Abstract
The sustainable medical supplier selection (SMSS) is an important issue facing the medical industry in the context of sustainable development, which can be regarded as a typical multi-attribute group decision making (MAGDM) problem. In the MAGDM process, linguistic term set (LTS) is particularly natural and convenient for decision makers (DMs) to express evaluation information. Especially, probabilistic linguistic term set (PLTS) is a very critical and effective tool, which can reflect the importance of different linguistic terms. Due to the different preferences and experience of different DMs, they may use multi-granularity probabilistic linguistic term sets (MGPLTSs) to represent different linguistic information. In this article, in order to study the comparison method of MGPLTSs, a new possibility degree formula is firstly proposed and its properties is proved. Then, in order to build a weight model, a possibility degree-based Best-Worst method (BWM) and a probability degree based-maximizing deviation method are established to calculate the subjective weights and objective weights of attributes, respectively. Where after, a MAGDM method is proposed by combining the ELimination Et Choix Traduisant la REalite (ELECTRE) method with Evaluation based on Distance from Average Solution (EDAS) method in the multi-granularity probabilistic linguistic information environment. Finally, the created MAGDM method is applied to the SMSS, and its effectiveness and advantages compared with other existing methods are verified.
Highlights
In the modern business development model, supply chain management has become an important part of winning competition among enterprises, and it is an extremely intricate field
The created possibility degree formula takes into account multi-granularity probabilistic linguistic term sets (MGPLTSs) is given by different decision makers (DMs), which is suitable for more complex linguistic environments
Attribute weight model In multi-attribute group decision-making (MAGDM), the attribute weights are an important factor affecting the final ranking of alternatives, which include the subjective weights considering the knowledge and preference of DMs, the objective weights based on attribute evaluation information and the combination weights combined with the advantages of subjective and objective weights
Summary
In the modern business development model, supply chain management has become an important part of winning competition among enterprises, and it is an extremely intricate field. Because the sustainability factors are very important for the medical supplier selection and have strategic significance, in recent years, many scholars have studied the MAGDM method to solve the problem of the SMSS. (2) To effectively deal with the problem of MAGDM with unknown attribute weights, through the proposed possibility degree, a possibility degree-based BWM model and a probability degree based-maximizing deviation method are established to calculate the attributes subjective weights and attributes objective weights, and the combination weights are obtained through the information entropy-based combination weights model.
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