In recent years, soft sets have become popular in various fields. For this reason, many studies been carried out the field of algebra. study, intersection k-ideals are defined with help a semiring, and some algebraic structures examined. Moreover, quotient rings by k-semiring. Isomorphism theorems examined rings. Finally, properties investigated defining maximal k-ideals.

We introduce the concepts soft β-interior and soft β-closure of a soft set in soft topological spaces. We also study soft β-continuous functions and discuss their relations with soft continuous and other weaker forms of soft continuous functions.

In the present paper, by considering the notion of MV-modules which is the structure that naturally correspond to lu-modules over lu-rings, we prove some results on prime A-ideals and state some conditions to obtain a prime A-ideal in MV-modules. Also, we state some conditions that an A-ideal is not prime and investigate conditions that $Ksubseteq bigcup _{i=1}^{n}K_{i}$ implies $Ksubseteq K_{j...

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...

The central objective of the proposed work in this research is to introduce innovative concept an m-polar fuzzy set (m-PFS) semigroups, that is, expansion bipolar (BFS). Our main focus study generalization some important results BFSs m-PFSs. This paper provides related subsemigroups (m-PFSSs), ideals (m-PFIs), generalized bi-ideals (m-PFGBIs), (m-PFBIs), quasi-ideals (m-PFQIs) and interior (m-P...

We consider the notion of intuitionistic fuzzy n-fold positive implicative ideals in BCI-algebras. We analyse many properties of intuitionistic fuzzy n-fold positive implicative ideals. We also establish extension properties for intuitionistic fuzzy n-fold positive implicative ideals in BCI-algebras. This work generalizes the corresponding results in the crisp case. 2000 Mathematics Subject cla...

I N SOCIAL LEGISLATION i t is impossible to cast up accounts i n the exact sense t h a t we do when the mat ter is ent i re ly one of dollars and cents, w i t h out human values to be taken in to consideration. Nevertheless, i t seems to me tha t i n the field of social legisla t i on i t is wel l for us t o pause occasionally to see how far we have come and what we might do to move a l i t t l...

In this paper, we prove uniqueness in determining a sound-soft ball or polyhedral scatterer in the inverse acoustic scattering problem with a single incident point source wave in RN (N = 2, 3). Our proofs rely on the reflection principle for the Helmholtz equation with respect to a Dirichlet hyperplane or sphere, which is essentially a ’point-to-point’ extension formula. The method has been ada...