Molodtsov (1999) initiated the concept of soft sets in [1]. Maji et al. (2003) defined some operations on soft sets in [22]. Aktaş and Çağman (2007) generalized soft sets by defining the concept of soft groups in [16]. After them, Sun et al. (2008) gave soft modules in [21]. In this paper, the concept of an intuitionistic fuzzy soft module is introduced and some operations on intuitionistic fuz...

In this paper, we first introduced the concept of possibility single valued neutrosophic soft expert sets (PSVNSESs for short) which is a generalization of single valued neutrosophic soft expert sets (SVNSESs for short), possibility fuzzy soft expert sets ( PFSESs) and possibility intuitionistic fuzzy soft expert sets (PIFSESs). We also define its basic operations, namely complement, union, int...

The concepts of (internal, external) cubic soft sets, P-cubic (resp. R-cubic) soft subsets, R-union (resp. R-intersection, P-union, Pintersection) of cubic soft sets, and the complement of a cubic soft set are introduced, and several related properties are investigated. We apply the notion of cubic soft sets to BCK/BCI-algebras, and introduce the notion of cubic soft BCK/BCI-algebras. A charact...

Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. The aim of this paper is to apply the concept of fuzzy soft sets to n-ary hypergroup theory. The concepts of (∈(γ), ∈(γ) ∨ q(δ))-fuzzy soft (invertible) n-ary subhypergroups over a commutative n-ary hypergroup are intro...

Fatimah et al. introduced the notion of N-soft set that is extension soft by Molodtsov. Shabir studied bipolarity data within defining bipolar set. During this paper, we have a tendency to encourage and introduce concept N-bipolar as an Some helpful algebraical definitions properties are presented. Our illustrated with real life examples, which uncertainties in knowledge may be properly capture...

Molodtsov initiated the concept of soft sets in [4]. Maji et al. defined some operations on soft sets in [10]. Aktaş et al. generalized soft sets by defining the concept of soft groups in [7]. After then, Qiu-Mei Sun et al. gave soft modules in [12]. In this paper, methods of homology algebra are applied to the category of soft modules. For this reason, chain complexes of soft modules and their...

In the present paper, we study and investigate the properties of fuzzy soft α-connected sets, fuzzy soft α-separated sets and fuzzy soft α-s-connected sets and establish several interesting properties supported by examples. Moreover, we show that, a fuzzy soft α-disconnectedness is not an hereditary property in general. Finally, we show that the fuzzy α-irresolute surjective soft image of fuzzy...

In this paper, we deal with soft lattice implication algebras based on fuzzy sets. Using the concepts of fuzzy (implicative) filters, (∈,∈∨q)fuzzy (implicative) filters and (∈,∈∨q)-fuzzy (implicative) filters, some characterizations for ∈-soft sets and q-soft sets to be (implicative) filteristic soft lattice implication algebras are established.