Young Bae Jun

The Combination of Soft Sets and -Structures with Applications

Using the notions of soft sets and -structures, -soft set theory is introduced. We apply it to both a decision making problem and a BCK/BCI algebra.

Int-Soft (Generalized) Bi-Ideals of Semigroups

The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduced. Relations between int-soft generalized bi-ideals and int-soft semigroups are discussed, and characterizations of (int-soft) generalized bi-ideals and int-soft bi-ideals are considered. Given a soft set (α;S) over U, int-soft (generalized) bi-ideals generated by (α;S) are established.

Hesitant fuzzy semigroups with a frontier

The notion of a hesitant fuzzy semigroup with a frontier is introduced, and several properties are investigated. Characterizations of a hesitant fuzzy semigroup with a frontier are considered, and a condition for a special set to be a subsemigroup is provided. The hesitant union and hesitant intersection of two hesitant fuzzy semigroups with a frontier are dealt with, and the hesitant fuzzy pre-image and hesitant fuzzy image of a hesitant fuzzy semigroup with a frontier under the homomorphism are discussed.

Generalizations of -Fuzzy Filters in -Algebras

Generalizations of a part of the paper (Ma et al., 2009) are considered. As a generalization of an -fuzzy filter, the notion of an -fuzzy filter is introduced, and its characterizations are provided. The implication-based fuzzy filters of an -algebra are discussed.

SOFT IDEALS IN SOFT BCC-ALGEBRAS

Soft set theory by Molodtsov is applied to ideals in BCC-algebras. The notion of soft BCC-ideals of soft BCC-algebras and idealistic soft BCC-algebras are introduced, and several examples are provided. Relations between a fuzzy BCC-ideal and an idealistic soft BCC-algebra are given, and the characterization of idealistic soft BCC-algebras is established.