فهرست مطالب s.z. song

The concepts of Dokdo sub-hoops and Dokdo filters are introduced‎, ‎and their properties are investigated.‎‎ The relationship between Dokdo sub-hoops and Dokdo filters is discussed‎, ‎and‎‎ characterizations of Dokdo sub-hoops and Dokdo filters are established.‎

In BCK-algebras, the notion of Lukasiewicz fuzzy positive implicative ideal is introduced, and several properties are investigated. The relationship between Lukasiewicz fuzzy ideal and Lukasiewicz fuzzy positive implicative ideal is discussed, and characterizations of a Lukasiewicz fuzzy positive implicative ideal are considered. Conditions for a Lukasiewicz fuzzy ideal to be a Lukasiewicz fuzzy positive implicative ideal are provided, and conditions for the ∈-set, q-set and O-set to be positive implicative ideals are explored.

Molodtsov proposed soft set theory to address uncertainty in a parameter manner, and Atanassov introduced intuitionistic fuzzy set which is very useful in providing a flexible model to elaborate uncertainty and vagueness involved in decision making. Using intuitive fuzzy set and soft set, Jun et al. introduced a new notion, ``soju structure'', as a kind of hybrid structure. The concept of implicative soju ideal in BCK-algebra will be introduced and several properties will be investigated in this article. We will discuss the relationship between soju subalgebra, soju ideal, positive implicative soju ideal, commutative soju ideal and implicative soju ideal. Also, characterizations of implicative soju ideal will be established.