The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided. The concepts of union-soft products and union-soft semiprime soft sets are introduced, and their properties related to union-soft l-ideals and union-so...

The main purpose of our paper, is to investigate more properties of the soft β-separation axioms given in [8]. We show that, the properties of soft β-Ti-spaces (i = 1, 2) are soft topological properties under the bijection and irresolute open soft mapping. Also, the property of being soft βregular and soft β-normal are soft topological properties under bijection, irresolute soft and irresolute ...

In the present paper, we introduce soft generalized closed sets in soft topological spaces which are defined over an initial universe with a fixed set of parameters. A sufficient condition for a soft g-closed set to be a soft closed is also presented. Moreover, the union and intersection of two soft g-closed sets are discussed. Finally, the new soft separation axiom, namely soft 1 2 T space is ...

As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (c...

Soft set theory provides a parameterized treatment of uncertainty, which is closely related to soft computing models like fuzzy sets and rough sets. Based on soft sets and logical formulas over them, this study aims to present a new approach for revealing the causal relationship between values of attributes in an information system. The main procedure of our new method is as follows: First, we ...