Intuitionistic multiplicative preference relation and its application in group decision making

Article type: Research Article

Authors: Qian, Weiyi^* | Niu, Linlin

Affiliations: School of Mathematics and Physics, Bohai University, Jinzhou, China

Correspondence: [*] Corresponding author. Weiyi Qian, School of Mathematics and Physics, Bohai University, Jinzhou 121000, China. Tel.: +86 0416 3400195; E-mail: weiyiqian2012@sina.cn.

Abstract: In this paper, some new operational laws of intuitionistic multiplicative numbers (IMNs) are defined, which can guarantee the closedness of operation. Based on these operational laws, some aggregation operators are proposed, including intuitionistic multiplicative weighted averaging (IMWA) operator and intuitionistic multiplicative weighted geometric (IMWG) operator. These aggregation operators also have the closedness under presented operational laws. Then, desirable properties of aggregation operators are also expatiated in details. Finally, a group decision making method is presented based on ituitionistic multiplicative preference relation, and the solution process of this decision making method is shown in details through a numerical example.

Keywords: Intuitionistic multiplicative set, operational laws, aggregation operator, group decision making, preference relation

DOI: 10.3233/IFS-151836

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2859-2870, 2016