Journal ArticleDOI
Fuzzy best-worst multi-criteria decision-making method and its applications
Sen Guo,Haoran Zhao +1 more
TLDR
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.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.read more
Citations
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Journal ArticleDOI
Assessing the social sustainability of supply chains using Best Worst Method
TL;DR: In this article, the authors proposed a framework for investigating the social sustainability of supply chains in manufacturing companies, and a sample of 38 experts was used to evaluate and prioritize social sustainability criteria, using a multi-criteria decision-making method called the best worst method.
Journal ArticleDOI
The state-of-the-art survey on integrations and applications of the best worst method in decision making: Why, what, what for and what's next?
TL;DR: This paper concentrates on the state-of-the-art survey of the BWM based on the in-depth analysis over the publications concerning this method published from 2015 to 26th, January 2019.
Journal ArticleDOI
Modification of the Best–Worst and MABAC methods: A novel approach based on interval-valued fuzzy-rough numbers
TL;DR: It is shown that by integrating the rough approach with the traditional fuzzy approach, the subjectivity that exists when defining the borders of fuzzy sets is eliminated.
Journal ArticleDOI
Assessing challenges for implementing Industry 4.0: Implications for process safety and environmental protection
TL;DR: In this paper, the authors identified a set of challenges (framework) for implementing Industry 4.0 in manufacturing industries and evaluated them using a novel multi-criteria decision-making method named Best-Worst method (BWM).
Journal ArticleDOI
ZBWM: The Z-number extension of Best Worst Method and its application for supplier development
TL;DR: Providing BWM with Z-numbers enables the BWM method to handle the uncertainty of information of a multi-criteria decision and shows that ZBWM results lower inconsistency when compared with BWM.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Book ChapterDOI
The Analytic Hierarchy Process
Thomas L. Saaty,Kevin P. Kearns +1 more
TL;DR: Analytic Hierarchy Process (AHP) as mentioned in this paper is a systematic procedure for representing the elements of any problem hierarchically, which organizes the basic rationality by breaking down a problem into its smaller constituent parts and then guides decision makers through a series of pairwise comparison judgments to express the relative strength or intensity of impact of the elements in the hierarchy.
Journal ArticleDOI
How to make a decision: The analytic hierarchy process
TL;DR: The Analytic Hierarchy Process (AHP) as discussed by the authors is a multicriteria decision-making approach in which factors are arranged in a hierarchic structure, and the principles and philosophy of the theory are summarized giving general background information of the type of measurement utilized, its properties and applications.
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Decision-making in a fuzzy environment
Richard Bellman,Lotfi A. Zadeh +1 more
TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.