T-fuzzy ideals inBCI-algebras

T-fuzzy ideals in BCI-algebras

The notion of BCI-algebras was introduced by Iséki [3] which is a generalization of BCKalgebras [2]. This notion is originated from two different ways: one of the motivations is based on set theory, another motivation is from classical and nonclassical propositional calculi. Zadeh [8] introduced the notion of fuzzy sets. Many researchers have applied this concept to mathematical branches, such ...

-intuitionistic (fuzzy ideals, fuzzy soft ideals) of subtraction algebras

The intent of this article is to study the concept of an   , k q  -intuitionistic fuzzy ideal and   , k q  -intuitionistic fuzzy soft ideal of subtraction algebras and to introduce some related properties. 2010 AMS Classification: 06F35, 03G25, 08A72.

T -fuzzy Multiply Positive Implicative Bcc-ideals of Bcc-algebras

The concept of fuzzy multiply positive BCC-ideals of BCC-algebras is introduced, and then some related results are obtained. Moreover, we introduce the concept of T -fuzzy multiply positive implicative BCC-ideals of BCC-algebras and investigate T -product of T -fuzzy multiply positive implicative BCC-ideals of BCC-algebras, examining its properties. Using a t-norm T , the direct product and T -...

Intuitionistic T-S Fuzzy Subalgebras and Ideals in BCI-algebras

(Fuzzy) Ideals of BN-Algebras

The notions of an ideal and a fuzzy ideal in BN-algebras are introduced. The properties and characterizations of them are investigated. The concepts of normal ideals and normal congruences of a BN-algebra are also studied, the properties of them are displayed, and a one-to-one correspondence between them is presented. Conditions for a fuzzy set to be a fuzzy ideal are given. The relationships b...