The simplified neutrosophic set (SNS) is a useful generalization of the fuzzy set that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function and falsity membership function. In this paper, we develop a series of power aggregation operators called simplified neutrosophic number power weighted averaging (SNNPWA) ...

Bipolar neutrosophic set is an important extension of bipolar fuzzy set. This set is a 15 hybridization of bipolar fuzzy set and neutrosophic set. Every element of a bipolar neutrosophic 16 set consists of three independent positive membership functions and three independent negative 17 membership functions. In this paper, we develop cross entropy measures of bipolar neutrosophic 18 sets and pr...

In this paper, we built bitopological space on the concept of neutrosophic soft set, defined basic topological concepts spaces which are N3-(bi)*-open N3-(bi)*-closed (bi)*-neutrosophic interior, (bi)* closure, boundary, exterior and introduced their properties. addition, investigated relations these with counterparts in many examples.

Cosine and cotangent similarity measurements are critical in applications for determining degrees of difference between objects. In the literature, numerous measures various extensions fuzzy set, soft Intuitionistic Fuzzy Sets (IFSs), Pythagorean (PFSs) HyperSoft (HSSs) have been explored. Neutrosophic (NHSSs), on other hand, has fewer cosine measures. this paper, we propose trigonometric NHSSs...

our aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand fuzzy soft ideals of near-subtraction semigroups. we discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples.

Bipolar neutrosophic set theory and rough neutrosophic set theory are emerging as powerful tool for dealing with uncertainty, and indeterminate, incomlete, and inprecise information. In the present study we develop a hybrid structure called “rough bipoar neutrsophic set”. In the study, we define rough bipoar neutrsophic set and define union, complement, intersection and containment of rough bip...

In this paper we introduce the concept of fuzzy neutrosophic product spaces and investigate some of their properties. Mathematics Subject Classification: 03B99, 03E99, 03F55, 54A40