Characterizations of fuzzy subalgebras in BCK=BCI-algebras

Abstract

The concepts of (ε ε, qδ 0)-fuzzy subalgebras and ε, V qδ 0 -level sets are introduced, and related properties are investigated. Relations be- tween an (ε ε)-fuzzy subalgebra and an (ε ε V qδ 0 )-fuzzy subalgebra are discussed, and characterizations of (ε ε V qδ 0 )-fuzzy subalgebras are discussed. Homomorphic image and pre-image of an (ε ε V qδ 0)-fuzzy subalgebra are considered. © 2015 G. Muhiuddin, Seok Zun Song, Hee Sik Kim, Young Bae Jun.