Abstract
During the decision-making process, evaluation information may be given in different formats based on the decision makers’ research fields or personal customs. To address the situation that alternatives are evaluated by both intuitionistic fuzzy preference relations (IFPRs) and intuitionistic multiplicative preference relations (IMPRs), a new priority approach based on a net flow score function is proposed. First, the two preference relations above are transformed into the corresponding interval-valued fuzzy preference relations (IVFPRs) and interval-valued multiplicative preference relations (IVMPRs), respectively. Second, the net flow score functions of individual IFPRs and IMPRs are obtained. Third, according to information theory, a mean deviation maximization model is constructed to compute the weights of decision-makers objectively. Finally, the collective net flow score of each alternative is obtained to determine the ranking result. The proposed method is certified to be simple, valid, and practical with three examples.
Highlights
During daily life, group decision-making (GDM) problems happen in many cases or fields when determining the best one of several alternatives
Inspired by Wang and Fan [33] and Xu et al [35], this paper considers the GDM problems where preference information is provided in the form of both intuitionistic fuzzy preference relations (IFPRs) and intuitionistic multiplicative preference relations (IMPRs)
This section investigates the relationship between IMPRs and interval multiplicative preference relation, and proposes a priority method for IFPRs and IMPRs based on net flow score function
Summary
Group decision-making (GDM) problems happen in many cases or fields when determining the best one of several alternatives. Zhang and Pedrycz [22] used a transformation formula to obtain the consistent IMPRs, and constructed optimization models to compute the intuitionistic fuzzy priorities. The existing literature invariably focuses on the priority methods concerning IFPRs or IMPRs; far, few scholars have addressed the GDM problems which concern the evaluation information provided by both IFPRs and IMPRs. In practical GDM problems, decision makers often have diverse research areas and may give different formats of preference relations. IVFPRs and IVMPRs, respectively; and constructs the net flow score functions of IFPRs and IMPRs. Section 4 develops an optimization model to compute the decision maker weights, and proposes a new approach to determine the best alternative when the preference information is provided by both IFPRs and IMPRs. Section 5 presents three examples of GDM problems to demonstrate the practicability of the new GDM approach.
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