Enhanced MADM Strategy with Heptapartitioned Neutrosophic Distance  Metrics

Mohamed eassa; M. Myvizhi; Mohamed Elkholy; Ahmed Abdelhafeez; Hussam Elbehiery

Authors

Mohamed eassa Computer Science Department, Faculty of Information System and Computer Science, October 6 University, Giza, 12585, Egypt; Applied Science Research Center. Applied Science Private University, Amman, Jordan
M. Myvizhi Assistant Professor, Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, Tamilnadu, India;
Mohamed Elkholy Faculty of Computer Science& Engineering, Alamein International University;
Ahmed Abdelhafeez Computer Science Department, Faculty of Information System and Computer Science, October 6 University, Giza, 12585, Egypt
Hussam Elbehiery Computer Science Department, Faculty of Information System and Computer Science, October 6 University, Giza, 12585, Egypt;

Keywords:

Heptapartitioned set, Heptapartitioned Neutrosophic set, Neutrosophic sine distance measure, Heptapartitioned Neutrosophic set and MADM strategy.

Abstract

In this work, a novel methodological approach to multi-attribute decision-making problems
is developed and the notion of Heptapartitioned Neutrosophic Set Distance Measures (HNSDM) is
introduced. By averaging the Penta-Partitioned Neutrosophic Distance Measures under particular
conditional criteria, the suggested technique ranks the options. Additionally, we explore the
fundamental characteristics of HNSDM and provide several illustrative theorems. The
Heptapartitioned Neutrosophic Set Distance Measures are formulated based on the Hepta
Neutrosophic Set. Lastly, a practical numerical example is provided to illustrate the efficacy of the
suggested methodology.

DOI: 10.5281/zenodo.14231102