Affiliations: College of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, Henan, China
Note: [] Corresponding author. Yang-rui Yang, College of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, 450000 Henan, China. Tel.: +86 013837176209; Fax: +86 013837176209; E-mail: [email protected]
Abstract: Interval-valued intuitionistic fuzzy information aggregation plays an important part in interval-valued intuitionistic fuzzy set theory, which has emerged to be a new research direction receiving more and more attention in recent years. In this paper, we first introduce some operations on interval-valued intuitionistic fuzzy sets, such as Einstein sum, Einstein product, Einstein exponentiation, etc., and further develop the induced interval-valued intuitionistic fuzzy Einstein ordered weighted geometric (I-IVIFEOWG) operator. We also establish some desirable properties of this operator, such as commutativity, idempotency and monotonicity. Then, we apply the induced interval-valued intuitionistic fuzzy Einstein hybrid geometric (I-IVIFEHG) operator to deal with multiple attribute decision making under interval-valued intuitionistic fuzzy environments. Finally, an illustrative example for software quality evaluation is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Keywords: Multiple attribute decision-making, interval-valued intuitionistic fuzzy numbers, operational laws, operator, the interval-valued intuitionistic fuzzy Einstein ordered weighted geometric (IVIFEOWG) operator, the induced interval-valued intuitionistic fuzzy Einstein ordered weighted geometric (I-IVIFEOWG) operator, software quality evaluation
