A Newly Proposed and Comparative Study on Multi - Criteria Decision Making in Interval Valued Bipolar Triangular Neutrosophic Set by PROMETHEE II

R Hema; R Sudharani

doi:10.17485/IJST/v15i35.993

Article

A Newly Proposed and Comparative Study on Multi - Criteria Decision Making in Interval Valued Bipolar Triangular Neutrosophic Set by PROMETHEE II

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v15i35.993

Year: 2022, Volume: 15, Issue: 35, Pages: 1745-1753

Original Article

A Newly Proposed and Comparative Study on Multi - Criteria Decision Making in Interval Valued Bipolar Triangular Neutrosophic Set by PROMETHEE II

R Hema¹, R Sudharani^2,3*

¹Assistant Professor, Department of Mathematics, Government Arts And Science College, (Deputed from Annamalai University, Chidambaram),, Nagercoil, 629 004, Tamilnadu, India
²Research Scholar, Department of Mathematics, Annamalai University, Annamalainagar, 608002, Tamilnadu, India
³Assistant Professor, Department of Mathematics, Panimalar Engineering College, Chennai, 600 123, Tamilnadu, India

*Corresponding Author
Email: [email protected]

Received Date:08 May 2022, Accepted Date:09 June 2022, Published Date:19 September 2022

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To propose the operational laws and operators in interval valued bipolar triangular neutrosophic sets and also to resolve multi criteria decision making problem using PROMETHEE II. Methods: Based on the combination of bipolar neutrosophic sets and interval valued triangular neutrosophic sets, an interval valued bipolar triangular neutrosophic set is proposed followed by its operational laws, score function, accuracy and certainty function. Findings: The arithmetic operators, operational laws and also the score function, accuracy and certainty functions have been proposed for interval valued bipolar triangular neutrosophic sets. The PROMETHEE II technique discovered and employed an aggregated weighted arithmetic operator to address the multi-criterion decision-making problem. Novelty: By the concept of interval valued bipolar triangular neutrosophic set, the results can be viewed with more accuracy for the linguistic variables rather than the crisp values. An illustrative example has been explained for the interval valued bipolar triangular neutrosophic numbers by which the effectiveness is tested with the comparative approach by using PROMETHEE II method.

Keywords : Interval valued neutrosophic numbers, Bipolar neutrosophic numbers, Interval valued bipolar triangular neutrosophic numbers, Score function, PROMETHEE II method.

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Copyright

© 2022 Hema & Sudharani. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Published By Indian Society for Education and Environment (iSee)