A New Methodology for Neutrosophic Multi-attribute Decisionmaking with Unknown Weight Information

Authors

  • Pranab Biswas Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India
  • Surapati Pramanik Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, PO-Narayanpur, and District: North 24 Parganas, Pin Code: 743126, West Bengal, India
  • Bibhas C. Giri Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India

Keywords:

Neutrosophic set; Single-valued neutrosophic set; Grey relational analysis; Multi-attribute decision making; Unknown weight information., Neutrosophic set, Single-valued neutrosophic set, Grey relational analysis, Multi-attribute decision making, Unknown weight information

Abstract

In this paper, we present multi-attribute decisionmaking problem with neutrosophic assessment. We assume that the information about attribute weights is incompletely known or completely unknown. The ratings of alternatives with respect to each attributes are considered as single-valued neutrosophic set to catch up imprecise or vague information. Neutrosophic set is characterized by three independent degrees namely truthmembership degree (T), indeterminacy-membership degree (I), and falsity-membership degree (F). The modified grey relational analysis method is proposed to find out the best alternative for multi-attribute decision-making problem under neutrosophic environment. We establish a deviation based optimization model based on the ideal alternative to determine attribute weight in which the information about attribute weights is incompletely known. Again, we solve an optimization model with the help of Lagrange functions to find out the completely unknown attributes weight. By using these attributes weight we calculate the grey relational coefficient of each alternative from ideal alternative for ranking the alternatives. Finally, an illustrative example is provided in order to demonstrate its applicability and effectiveness of the proposed approach

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Published

2020-09-18

Issue

Section

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

How to Cite

Biswas, P. ., Pramanik, S., & Giri, B. C. (2020). A New Methodology for Neutrosophic Multi-attribute Decisionmaking with Unknown Weight Information. Neutrosophic Sets and Systems, 3, 42-50. https://fs.unm.edu/nss8/index.php/111/article/view/563

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