TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers

Authors

  • Pranab Biswas Department of Mathematics, Jadavpur University, Kolkata-700032, India
  • Surapati Pramanik Pramanik * Department of Mathematics, Nandalal B.T. College, Panpur, Narayanpur-743126, India.
  • Bibhas C. Giri Department of Mathematics, Jadavpur University, Kolkata-700032, India.

Keywords:

Single-valued trapezoidal neutrosophic number, multi-attribute decision making, TOPSIS

Abstract

. Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a popular strategy for MultiAttribute Decision Making (MADM). In this paper, we
extend the TOPSIS strategy of MADM problems in trapezoidal neutrosophic number environment. The attribute
values are expressed in terms of single-valued trapezoidal neutrosophic numbers. The weight information of attribute is incompletely known or completely unknown. Using the maximum deviation strategy, we develop an optimization model to obtain the weight of the attributes. Then we develop an extended TOPSIS strategy to deal with MADM with single-valued trapezoidal neutrosophic numbers. To illustrate and validate the proposed TOPSIS strategy, we provide a numerical example of MADM problem.

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Published

2018-04-28

Issue

Vol. 19 (2018): Neutrosophic Sets and Systems vol. 19 (201`8)

Section

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

License

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

Pranab Biswas, Pramanik, S. P., & Bibhas C. Giri. (2018). TOPSIS Strategy for Multi-Attribute Decision Making with Trapezoidal Neutrosophic Numbers . Neutrosophic Sets and Systems, 19(2018-04-28), 29-39. https://fs.unm.edu/nss8/index.php/111/article/view/351

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