710-1681

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Operations of Intersection and Union of the Fuzzy Set of Fuzzy Sets

Mashchenko S.1
1 Taras Shevchenko National University of Kiyv

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UDC: 519.8
Publication Language: Russian
Stuc. intelekt. 2012; 17(2):111-122

Abstract: The operations of intersection and union of fuzzy set of fuzzy sets are considered in the article. It is shown that type-2 fuzzy sets are the results of these operations. Structural presentation of their belonging functions is developed. Intercommunication between operations of union and intersection is set. The cases of union and intersection of fuzzy set of clear sets are considered. The belonging functions of resulting type-2 fuzzy sets are built, their underlying structure is explored.

Keywords: fuzzy set, type-2 fuzzy set, operations above sets

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