A Cubic Set Theoretical Approach to Linear Space

The main motivation of this paper is to introduce the notion of cubic linear space. This inspiration is received from the structure of cubic sets. The notions of R-intersection, R-union, P-intersection, and P-union of cubic linear spaces are defined and we provide some results on these. We further introduce the notion of internal cubic linear space and external cubic linear space and establish some results on them

Normalsize Some Fixed Point Theorems in Intuitionistic Fuzzy n -Normed Linear spaces

Abstract In this paper the concepts of sectional intuitionistic fuzzy continuous mapping, l -intuitionistic fuzzy compact sets and asymptotic intuitionistic fuzzy normal structure are introduced. Schauder type and Baillon and Schoneberg type fixed point theorems are also established in an intuitionistic fuzzy n -normed linear space

Neutrosophic interval-valued anti fuzzy linear space

In this research paper, we have introduced the concept of Neutrosophic interval-valued anti fuzzy linear space (NIVAFLS) and have also examined its various distinct characteristics. A counter example has demonstrated that the intersection of two Neutrosophic interval-valued anti fuzzy linear spaces (NIVAFLSs) does not possess the capability to be a Neutrosophic interval-valued anti fuzzy linear space (NIVAFLS). Conversely, the union of two Neutrosophic interval-valued anti fuzzy linear spaces (NIVAFLSs) does form a Neutrosophic interval-valued anti fuzzy linear space (NIVAFLS). Additionally, we have defined and provided an explanation for the cartesian product of two (NIVAFLSs). Furthermore, we have performed a study on the homomorphic image and inverse image of Neutrosophic Anti-Fuzzy Linear Space (NIVAFLS), along with investigating some related properties

A Cubic Set Theoretical Approach to Linear Space

The main motivation of this paper is to introduce the notion of cubic linear space. This inspiration is received from the structure of cubic sets. The notions of R-intersection, R-union, P-intersection, and P-union of cubic linear spaces are defined and we provide some results on these. We further introduce the notion of internal cubic linear space and external cubic linear space and establish some results on them

Fuzzy n-normed linear space

The primary purpose of this paper is to introduce the notion of fuzzy n-normed linear space as a generalization of n-normed space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in α-n-norms are defined. We also provide some results on best approximation sets in α-n-normed space