An approach to multiple attributes decision making with hesitant interval-valued fuzzy information and its application

Article type: Research Article

Authors: Li, Wu-Xu

Affiliations: ShanDong University of Finance and Economics, Jinan, Shandong, China

Note: [] Corresponding author. Wu-Xu Li, ShanDong University of Finance and Economics, Jinan, Shandong 250000, China. Tel./Fax: +86 15806629999; E-mail: toliwu@163.com

Abstract: In this paper, we investigate the multiple attribute decision making (MADM) problems with hesitant interval-valued fuzzy information. We first introduce some operations on the hesitant interval-valued fuzzy sets. Then, we further develop some new Einstein aggregation operators based on the Choquet integral with hesitant interval-valued fuzzy information, such as the hesitant interval-valued fuzzy Einstein correlated averaging (HIVFECA) operator and hesitant interval-valued fuzzy Einstein correlated geometric (HIVFECG) operator. Then, we apply the hesitant interval-valued fuzzy Einstein correlated averaging (HIVFECA) operator and hesitant interval-valued fuzzy Einstein correlated geometric (HIVFECG) operator to deal with multiple attribute decision making under the hesitant interval-valued fuzzy environments. Finally, an illustrative example for evaluating the quality of physical education class in universal institutions is given to verify the developed approach.

Keywords: Multiple attribute decision making (MADM), hesitant interval-valued fuzzy values, Einstein aggregation operators, hesitant interval-valued fuzzy Einstein correlated averaging (HIVFECA) operator, hesitant interval-valued fuzzy Einstein correlated geometric (HIVFECG) operator

DOI: 10.3233/IFS-131070

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 2, pp. 495-503, 2015