Approaches to multiple attribute decision making with hesitant interval-valued fuzzy information under correlative environment

Article type: Research Article

Authors: Zhu, Jian-Qi^; | Fu, Feng | Yin, Ke-Xin | Luo, Jia-Qian^; | Wei, Da^;

Affiliations: College of Computer Science and Technology, Jilin University, Changchun, China | Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China | Xi'an Satellite Control Center, Xi'an, China | College of Software, Changchun University of Technology, Changchun, China

Note: [] Corresponding author. Da Wei, Tel.: +86 13504464827; Fax: +86 431 85168337; E-mail: [email protected]

Abstract: In this paper, we investigate the multiple attribute decision making (MADM) problems with hesitant interval-valued fuzzy information. Then, we further develop some new Einstein aggregation operators with hesitant interval-valued fuzzy information, such as the induced hesitant interval-valued fuzzy Einstein correlated averaging (I-HIVFECA) operator and induced hesitant interval-valued fuzzy Einstein correlated geometric (I-HIVFECG) operator. Then, we apply the induced hesitant interval-valued fuzzy Einstein correlated averaging (I-HIVFECA) operator and induced hesitant interval-valued fuzzy Einstein correlated geometric (I-HIVFECG) operator to deal with multiple attribute decision making under the hesitant interval-valued fuzzy environments. Finally, an illustrative example for evaluating software quality is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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

DOI: 10.3233/IFS-131066

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 2, pp. 1057-1065, 2014