Symmetric intuitionistic multiplicative aggregation operator for group decision making in intuitionistic multiplicative environments

Article type: Research Article

Authors: Xu, Chuan Yu | Ma, Zhen Ming^{; *}

Affiliations: School of Mathematics and Statistics, Linyi University, Linyi 276005, China

Correspondence: [*] Corresponding author. Zhen Ming Ma, School of Mathematics and Statistics, Linyi University, Linyi 276005, China. E-mail: [email protected].

Abstract:  Aggregation operators are indispensable to aggregate individual preference relations to a collective one in group decison making. Although some aggregation operators have been proposed in intuitionistic multiplicative environment, which can reflect our intuition more objectively, in this paper, it is pointed by an example that the existing aggregation operators generally can not aggregate individual intuitionistic multiplicative preference relations (IMPRs) into a collective one which limits the study of consensus of IMPRs in group decision making problems. Then, some new symmetric operations and symmetric intuitionistic multiplicative aggregation operator are proposed to overcome the above issue. At last, a procedure for group decision making problem with acceptable consensus based on the proposed operator is provided and an example illustrates the validity of the proposed method and comparison analyses are conducted.

Keywords: Intuitionistic multiplicative preference relations, Symmetric intuitionistic multiplicative aggregation operator, Group decision making

DOI: 10.3233/JIFS-181735

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 5909-5918, 2019