Study of bipolar fuzzy soft hypervector spaces

OR Dehghan - arXiv preprint arXiv:2310.06944, 2023 - arxiv.org
In this paper, three topics in bipolar fuzzy soft hypervector spaces are investigated. At first,
four equivalent conditions to definition of a bipolar fuzzy soft hypervector space are …

[PDF][PDF] Intersectional soft sets theory applied to generalized hypervector spaces

G Muhiuddin - Analele ştiinţifice ale Universităţii" Ovidius" Constanţa …, 2020 - sciendo.com
The notion of θ-generalized int-soft subfields, θ-generalized int-soft algebras over θ-
generalized int-soft subfields, and θ-generalized int-soft hypervector spaces are introduced …

Balanced and absorbing fuzzy subsets of hypervector spaces

OR Dehghan - Computational and Applied Mathematics, 2020 - Springer
In this paper, the notion of a balanced subset of a hypervector space over the field of real
numbers is generalized to a hypervector space over an arbitrary valued field. Moreover …

Affine and convex fuzzy subsets of hypervector spaces

OR Dehghan - Computational and Applied Mathematics, 2021 - Springer
The aim of this paper is to study some special types of fuzzy subsets of hypervector spaces,
ie, affine and convex. In this regard, the notion of affine subsets of hypervector spaces is …

Double‐Framed Soft Hypervector Spaces

G Muhiuddin, AM Al-Roqi - The Scientific World Journal, 2014 - Wiley Online Library
Double-Framed Soft Hypervector Spaces Page 1 Research Article Double-Framed Soft
Hypervector Spaces G. Muhiuddin1 and Abdullah M. Al-Roqi2 1 Department of Mathematics …

Sum and scalar product of fuzzy subhyperspaces

OR Dehghan - Journal of Discrete Mathematical Sciences and …, 2020 - Taylor & Francis
The aim of this paper is to study the properties of two operations, sum and scalar product, on
fuzzy subsets of hypervector spaces. In this regards, some new equivalent conditions of …

Fuzzy inner product and fuzzy norm of hyperspaces

R Ameri - 2014 - sid.ir
We introduce and study fuzzy (co-) inner product and fuzzy (co-) norm of hyperspaces. In this
regard by considering the notion of hyperspaces, as a generalization of vector spaces, rst …

Some properties of the Set of soft vectors on hypervector spaces

OR Dehghan - Fuzzy Systems and its Applications, 2022 - jfsa.fuzzy.ir
Using the concept of soft sets, as well as the concepts of fuzzy sets and rough sets, is one
way to solve problems that deal with uncertainty. The effect of this idea on algebraic …

Various kinds of fuzzy quotient hypervector spaces

OR Dehghan - Journal of Intelligent & Fuzzy Systems, 2018 - content.iospress.com
The aim of this paper is the study of fuzzy quotient hypervector spaces. In this regards
several kinds of fuzzy quotient hypervector spaces are introduced, according many …

Topological vector space derived from a (Tallini) topological hypervector space.

R Ameri, M Hamidi… - Journal of Linear & …, 2024 - search.ebscohost.com
In this paper, we consider a hypervector space (in the sense of Tallini) V over a field K. We
use the fundamental relation ε* over V, as the smallest equivalence relation on V, to derived …