n-NORMED HYPERVECTOR SPACES

Abstract

In this paper, we introduce the concept of n-norm on hypervector spaces and investigate how we can obtain n-normed hypervector spaces from normed hypervector spaces. By defining n-homomorphisms on n-normed hypervector spaces and a suitable norm for them, we investigate some of their properties.Moreover, the notion of quasi-n-normed subhyperspaces is introduced and some results about them are obtained.

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

“…This theory has been extensively studied by researchers in various branches, with references to books such as [11], [13], and [34]. The concept of hypervector space was introduced by Scafati-Tallini [31] in 1990, and has since been investigated by Ameri [8], Sedghi [32], and author [15].…”

Convex Fuzzy Cones of Hypervector Spaces

“…Particularly, Scafati-Tallini [40] introduced the notion of hypervector space in 1990. Hypervector spaces studied by Ameri [9], Sedghi [38] and the author [20,24,26].…”

“…The theory of algebraic hyperstructures has been studied by many researchers in different fields, for example see the books [17], [19] and [44]. Especially, the concept of hypervector space was introduced by Scafati-Tallini [43] in 1990 and has been investigated by herself, Ameri [9], Sedghi [41] and the author [22,26,27].…”