FUZZIFICATIONS OF-CLOSED SETS IN LATTICE IMPLICATION ALGEBRAS

Eun Hwan Roh; Kyung Ho Kim; Young Bae Jun

Eun Hwan Roh
Kyung Ho Kim
Young Bae Jun

Keywords: lattice implication algebra, ⊕-homomorphism, (fuzzy) ⊕-closed set, fuzzy topological⊕-closed set

Abstract

The fuzziﬁcation of ⊕-closed set is considered, and its basic properties are investigated. A relation between fuzzy ⊕-closed sets and fuzzy subalgebras/ﬁlters is given. Characterizations of fuzzy ⊕-closed set are established. Using a collection of⊕-closed set with additional conditions, a fuzzy ⊕-closed set is stated. The theory of fuzzy topological ⊕-closed sets is discussed.