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2014 Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators
Xiaoqiang Zhou, Qingguo Li
J. Appl. Math. 2014(SI09): 1-14 (2014). DOI: 10.1155/2014/745617

Abstract

We first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation operators, including the hesitant fuzzy Einstein weighted geometric (HFEWGε) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWGε) operator, which are the extensions of the weighted geometric operator and the ordered weighted geometric (OWG) operator with hesitant fuzzy information, respectively. Furthermore, we establish the connections between the proposed and the existing hesitant fuzzy aggregation operators and discuss various properties of the proposed operators. Finally, we apply the HFEWGε operator to solve the hesitant fuzzy decision making problems.

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Xiaoqiang Zhou. Qingguo Li. "Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators." J. Appl. Math. 2014 (SI09) 1 - 14, 2014. https://doi.org/10.1155/2014/745617

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07010735
Digital Object Identifier: 10.1155/2014/745617

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI09 • 2014
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