Abstract
The multi-criteria decision-making (MCDM) problem has a solution whose quality can be affected by the experts’ inclinations. Under essential conditions, the fuzzy MCDM method can provide more acceptable and efficient outcomes to select the best alternatives. This work consists of a consensus-based technique for selecting and evaluating suppliers in an incomplete fuzzy preference relations (IFPRs) environment utilizing TL-transitivity (Lukasiewicz transitivity). The suggested method is developed based on the criteria of the Analytical Hierarchy Process (AHP) Fframework, and the decision matrix is construtced using consistent fuzzy preference relations (FPRs). We use the symmetrical decisional matrix approach. A variety of numerical explanations and an analysis of quantitative results illustrate the suggested methodology’s logic and effectiveness.
Highlights
The supply chain includes divisions responsible for developing new services and products, acquiring raw substances, transforming them into a finished form and delivering them to target consumers
In [27,28], Gong and Xu presented the least square procedure and two-goal-programming models based on incomplete fuzzy preference relations (IFPRs) to evaluate priority weights in group decisionmaking (GDM)
This paper provides a framework for building consensus in multi-criteria group decision-making (MCGDM) based on TL -consistency in the IFPR context
Summary
The supply chain includes divisions responsible for developing new services and products, acquiring raw substances, transforming them into a finished form and delivering them to target consumers. In [27,28], Gong and Xu presented the least square procedure and two-goal-programming models based on incomplete fuzzy preference relations (IFPRs) to evaluate priority weights in GDM. Several procedures to handle MCDM situations have been proposed in the literature under the condition of complete information This inspired us to establish a multi-criteria group decision-making (MCGDM) procedure that uses the Analytical Hierarchy Process (AHP) model [36,37], which has already provided significant outcomes in a variety of domains with limited information [38,39,40]. Since consistency has been a crucial problem to be addressed once information from experts is presented, the developed model will approximate relatively rational and consistent values for IFPRs. Transitivity is synonymous with consistency, and a variety of useful types of transitivity is proposed in the FPR literature [41].
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