Intuitionistic Fuzzy Bonferroni Means

Author

Xu, Zeshui ; Yager, Ronald R.

Author_Institution

Sch. of Econ. & Manage., Southeast Univ., Nanjing, China

Volume

41

Issue

2

fYear

2011

fDate

4/1/2011 12:00:00 AM

Firstpage

568

Lastpage

578

Abstract

The Bonferroni mean (BM) was originally introduced by Bonferroni and then more recently generalized by Yager. The desirable characteristic of the BM is its capability to capture the interrelationship between input arguments. Nevertheless, it seems that the existing literature only considers the BM for aggregating crisp numbers instead of any other types of arguments. In this paper, we investigate the BM under intuitionistic fuzzy environments. We develop an intuitionistic fuzzy BM (IFBM) and discuss its variety of special cases. Then, we apply the weighted IFBM to multicriteria decision making. Some numerical examples are given to illustrate our results.

Keywords

decision making; formal logic; fuzzy set theory; IFBM; intuitionistic fuzzy Bonferroni means; multicriteria decision making; Accuracy; Cybernetics; Decision making; Economics; Investments; Medical diagnosis; Uncertainty; Bonferroni mean (BM); intuitionistic fuzzy number (IFN); multicriteria decision making; Algorithms; Artificial Intelligence; Computer Simulation; Decision Support Techniques; Intuition; Models, Theoretical; Pattern Recognition, Automated;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

1083-4419

Type

jour

DOI

10.1109/TSMCB.2010.2072918

Filename

5585790