Normal wiggly hesitant fuzzy TODIM approach for multiple attribute decision making

Article type: Research Article

Authors: Liu, Peide^{; *} | Zhang, Pei

Affiliations: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China

Correspondence: [*] Corresponding author. Peide Liu, School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China. E-mail: peide.liu@gmail.com.

Abstract: A normal wiggly hesitant fuzzy set (NWHFS) is a powerful and useful tool to dig the potential indeterminacy of decision makers (DMs) in the process of expressing their preferences, which can be considered as an extended form of the traditional hesitant fuzzy set (HFS). The NWHFSs can not only retain the original hesitant fuzzy information completely, but also explore potential uncertainty of theses information. TODIM is an effective method to capture the psychological behavior based on prospect theory. Considering the advantages of NWHFS and TODIM method, in this paper, we define the distance measure of any two normal wiggly hesitant fuzzy elements (NWHFEs), and put forward an extended normal wiggly hesitant fuzzy TODIM (NWHF-TODIM) approach to handle multiple attribute decision making (MADM) problems with normal wiggly hesitant fuzzy (NWHF) information. Then we use the extended NWHF-TODIM method to rank alternatives and select an ideal one. Lastly, we compare it with two existing approaches to verify the rationality and validity of the proposed approach.

Keywords: Normal wiggly hesitant fuzzy sets, multiple attribute decision making, TODIM

DOI: 10.3233/JIFS-191569

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 627-644, 2020