Journal
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
Volume 67, Issue 1, Pages 127-147Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1057/jors.2015.66
Keywords
Bonferroni mean; power average (PA) operator; intuitionistic fuzzy sets; intuitionistic fuzzy power Bonferroni mean; multiple attribute group decision making
Funding
- National Natural Science Foundation of China [71225006]
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The Bonferroni mean (BM) had been generalized for its capacity to capture the interrelationship between input arguments. In order to obtain much more information in the process of group decision making, especially in the cases that the relationships between the fused data are considered, this paper combines the power average operator with the intuitionistic fuzzy Bonferroni mean (IFBM) and develops the intuitionistic fuzzy power Bonferroni mean (IFPBM) and the weighted intuitionistic fuzzy power Bonferroni mean (WIFPBM). We investigate the desirable properties of these new extensions of BM and discuss their special cases. We give a comparison of the new extensions of BM with the corresponding existing IFBMs. Furthermore, the detailed steps of multiple attribute group decision making with the presented IFPBM or WIFPBM are given and numerical examples are illustrated to show the validity and feasibility of the new approaches.
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