Study of Bipolar Fuzzy Soft Hypervector Spaces
O. R. Dehghan
TL;DR
This paper explores the properties and constructions of bipolar fuzzy soft hypervector spaces, providing new definitions, characterizations, and examples, and studying a special class called normal bipolar fuzzy soft hypervector spaces.
Contribution
It introduces four equivalent conditions for bipolar fuzzy soft hypervector spaces, constructs new examples, and investigates the class of normal bipolar fuzzy soft hypervector spaces.
Findings
Four equivalent conditions for bipolar fuzzy soft hypervector spaces
New constructions of bipolar fuzzy soft hypervector spaces
Study of normal bipolar fuzzy soft hypervector spaces
Abstract
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 presented, from different point of views. Then some new bipolar fuzzy soft hypervector spaces are constructed, using the notions of subhyperspace, level subset, generated subhyperspace and previous bipolar fuzzy soft hypervector spaces. Finally, normal bipolar fuzzy soft hypervector spaces is studied, as an especial kind of bipolar fuzzy soft hypervector spaces. All concepts are supported by interesting examples.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Fixed Point Theorems Analysis