Abstract
The preference ranking organization method for enrichment of evaluations (PROMETHEE) method considers a significant outranking class of multi-criteria decision analysis (MCDA), as it is easy to deal with its simple computations. In the PROMETHEE, different preference functions are used according to the type and nature of attributes or criteria that demonstrate the clearness and reliability of this method. This study provides a new version of the PROMETHEE method using bipolar fuzzy information, named the bipolar fuzzy PROMETHEE method. Bipolar fuzzy sets or numbers constitute an asymmetrical relationship between two judgmental factors of human reasoning. Vague and imprecise knowledge is characterized by bipolar fuzzy linguistic terms which are further represented in the form of trapezoidal bipolar fuzzy numbers. The trapezoidal bipolar fuzzy numbers are used by analysts to assign the preferences of alternatives on the basis of criteria. Further, a ranking function of bipolar fuzzy numbers is considered to access the crisp real preferences of alternatives. The entropy weighting information is employed to calculate the weights of attributes by considering the condition of normality. A numerical example such as the selection of green suppliers by using the bipolar fuzzy PROMETHEE is performed on the basis of the usual criterion preference function in order to explain the procedure of the proposed method. Comparable results are derived by using the combination of linear and level preference functions. The results obtained by using different types of preference functions are the same, representing the authenticity of the proposed bipolar fuzzy PROMETHEE method.
Highlights
In the modern era, companies and organizations need to integrate their techniques and services to meet customer requirements and survive in the competitive environment
Multi-criteria decision analysis (MCDA) techniques or tools can be used to investigate this problem in a better way
We provide a new extension of an outranking method PROMETHEE using bipolar fuzzy information, namely, the bipolar fuzzy PROMETHEE method, to evaluate multi-criteria group decision-making problems
Summary
Companies and organizations need to integrate their techniques and services to meet customer requirements and survive in the competitive environment. The green supplier selection problem is based on multiple conflicting criteria, as it is not a single-criterion problem In this respect, multi-criteria decision analysis (MCDA) techniques or tools can be used to investigate this problem in a better way. The MCDA methods are used to rank a set of actions or alternatives on the basis of conflicting criteria or to obtain the optimal solution of MCDM problems These MCDA methods were introduced to investigate problems having exact data and numeric information. Abdullah et al [23] used the PROMETHEE method for the selection of green suppliers and provided a comparative study on the basis of preference functions. Provided a new multi-criteria decision-making approach by introducing the NEAT F-PROMETHEE technique in which the decision is made on the basis of mapping trapezoidal fuzzy numbers.
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