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Geometric Bonferroni means of interval-valued intuitionistic fuzzy numbers and their application to multiple attribute group decision making

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Abstract

The aim of the paper was to propose the interval-valued intuitionistic fuzzy geometric Bonferroni mean and the weighted interval-valued intuitionistic fuzzy geometric Bonferroni mean for aggregating interval-valued intuitionistic fuzzy sets, taking into account the interrelationship between interval-valued intuitionistic fuzzy arguments. Then, some useful properties and special cases of the developed operators are investigated. Furthermore, the developed operators are used to put forward an approach for multiple attribute group decision making with interval-valued intuitionistic fuzzy information. Finally, an illustrative example is furnished to show the feasibility and practicality of the developed approach.

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Acknowledgements

The author thanks the anonymous referees for their valuable suggestions in improving this paper. This work is supported by the National Natural Science Foundation of China (Grant Nos. 61375075, 61672205) and the Scientific Research Project of Department of Education of Hebei Province of China (Grant Nos. QN2015026, QN2016235).

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  1. College of Mathematics and Information Science, Hebei University, Baoding, 071002, Hebei, China

    Zhiming Zhang

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Zhang, Z. Geometric Bonferroni means of interval-valued intuitionistic fuzzy numbers and their application to multiple attribute group decision making. Neural Comput & Applic 29, 1139–1154 (2018). https://doi.org/10.1007/s00521-016-2621-0

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