MMN-3332

An extension of the TOPSIS for multi-attribute group decision making under neutrosophic environment

  • AmirHossein Nafei, Department of Mathematics and Information Science, Guangzhou University, Guangzhou, China, 510006, Amir.nafei@e.gzhu.edu.cn
  • Yongyi Gu, Department of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou, China, 510320, gdguyongyi@163.com
  • Wenjun Yuan, Department of Mathematics and Information Science, Guangzhou University, Guangzhou, China, 510006, wjyuan1957@126.com

Abstract

Neutrosophic set as a generalization of the classical fuzzy sets and intuitionistic fuzzy sets is an effective tool to deal with inconsistent, imprecise and vague information. TOPSIS is a multiple attribute method to identify solutions from a finite set of alternatives based upon simultaneous minimization of distance from an ideal point and maximization of distance from a nadir point. In this paper, we first develop a new Hamming distance between single-valued neutrosophic numbers and then present an extension of the TOPSIS method for multi-attribute group decision-making (MAGDM) based on single-valued neutrosophic sets, where the information about attribute values and attribute weights are expressed by decision-makers based on neutrosophic numbers.


Vol. 22 (2021), No. 1, pp. 393-405
DOI: 10.18514/MMN.2021.3332


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