A group decision making approach in interval-valued intuitionistic hesitant fuzzy environment with confidence levels

Article type: Research Article

Authors: Yuan, Jiahang^{a; *} | Li, Cunbin^a | Xu, Fangqiu^a | Sun, Baojun^{a; b} | Li, Wenle^a

Affiliations: [a] School of Economics and Management, North China Electric Power University, Beijing, P.R. China | [b] Department of Computer Information and Management, Inner Mongolia University of Finance and Economics, Hohhot, P.R. China

Correspondence: [*] Corresponding author. Yuan Jiahang, School of Economics and Management, North China Electric Power University, Beijing 102206, P.R. China. E-mail: yuanjiahang@126.com.

Abstract: The main purpose of this paper is to research the multi-attribute group decision making (MAGDM) problems with interval-valued hesitant fuzzy numbers based on the confidence level. In this paper, we provide the confidence level of decision-making information which is applicable to put forward an optimized weight solution. Then we define the interval-valued intuitionistic hesitant fuzzy operator to aggregate decision information combing the φs transformation and Choquet integral. Taking the disadvantage of ranking by distance into account, we propose a ranking approach using the interval-valued intuitionistic hesitant fuzzy entropy. Finally, an illustrative example has been made to demonstrate the validity and feasibility of the proposed method.

Keywords: Interval-valued intuitionistic hesitant fuzzy numbers, confidence levels, Choquet integral, φs transformation

DOI: 10.3233/JIFS-16092

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1909-1919, 2016