A novel defuzzification method of SV-trapezoidal neutrosophic numbers and multi-attribute decision making: a comparative analysis

Abstract

The aim of this paper is to investigate the multiple attribute decision-making (MADM) problems where both the attribute value and attribute weight of alternatives are single-valued trapezoidal neutrosophic numbers (SVTN-numbers). Ranking of SVTN-numbers are always a necessary step in solving the MADM problems under SVTN environment, and the literature review reckoned the existence of six to seven ranking methods. After all the existing ranking methods of SVTN-numbers are examined, we firstly define the concept of centroid point and examine several useful properties of the developed concept. Then, we develop hamming ranking value and Euclidean ranking value of SVTN-numbers to compare the SVTN-numbers. Furthermore, based on the proposed ranking values, we develop a novel defuzzification method to MADM with linguistic information and give a real example deal with manufacturing company to illustrate the feasibility and effectiveness of the developed approach. Finally, we present some examples to compare the proposed method with the existing ranking results and the results verified through comparative analysis.

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Correspondence to İrfan Deli.

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Deli, İ. A novel defuzzification method of SV-trapezoidal neutrosophic numbers and multi-attribute decision making: a comparative analysis. Soft Comput 23, 12529–12545 (2019). https://doi.org/10.1007/s00500-019-03803-z

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Keywords

  • Neutrosophic sets
  • Trapezoidal neutrosophic numbers
  • Defuzzification
  • Centroid point
  • Hamming ranking value
  • Euclidean ranking value
  • Decision making