Symmetric difference operators for fuzzy sets

N. Agell; Roser Rovira

doi:10.1016/0165-0114(89)90174-7

Symmetric difference operators for fuzzy sets

N. Agell, Roser Rovira

Research output: Indexed journal article › Article › peer-review

6 Citations (Scopus)

Abstract

Generalizing the classic definition of the symmetric difference operator in the lattice (P(X), min, max, 1-j) we obtain four equivalent representations of this operator. Nevertheless, if we consider another De Morgan triplet in P(X) extending the four representations we obtain four different operators. The purpose of this paper is to compare and analyze these four operators describing their properties and studying the cases in which they are equivalent.

Original language	English
Pages (from-to)	5-10
Number of pages	6
Journal	Fuzzy Sets and Systems
Volume	30
Issue number	1
DOIs	https://doi.org/10.1016/0165-0114(89)90174-7
Publication status	Published - 20 Mar 1989
Externally published	Yes

Keywords

De Morgan triplets
symmetric difference

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10.1016/0165-0114(89)90174-7

Cite this

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AB - Generalizing the classic definition of the symmetric difference operator in the lattice (P(X), min, max, 1-j) we obtain four equivalent representations of this operator. Nevertheless, if we consider another De Morgan triplet in P(X) extending the four representations we obtain four different operators. The purpose of this paper is to compare and analyze these four operators describing their properties and studying the cases in which they are equivalent.

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KW - symmetric difference

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Symmetric difference operators for fuzzy sets

Abstract

Keywords

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