Approaches to decision making with Interval-valued intuitionistic fuzzy information and their application to enterprise financial performance assessment

Article type: Research Article

Authors: Li, Wei

Affiliations: Dalian Maritime University, Liaoning, Dalian, China

Note: [] Corresponding author. Wei Li, Dalian Maritime University, Liaoning, Dalian 116025, China. Tel./Fax: +86 013842804944; E-mail: [email protected]

Abstract: In this paper, we first introduce some operations on the interval-valued intuitionistic fuzzy sets, such as Hamacher sum, Hamacher product, etc., and further develop the interval-valued intuitionistic fuzzy Hamacher correlated averaging (IVIFHCA) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have applied the IVIFHCA operators to multiple attribute decision making with interval-valued intuitionistic fuzzy information. Finally, a practical example for evaluating the enterprise financial performance is used to illustrate the developed procedures.

Keywords: Interval-valued intuitionistic fuzzy numbers, operational laws, interval-valued intuitionistic fuzzy Hamacher correlated averaging (IVIFHCA) operator, enterprise financial performance

DOI: 10.3233/IFS-130973

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 1-8, 2014