Intuitionistic fuzzy multi-attribute decision making with ideal-point-based method and correlation measure

Article type: Research Article

Authors: Zhao, Hua^a | Xu, Zeshui^{b; *}

Affiliations: [a] College of Sciences, PLA University of Science and Technology, Nanjing, China | [b] Business School, Sichuan University, Chengdu, China

Correspondence: [*] Corresponding author. Zeshui Xu, Business School, Sichuan University, Chengdu 610064, China. Tel./Fax: +86 25 84483382; E-mail: [email protected].

Abstract: In this paper we develop a new measure for calculating the correlation coefficients between intuitionistic fuzzy sets (IFSs), and prove its desirable axiomatic properties. Then we present an algorithm for multi-attribute decision making. The algorithm first defines the intuitionistic fuzzy ideal solution (IFIS) and the intuitionistic fuzzy negative ideal solution (IFNIS). Then based on the IFIS, the IFNIS and the developed correlation coefficient, the algorithm gives a simple and straightforward method to rank and select the given alternatives. Two numerical examples are used to illustrate our algorithm. Finally we extend the correlation coefficient and the algorithm to interval-valued intuitionistic fuzzy environment.

Keywords: Intuitionistic fuzzy set, interval-valued intuitionistic fuzzy set, correlation coefficient, ideal point

DOI: 10.3233/IFS-151795

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 747-757, 2016