Bipolar Neutrosophic Projection Based Models for Solving Multi-attribute Decision Making Problems

Authors

  • Surapati Pramanik Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, District - North 24 Parganas, Pin Code-743126, West Bengal, India
  • Partha Pratim Dey Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India
  • Bibhas C. Giri Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA

Keywords:

Bipolar neutrosophic sets, projection measure, bidirectional projection measure, hybrid projection measure, multiattribute decision making

Abstract

Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modelling real life decision-making problems. In the paper, we define projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets. Three new methods based on the proposed projection measures are developed for solving multi-attribute decision-making problems. In the solution process, the ratings of performance values of the alternatives with respect to the attributes are expressed in terms of bipolar neutrosophic values. We calculate projection, bidirectional projection, and hybrid projection measures between each alternative and ideal alternative with bipolar neutrosophic information. All the alternatives are ranked to identify the best alternative. Finally, a numerical example is provided to demonstrate the applicability and effectiveness of the developed methods. Comparison analysis with the existing methods in the literature in bipolar neutrosophic environment is also performed.

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Published

2020-09-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Pramanik, S., Dey, P. P. ., Giri, B. C., & Smarandache, F. (2020). Bipolar Neutrosophic Projection Based Models for Solving Multi-attribute Decision Making Problems. Neutrosophic Sets and Systems, 15, 70-79. https://fs.unm.edu/nss8/index.php/111/article/view/376

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