Relations on neutrosophic multi sets with properties

TL;DR

This paper introduces relations on neutrosophic multi sets, extending fuzzy relations, and explores their properties such as reflexivity, symmetry, and transitivity to enhance understanding of neutrosophic set interactions.

Contribution

It defines relations on neutrosophic multi sets and studies their fundamental properties, extending existing fuzzy relation concepts to neutrosophic contexts.

Findings

Defined cartesian product of neutrosophic multi sets

Extended relations to neutrosophic multi sets

Analyzed properties like reflexivity, symmetry, transitivity

Abstract

In this paper, we first give the cartesian product of two neutrosophic multi sets(NMS). Then, we define relations on neutrosophic multi sets to extend the intuitionistic fuzzy multi relations to neutrosophic multi relations. The relations allows to compose two neutrosophic sets. Also, various properties like reflexivity, symmetry and transitivity are studied.