Affiliations: School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan China
Correspondence:
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Corresponding author. Peide Liu, School of Management Science and Engineering, Shandong University of Finance andEconomics, Jinan 250014, China. Tel.: 86 531 82222188; Fax: 86 531 88525229; [email protected]
Abstract: Normal intuitionistic fuzzy numbers (NIFNs), which express their membership degree and non-membership degree as normal fuzzy numbers, can better character normal distribution phenomena existing in the real world. In this paper, we investigate the multiple attribute decision making problems with normal intuitionistic fuzzy information. Firstly, we introduce some operational laws, score function and accuracy function of NIFNs. Then, motivated by the ideal of Bonferroni mean, which can capture the interrelationship between input arguments, we develop some normal intuitionistic fuzzy aggregation operators, including the normal intuitionistic fuzzy Bonferroni mean (NIFBM) operator, the normal intuitionistic fuzzy weighted Bonferroni mean (NIFWBM) operator, the normal intuitionistic fuzzy geometric Bonferroni mean (NIFGBM) operator and the normal intuitionistic fuzzy geometric weighted Bonferroni mean (NIFGWBM) operator; and discuss some desirable properties of these operators. Furthermore, based on these operators, we propose a new approach for the multiple attribute group decision making under normal intuitionistic fuzzy environment. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the developedapproach.
Keywords: Multiple attribute group decision making, normal intuitionistic fuzzy numbers, Bonferroni mean, normal intuitionistic fuzzy Bonferroni mean operator, normal intuitionistic fuzzy geometric Bonferroni mean operator
