Density aggregation operators for interval-valued q-rung orthopair fuzzy numbers and their application in multiple attribute decision making

Article type: Research Article

Authors: Guo, Huijuan^{; *} | Yao, Ruipu

Affiliations: School of Information Engineering, Tianjin University of Commerce, TianJin, China

Correspondence: [*] Corresponding author. Huijuan Guo, School of Information Engineering, Tianjin University of Commerce, TianJin 300134, China. E-mail: [email protected].

Abstract: The symmetry between fuzzy evaluations and crisp numbers provides an effective solution to multiple attribute decision making (MADM) problems under fuzzy environments. Considering the effect of information distribution on decision making, a novel approach to MADM problems under the interval-valued q-rung orthopair fuzzy (Iq-ROF) environments is put forward. Firstly, the clustering method of interval-valued q-rung orthopair fuzzy numbers (Iq-ROFNs) is defined. Secondly, Iq-ROF density weighted arithmetic (Iq-ROFDWA) intermediate operator and Iq-ROF density weighted geometric average (Iq-ROFDWGA) intermediate operator are developed based on the density weighted intermediate operators for crisp numbers. Thirdly, combining the density weighted intermediate operators with the Iq-ROF weighted aggregation operators, Iq-ROF density aggregation operators including Iq-ROF density weighted arithmetic (Iq-ROFDWAA) aggregation operator and Iq-ROF density weighted geometric (Iq-ROFDWGG) aggregation operator are proposed. Finally, effectiveness of the proposed method is verified through a numerical example.

Keywords: Multiple attribute decision making (MADM), clustering, Iq-ROFDWAA aggregation operator, Iq-ROFDWGG aggregation operator

DOI: 10.3233/JIFS-210376

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 6, pp. 6547-6560, 2021