A Multi-Attribute Decision-Making Algorithm Using Q-Rung Orthopair Power Bonferroni Mean Operator and Its Application

Ping He, Zaoli Yang and Bowen Hou
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Ping He: Tourism and Historical Culture College, Zhaoqing University, Zhaoqing 526061, Guangdong, China
Zaoli Yang: College of Economics and Management, Beijing University of Technology, Beijing 100124, China
Bowen Hou: College of Economics and Management, Beijing University of Technology, Beijing 100124, China

Mathematics, 2020, vol. 8, issue 8, 1-14

Abstract: The process of decision-making is subject to various influence factors and environmental uncertainties, which makes decision become a very complex task. As a new type of decision processing tool, the q-rung orthopair fuzzy sets can effectively deal with complex uncertain information arising in the decision process. To this end, this study proposes a new multi-attribute decision-making algorithm based on the power Bonferroni mean operator in the context of q-rung orthopair fuzzy information. In this method, in view of multi-attribute decision-making problem of internal relationship between multiple variables and extreme evaluation value, the Bonferroni mean operator is combined with power average operator. Then, the integrated operator is introduced into the q-rung orthopair fuzzy set to develop a new q-rung orthopair power Bonferroni mean operator, and some relevant properties of this new operator are discussed. Secondly, a multi-attribute decision-making method is established based on this proposed operator. Finally, the feasibility and superiority of our method are testified via a numerical example of investment partner selection in the tourism market.

Keywords: q-rung orthopair fuzzy set; power Bonferroni mean operator; multi-attribute decision-making algorithm; complex uncertain information (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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