An extended multiple criteria decision making method based on neutrosophic hesitant fuzzy information

Article type: Research Article

Authors: Liu, Peide^* | Zhang, Lili

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 250014, China. Tel.: +86 531 82222188; E-mail: Peide.liu@gmail.com.

Abstract: Neutrosophic hesitant fuzzy set (NHFS) is an extension of neutrosophic set and the hesitant fuzzy set, which can easily express the uncertain, incomplete and inconsistent information, and the VIKOR (from Serbian: VIseKriterijumska Optimizacija I Kompromisno Resenje) method is an effective decision making tool which can select the optimal alternative by the maximizing “group utility” and minimizing “individual regret” with cognitive computation. In this paper, we firstly introduced some operational laws, comparison rules and the Hamming distance measure of neutrosophic hesitant fuzzy set, and described the traditional VIKOR method which only processes the crisp numbers. Then we extended the VIKOR method to process the Neutrosophic hesitant fuzzy information (NHFI), and proposed an extended VIKOR method for the multiple criteria decision making (MCDM) problems with NHFI, and an illustrative example shows the effectiveness of the proposed approach.

Keywords: Multiple neutrosophic hesitant fuzzy set, VIKOR method, multiple criteria decision making (MCDM)

DOI: 10.3233/JIFS-16136

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 6, pp. 4403-4413, 2017