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Article type: Research Article
Authors: Du, Wen Sheng; *
Affiliations: School of Business, Zhengzhou University, Zhengzhou, P.R. China
Correspondence: [*] Corresponding author. Wen Sheng Du, School of Business, Zhengzhou University, No. 100 Science Avenue, High-Tech Zone, Zhengzhou, 450001, P.R. China. E-mail: wsdu@zzu.edu.cn.
Abstract: The geometric-arithmetic mean inequality is undoubtedly the most important one in the area of information aggregation. Recently, some q-rung orthopair fuzzy aggregation operators were proposed based on the Hamacher operations. In this paper, we give a detailed theoretical and practical analysis of the developed Hamacher arithmetic and geometric operators for q-rung orthopair fuzzy values. First, we investigate the monotonicity of these Hamacher aggregation operators on q-rung orthopair fuzzy values with respect to the parameter within Hamacher operations. Then, we discuss the limiting cases of these q-rung orthopair fuzzy Hamacher aggregation operators as the parameter therein approaches to zero or infinity and give a new characterization of the boundedness of these aggregation operators. Subsequently, we establish the geometric-arithmetic mean inequality for q-rung orthopair fuzzy information based on Hamacher operations. Finally, we present a decision making method by use of these aggregation operators and apply it to the problem of enterprise resource planning system selection.
Keywords: Aggregation operator, enterprise resource planning system, geometric-arithmetic mean inequality, Hamacher operation, q-rung orthopair fuzzy value
DOI: 10.3233/JIFS-231452
Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 3, pp. 6893-6910, 2024
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