Abstract
AbstractIn this paper, we focus on the fusion of heterogeneous incomplete hesitant preference relations (including hesitant fuzzy preference relations and hesitant multiplicative preference relations) under group decision making settings. First, some simple formulae are developed to derive a priority weight vector from an incomplete hesitant fuzzy preference relation or an incomplete hesitant multiplicative preference relation based on the logarithmic least squares method. Based on the priority weight vector, an induced fuzzy or multiplicative preference relation can be derived for an incomplete hesitant preference relation. Moreover, the consistency indices of hesitant fuzzy preference relations and hesitant multiplicative preference relations are defined. Afterwards, an approach to group decision making based on incomplete hesitant fuzzy preference relations and incomplete hesitant multiplicative preference relations is developed to deal with group decision making problems with multiple decision organiz...
Highlights
Group decision making (GDM) is a common activity occurring in human beings’ life, which usually needs a group of decision makers to achieve the final decision for a specific decision making problem 1
Two important issues are usually considered for GDM with fuzzy preference relations: (1) Individual consistency which is used to measure the agreement degree among the preference values provided by an individual decision maker 9; (2) Group consensus which is used to measure the agreement degree among different decision makers’ judgments 10
Motivated by the logarithmic least squares method 50,51,52, this paper develops some formulae to derive priority weights from an incomplete hesitant fuzzy preference relation (HFPR) or an incomplete hesitant multiplicative preference relation (HMPR), and an approach to GDM based on heterogeneous incomplete hesitant preference relations is proposed, which can be used to deal with GDM problems with multiple decision organizations
Summary
Group decision making (GDM) is a common activity occurring in human beings’ life, which usually needs a group of decision makers to achieve the final decision for a specific decision making problem 1. Xia and Xu defined the concept of hesitant multiplicative elements and hesitant multiplicative preference relation (HMPR) and developed some approaches to managing hesitant information in GDM problems with fuzzy and multiplicative preference relations. For GDM problems with HMPRs, Zhang and Wu defined the individual consistency index and group consensus index, and developed a consistency and consensus-based decision support model. Based on the concept of HMPR, Zhu and Xu proposed the analytic hierarchy process-hesitant GDM approach to deal with decision making problem with hierarchal structures. Motivated by the logarithmic least squares method 50,51,52, this paper develops some formulae to derive priority weights from an incomplete HFPR or an incomplete HMPR, and an approach to GDM based on heterogeneous incomplete hesitant preference relations is proposed, which can be used to deal with GDM problems with multiple decision organizations.
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