More on Dombi operations and Dombi aggregation operators for q-rung orthopair fuzzy values

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: Dombi operations which include the Dombi product and Dombi sum are special cases of t-norms and t-conorms besides the algebraic operations. Recently, operations and aggregation operators for q-rung orthopair fuzzy values (q-ROFVs) based on Dombi operations were proposed. In this paper, we further discuss some additional issues relating to Dombi operations and Dombi aggregation operators of q-ROFVs. First, we give a reasonable explanation for the definition of the Dombi scalar multiplication and Dombi exponentiation which are constructed respectively by the Dombi sum and Dombi product over q-ROFVs, and then investigate the fundamental properties of these operations. Subsequently, the shift-invariance and homogeneity properties of the q-rung orthopair fuzzy Dombi weighted averaging/geometric operators are analyzed. And the boundedness of aforementioned aggregation operators are precisely characterized with respect to the parameter in Dombi operations. Finally, a method for multiattribute decision making is proposed by utilizing the developed operators under the q-rung orthopair fuzzy environment and an example of the selection of investment companies is given to illustrate the detailed decision making process.

Keywords: aggregation operator, Dombi operation, multiattribute decision making, q-rung orthopair fuzzy value

DOI: 10.3233/JIFS-192052

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3715-3735, 2020