Induced interval-valued intuitionistic fuzzy Hamacher ordered weighted geometric operator and their application to multiple attribute decision making

Article type: Research Article

Authors: Xiao, Shuo

Affiliations: School of Computer Science and Technology, China University of Mining and Technology, Xuzhou, China

Note: [] Corresponding author. Shuo Xiao, School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, China. Tel./Fax: +86 18652165290; E-mail: [email protected]

Abstract: In this paper, we first introduce some operations on interval-valued intuitionistic fuzzy sets, such as Hamacher sum, Hamacher product, etc., and further develop the induced interval-valued intuitionistic fuzzy Hamacher ordered weighted geometric (I-IVIFHOWG) 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 Hamacher ordered weighted geometric (I-IVIFHOWG) operator to deal with the interval-valued intuitionistic fuzzy multiple attribute decision making problems. Finally, an illustrative example for evaluating the security of wireless sensor network is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keywords: Interval-valued intuitionistic fuzzy numbers, operational laws, the induced interval-valued intuitionistic fuzzy Hamacher ordered weighted geometric (I-IVIFHOWG) operator, wireless sensor network

DOI: 10.3233/IFS-131021

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 527-534, 2014