Journal of Hyperstructures
Volume:8 Issue: 1, Winter and Spring 2019

Soft set theory, proposed by Molodstov has been re- garded as an eective mathematical tool to deal with uncertainties. Vague set is a set of objects, each of which has a grade of member- ship whose value is a continuous subinterval of [0,1]. Such a set is characterized by a truth membership function and a false member- ship function. In this paper we introduce and study the concept of vague soft near-rings, vague soft ideals of near-rings. Also, we derive some properties of vague soft near-rings and vague soft ideals of near-rings.

In this paper, we introduce the notion of n-fold Boolean ideals of an MV -algebra and consider the quotient algebras induced by n-fold Boolean ideals. Also we prove that I is a n-fold Boolean ideal of an MV -algebra if and only if A=I is a n+1-bounded MV - algebra if and only if A=I is a subdirect product of algebras Lk, with 2  k  n. Finally, we introduce the notion of fuzzy n-fold obstinate ideals in MV -algebras. We give some characterizations of fuzzy n-fold obstinate ideals.

In this paper, we develop a numerical approach based on the reproducing kernel Hilbert (RKHS) method on non-uniform girds for solving the linear Fredholm integro-dierential equations with variable coecients. Furthermore, convergence of the pro- posed method is presented providing the theoretical basis of this method. Finally, we test our method on one example to demon- strate the eciency and applicability of the proposed method.

In the present paper, we dene a new kind of matrix called by a neutrosophic matrix, whose entries are all single-valued neutrosophic sets. So, we aim to be introduce a convenient tool for the problems, have uncertain inputs. We rst give the denition of a neutrosophic matrix with its basic operations. Then we investigate the properties of the given operations and also prove that the family of all neutrosophic matrices is a vector space over a classical eld.

In this paper rst we introduce and analyze a new def- inition of left and right commutators in Hv-group. Secondly, using commutators we introduce a new strongly equivalence relation  on an Hv-group H such that the quotient H=, the set of all equiva- lence classes, is a metabelian group. Then we introduce metabelian Hv-groups and investigate some of their properties. Finally, we investigate some properties of commutators for the class of weak polygroups.

In this paper, we introduce the notion of a generalized bi-polar fuzzy set whose membership degree range is [-0.5,0.5], as a generalization of a fuzzy set and a bi-polar fuzzy set, the notion of generalized bi-polar fuzzy ideal, generalized bi-polar fuzzy interior ideal of semiring, generalized bi-polar fuzzy soft ideal and general- ized bi-polar fuzzy soft interior ideal over semiring and study some of their algebraic properties and the relations between them.

In this paper, we introduce as a generalization of the concept of derivation, the notion of f-derivation on residuated multilattices and investigate several of its properties. Then, we study good ideal f-derivations and make the connection with the complemented elements. Moreover, special sub-classes like the set of f-xed points, the Kernel are found to have nice substructures.