Affiliations: [a] School of Mathematics and Statistics, Shandong University of Technology, Zibo, China
| [b] Business School, Shandong University of Technology, Zibo, China
Correspondence:
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Corresponding author. Liyuan Zhang, Business School, Shandong University of Technology, Zibo 255049, China. E-mail: [email protected].
Abstract: In order to express the uncertainty associated with imprecision or vagueness, a decision maker may give his/her judgments in terms of intuitionistic multiplicative preference relations. In the process of decision making with intuitionistic multiplicative preference relations, how to obtain the intuitionistic multiplicative priority weight vector is an important issue. In this paper, based on the consistency of intuitionistic multiplicative preference relation, a new transformation formula is introduced to construct a consistent intuitionistic multiplicative preference relation from a given normalized intuitionistic multiplicative weight vector. Then, we propose two techniques for group decision making with intuitionistic multiplicative preference relations. In the first case where the decision maker acts as separate individual, the intuitionistic multiplicative priority weight vector of each decision maker can be derived from the individual intuitionistic multiplicative preference relation, after that an overall priority weight vector can be obtained by synthesizing these individual priority weight vectors together. When the decision makers are taken as a group, the overall intuitionistic multiplicative priority weight vector can be generated directly by building a goal programming model without using the aggregation operator. Furthermore, two examples are presented to illustrate the validity and applicability of the proposed methods.
