Triangular fuzzy quadripartitioned neutrosophic set and its  properties

Tanmoy Chatterjee; Surapati Pramanik

Authors

Tanmoy Chatterjee Department of Mathematics, Swami Vivekananda University, Barrackpore, India, KOL- 700121
Surapati Pramanik Nandalal Ghosh B.T. College, Panpur, Narayanpur, Dist.-24 Pgs(N), West Bengal, India, PIN-743126

Keywords:

Fuzzy set; neutrosophic set; single-valued neutrosophic set; quadripartitioned neutrosophic set; triangular fuzzy neutrosophic set

Abstract

The main objective of the paper is to hybridize the triangular fuzzy number and the
quadripartitioned neutrosophic set and develop the triangular fuzzy quadripartitioned
neutrosophic set. The triangular fuzzy numbers have great potential to express uncertainty
systematically. So, the combination of the triangular fuzzy numbers and quadripartitioned
neutrosophic sets is an intelligent mathematical tool that will be a helpful mathematical tool for
decision-making. We define some operations on the triangular fuzzy quadripartitioned
neutrosophic sets such as union, intersection, and complement. We establish some important
theorems on operations like union, intersection in between three triangular fuzzy quadripartitioned
neutrosophic sets in an elaborate way. We have defined unity and null triangular fuzzy
quadripartitioned neutrosophic sets and established some mathematical operations on them. We
establish some fundamental properties of the developed triangular fuzzy quadripartitioned
neutrosophic sets.

DOI: 10.5281/zenodo.13932302