An Extended VIKOR Method for Decision Making Problem with Interval-Valued Linguistic Intuitionistic Fuzzy Numbers Based on Entropy

Article type: Research Article

Authors: Liu, Peide^{; *} | Qin, Xiyou

Affiliations: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China. E-mail: peide.liu@gmail.com

Correspondence: [*] Corresponding author.

Abstract: In this paper, with respect to how to express the complex fuzzy information, we proposed the concept of interval-valued linguistic intuitionistic fuzzy numbers (IVLIFNs), whose membership and non-membership are represented by interval-valued linguistic terms, then the Hamming distance is defined, further, we also proposed the interval-valued linguistic intuitionistic fuzzy entropy. Considering that the VIKOR method can achieve the maximum “group utility” and minimum of “individual regret”, we extended the VIKOR method to process the interval-valued linguistic intuitionistic fuzzy information (IVLIFI), and proposed an extended VIKOR method for the multiple attribute decision making (MADM) problems with IVLIFI. And an illustrative example shows the effectiveness of the proposed approach.

Keywords: multiple attribute decision making, interval-valued linguistic intuitionistic fuzzy numbers, interval-valued linguistic intuitionistic fuzzy entropy, VIKOR method

Journal: Informatica, vol. 28, no. 4, pp. 665-685, 2017