فهرست مطالب
Journal of Hyperstructures
Volume:8 Issue: 1, Winter and Spring 2019
- تاریخ انتشار: 1398/05/01
- تعداد عناوین: 7
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Pages 1-15Soft 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.Keywords: Fuzzy set, Soft set, Vague Set, Vague Soft Set, Vague Soft Near-rings, VagueSoft Ideals, Near-rings
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Pages 16-32In 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.Keywords: n-fold Boolean ideal, n-bounded MV -algebra, fuzzy n-fold obstinate
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Pages 33-47In 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.Keywords: Reproducing kernel Hilbert space method, Fredholm integro-di erential equa-tions, variable coecients
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Pages 48-57In 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.Keywords: Neutrosophic set, single valued neutrosophic set, neutrosophic matrix
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Pages 58-68In 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.Keywords: Hv-group, metabelian group, metabelian Hv-group, weak polygroup
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Pages 69-80In 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.Keywords: bi-polar fuzzy set, soft set, fuzzy soft set, generalized bi-polar fuzzy soft ideal, generalized bi-polar fuzzy soft interior ideal
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Pages 81-93In 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.Keywords: Multilattice, residuated multilattice, lter, complemented elements, ideal derivation