Soft Hypervector Space and Fuzzy Soft Hypervector Space

Ranjbar-yanehsari, Esmail; Asghari-Larimi, Mohsen; Ameri, R.

doi:10.29020/nybg.ejpam.v12i1.3280

Cited by 4 publications

(3 citation statements)

References 8 publications

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“…The author expanded on this work and explored additional properties of fuzzy hypervector spaces in [16,17]. Ranjbar [28] examined the properties of soft hypervector spaces and fuzzy soft hypervector spaces, while the author [20] investigated results in soft hypervector spaces. Norouzi [27] introduced new directions concerning soft hypermodules and soft fuzzy hypermodules.…”

Section: Introductionmentioning

confidence: 99%

Quotient bipolar fuzzy soft sets of hypervector spaces and bipolar fuzzy soft sets of quotient hypervector spaces

Dehghan

2023

JAHLA

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In this paper, two related quotient structures are investigated utilizing the concept of coset. At first, a new hypervector space F/V = (F/V,\circ,\circledcirc,K) is created, which is composed of all cosets of a bipolar fuzzy soft set (F;A) over a hypervector space V . Then it will be shown that dim F/V = dim V/W, where the quotient hypervector space V/W includes all cosets of an especial subhyperspace W of V. Also, three bipolar fuzzy soft sets over the quotient hypervector space V/W are presented and in this way some new bipolar fuzzy soft hypervector spaces are defined.

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Section: Introductionmentioning

confidence: 99%

Quotient bipolar fuzzy soft sets of hypervector spaces and bipolar fuzzy soft sets of quotient hypervector spaces

Dehghan

2023

JAHLA

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“…The author followed his work and studied some more results of fuzzy hypervector spaces ([18, 19, 21, 22, 28]). Ranjbar [35] checked out some properties of fuzzy soft hypervector spaces. The author [23,27] investigated some results in soft hypervector spaces.…”

Section: Introductionmentioning

confidence: 99%

“…The author followed his work and studied some more properties of fuzzy hypervector spaces ( [20,21,23,24,29]). Ranjbar [38] checked out some properties of soft hypervector spaces and fuzzy soft hypervector spaces. Xin [45] applied the notion of intuitionistic fuzzy soft set to hyper BCK-algebras.…”

Section: Introductionmentioning

confidence: 99%

Convex Fuzzy Cones of Hypervector Spaces

Dehghan¹,

Ameri²

2021

Preprint

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The aim of this paper is to study some main properties of convex fuzzy cones of hypervector spaces. In this regard, a characterization of fuzzy subhyperspaces is presented based on ordinary subhyperspaces. Also the convex cone spanned by non-empty subsets of real hypervector spaces is obtained. Moreover, by introducing the notion of fuzzy cone, the smallest fuzzy subhyperspace of V containing µ and the largest fuzzy subhyperspace of V contained in µ is achieved, for a convex fuzzy cone µ of real hypervector space V .

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