A Novel Approach in Heptapartitioned Neutrosophic Sets with its Weighted  Arithmetic Averaging Operator

Sudharani R; Chitra Devi D; Mahimairaj P; Thirunavukkarasu J; Jeyanthi L; Nagalakshmi T

Authors

Sudharani R Department of Mathematics, Panimalar Engineering College, Poonamallee, Chennai-600123, Tamil Nadu, India.
Chitra Devi D Department of Computer Science and Engineering, S. A. Engineering College, Thiruverkadu post, Chennai-600077, Tamil Nadu, India.
Mahimairaj P Department of Mathematics, Loyola College (Autonomous), Chennai-600034, Tamil Nadu, India.
Thirunavukkarasu J Department of Computer Science and Engineering, Sri Sai Ram Institute of Technology, Tambaram, Chennai-600 044, Tamil Nadu, India.
Jeyanthi L Department of Mathematics, Panimalar Engineering College, Poonamallee, Chennai-600123, Tamil Nadu, India.
Nagalakshmi T Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai-600062, Tamil Nadu, India.

Keywords:

Neutrosophic set, Quadripartitioned neutrosophic set, Pentapartitioned set, Heptapartitioned neutrosophic set and MCDM strategy.

Abstract

The aim of this paper is to introduce the heptapartitioned neutrosophic weighted
arithmetic averaging operator and also some of its basic algebraic properties of heptapartitioned
neutrosophic set. A score and accuracy function of heptapartitioned neutrosophic set has been
established. With the proposed score function, accuracy function and averaging operator a multi
criterion decision making problem has been solved and ranked with their alternatives by using
TOPSIS technique with different weightages which has been compared with the MOORA method.

DOI: 10.5281/zenodo.15229798