期刊
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
卷 23, 期 2, 页码 285-315出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218488515500129
关键词
Geometric Bonferroni mean; power geometric average operator; intuitionistic fuzzy power geometric Bonferroni mean; multiple attribute group decision making
资金
- National Natural Science Foundation of China [71225006, 71371011, 71301001]
- Higher School Specialized Research Fund for the Doctoral Program [20123401110001]
- Anhui Provincial Natural Science Foundation [1308085QG127]
- Provincial Natural Science Research Project of Anhui Colleges [KJ2012A026]
- Humanity and Social Science Youth Foundation of Ministry of Education [13YJC630092]
- Humanities and social science Research Project of Department of Education of Anhui Province [SK2013B041]
- Project of Anhui Province for Excellent Young Talents in Universities
The geometric Bonferroni mean (GBM) can capture the interrelationships between input arguments, which is an important generalization of Bonferroni mean (BM). In this paper, we combine geometric Bonferroni mean (GBM) with the power geometric average (PGA) operator under intuitionistic fuzzy environment and present the intuitionistic fuzzy geometric power Bonferroni mean (IFPGBM) and the weighted intuitionistic fuzzy power geometric Bonferroni mean (WIFPGBM). The desirable properties of these new extensions of Bonferroni mean and their special cases are investigated. We list the detailed steps of multiple attribute group decision making with the developed IFPGBM or WIFPGBM, and give a comparison of the new extensions of Bonferroni mean by this paper with the corresponding existing intuitionistic fuzzy Bonferroni means. Finally, examples are illustrated to show the validity and feasibility of the new approaches.
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