Molodstov introduced soft sets to deal with uncertainties and not clear objects. Researchers developed the relationship between soft sets and information systems. Fuzzification of the notions of soft sets and soft topology have been discussed in the literature. In this paper, we define and establish the topological structures of fuzzy soft semi-open sets and fuzzy soft semi-closed sets. We intr...

The bipolar fuzzy (BF) set is an extension of the used to solve uncertainty having two poles, positive and negative. rough a useful mathematical technique handle vagueness impreciseness. major objective this paper analyze notion approximation BF ideals semirings by combining theories sets. Then, idea subsemirings (ideals, bi-ideals interior ideals) developed. In addition, are characterized uppe...

The notion of ∈-soft set and q-soft set based on a fuzzy set is introduced, and characterizations for an ∈-soft set and a q-soft set to be (idealistic) soft BCK/BCIalgebras are provided. Using the notion of (∈,∈∨ q)-fuzzy BCK/BCI subalgebras/ideals, characterizations for an ∈-soft set and a q-soft set to be (idealistic) soft BCK/BCI-algebras are established. AMS subject classifications: 06D72, ...

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.