Intuitionistic fuzzy induced ordered entropic weighted averaging operator for group decision making

Article type: Research Article

Authors: Xian, Sidong^* | Xue, Wenting | Dong, Yafen

Affiliations: School of Science, Chongqing University of Posts and Telecommunications, Chongqing, P.R.China

Correspondence: [*] Corresponding author. Sidong Xian, School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, P.R.China. Tel.: +86 23 62461624; Fax: +86 23 62471795; E-mail: sidx@163.com.

Abstract: In the paper, we develop the intuitionistic fuzzy induced ordered entropic weighted averaging (IFIOEWA)operator for multiple attribute group decision making (MAGDM) problems. The new operator’s attribute values take the form of intuitionistic fuzzy numbers (IFNs) and the intuitionistic fuzzy entropy (IFE) is fully taken into account, after the intuitionistic fuzzy entropic weighted averaging (IFEWA)operator is proposed. Afterwards, the prime properties of the IFIOEWA operator are investigated under some operational laws of intuitionistic fuzzy numbers (IFNs). Moreover, a method based on the IFIOEWA operator for decision-making is presented. Eventually, a numerical example is constructed to reveal the availability and applicability of the raised operator.

Keywords: Group decision making, induce ordered weighted averaging, intuitionistic fuzzy numbers, intuitionistic fuzzy entropy

DOI: 10.3233/IFS-162183

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1189-1197, 2016