Fuzzy Translations of Fuzzy Associative Ideals in BCI-algebras
M. A. Hashemi *
Department of Mathematics, Payame Noor University, P.O.Box: 19395-3697, Tehran, Iran.
*Author to whom correspondence should be addressed.
Abstract
The aim of this paper is to introduce the concepts of fuzzy translation to fuzzy associative ideals in BCK/BCI-algebras. Also, the notion of fuzzy extensions and fuzzy multiplications of fuzzy associative ideals with several related properties are investigated. The relationships between fuzzy translations, fuzzy extensions and fuzzy multiplications of fuzzy ideals are investigated.
Keywords: Fuzzy ideal, fuzzy associative ideal, fuzzy translation, fuzzy extension, fuzzy multiplication.