In this article, concave type-2 fuzzy sets are investigated. The calculation of union and intersection of concave type-2 fuzzy sets using the min t-norm and the max t-conorm are explored and it is proved that the set of concave type-2 fuzzy sets is closed under those operations. It is also shown that the set of LR-normal concave type-2 fuzzy sets forms a commutative semiring under join and meet.
Concave type-2 fuzzy sets : properties and operations / H. Tahayori, A.G.B. Tettamanzi, G. Degli Antoni, A. Visconti, M. Moharrer. - In: SOFT COMPUTING. - ISSN 1432-7643. - 14:7(2010 May), pp. 749-756.
Concave type-2 fuzzy sets : properties and operations
H. TahayoriPrimo
;A.G.B. TettamanziSecondo
;G. Degli Antoni;A. ViscontiPenultimo
;
2010
Abstract
In this article, concave type-2 fuzzy sets are investigated. The calculation of union and intersection of concave type-2 fuzzy sets using the min t-norm and the max t-conorm are explored and it is proved that the set of concave type-2 fuzzy sets is closed under those operations. It is also shown that the set of LR-normal concave type-2 fuzzy sets forms a commutative semiring under join and meet.
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