Paper Info
Title
Fuzzy best-worst multi-criteria decision-making method and its applications.
Abstract
Fuzzy best-worst method is proposed to solve the issues under fuzzy environment.A consistency ratio for fuzzy best-worst method is proposed for verification.The results indicate the fuzzy best-worst method outperforms best-worst method.The fuzzy best-worst method has a higher comparison consistency. Considering the vagueness frequently representing in decision data due to the lack of complete information and the ambiguity arising from the qualitative judgment of decision-makers, the crisp values of criteria may be inadequate to model the real-life multi-criteria decision-making (MCDM) issues. In this paper, the latest MCDM method, namely best-worst method (BWM) was extended to the fuzzy environment. The reference comparisons for the best criterion and for the worst criterion were described by linguistic terms of decision-makers, which can be expressed in triangular fuzzy numbers. Then, the graded mean integration representation (GMIR) method was employed to calculate the weights of criteria and alternatives with respect to different criteria under fuzzy environment. According to the concept of BWM, the nonlinearly constrained optimization problem was built for determining the fuzzy weights of criteria and alternatives with respect to different criteria. The fuzzy ranking scores of alternatives can be derived from the fuzzy weights of alternatives with respect to different criteria multiplied by fuzzy weights of the corresponding criteria, and then the crisp ranking score of alternatives can be calculated by employing GMIR method for optimal alternative selection. Meanwhile, the consistency ratio was proposed for fuzzy BWM to check the reliability of fuzzy preference comparisons. Three case studies were performed to illustrate the effectiveness and feasibility of the proposed fuzzy BWM. The results indicate the proposed fuzzy BWM can not only obtain reasonable preference ranking for alternatives but also has higher comparison consistency than the BWM.
Year
DOI
Venue
2017
10.1016/j.knosys.2017.01.010
Knowl.-Based Syst.
Keywords
Field
DocType
Fuzzy best-worst method,Fuzzy sets,Fuzzy reference comparison,Consistency ratio,Multi-criteria decision-making
Data mining,Mathematical optimization,Defuzzification,Fuzzy classification,Fuzzy set operations,Computer science,Fuzzy logic,Fuzzy measure theory,Fuzzy set,Fuzzy number,Membership function
Journal
Volume
Issue
ISSN
121
C
0950-7051
Citations 
PageRank 
References 
29
0.78
18
Authors
2
Name
Order
Citations
PageRank
Sen Guo1311.47
Haoran Zhao2290.78