MCDM Problem using Generalized Dodecagonal Neutrosophic Number using Max – Min and Min – Max Principle

L.Jeromia Anthvanet¹, A. Rajkumar²,D.Nagarajan^3*. Broumi Said⁴

^1,2Hindustan Institute of Technology and Science, Chennai, India.

³Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, India.

⁴Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

Emails: janthvanet@gmail.com; arajkumar@hindustanuniv.ac.in;

 dnrmsu2002@yahoo.com; broumisaid78@gmail.com

Corresponding author: dnrmsu2002@yahoo.com

Abstract

Deciding is the most vital part in any situation or problem that we face in our real time atmosphere. It is the situation where we must decide on the available choices. We have introduced Dodecagonal Neutrosophic Number and its properties. The concept of max-min and min-max principle is applied to the problem that is taken. The concept of heavy ordered weighted averaging operator by assigning equal weights to the attributes and a solution is found for a MCDM problem.

Keywords: Multi-criteria decision making; Neutrosophic Number; Dodecagonal Neutrosophic Number; Max – min principle; Min – max principle; heavy ordered weighted averaging operator.