A Note on Intuitionistic Fuzzy Hypervector Spaces
Sanjay Roy, T. K. Samanta
TL;DR
This paper extends the concept of hypervector spaces by incorporating intuitionistic fuzzy sets, exploring their properties, and introducing linear transformations within this framework.
Contribution
It generalizes intuitionistic fuzzy hypervector spaces, studies their basic properties, and introduces linear transformations with key theorems in this context.
Findings
Intersection and union of fuzzy hypervector spaces are also fuzzy hypervector spaces
Basic properties of intuitionistic fuzzy hypervector spaces are established
A theorem on linear transformations in this setting is proved
Abstract
The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also Intuitionistic fuzzy hypervector space. Lastly, the notion of a linear transformation on a hypervector space is introduced and established an important theorem relative to Intuitionistic fuzzy hypervector spaces.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Fixed Point Theorems Analysis · Multi-Criteria Decision Making