An extended TOPSIS method for multiple attribute group decision making based on single valued neutrosophic linguistic numbers

Article type: Research Article

Authors: Ye, Jun

Affiliations: Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, Zhejiang Province, P.R. China

Note: [] Corresponding author. Jun Ye, Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China. Tel.: +86 575 88327323; E-mail: yehjun@aliyun.com

Abstract: The paper proposes the concepts of a single valued neutrosophic linguistic set (SVNLS) and a single valued neutrosophic linguistic number (SVNLN) as a further generalization of the concepts of a linguistic variable, an intuitionistic linguistic set and an intuitionistic linguistic number (ILN). Then, we introduce the basic operational rules of SVNLNs and define a generalized distance measure between SVNLNs. Furthermore, we develop an extended TOPSIS method for a multiple attribute group decision making problem based on the SVNLNs under single valued neutrosophic linguistic environment. Finally, an illustrative example of investment alternatives and the comparative analysis are given to demonstrate the application and effectiveness of the developed approach.

Keywords: Single valued neutrosophic linguistic set, single valued neutrosophic linguistic number, distance measure, TOPSIS method, group decision making

DOI: 10.3233/IFS-141295

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 1, pp. 247-255, 2015