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Decision Making Using Z-numbers under Uncertain Environment
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TLDR
In this article, a new MCDM method based on Z-number is proposed to deal with linguistic decision making problems, which can be easily realized step by step with the arithmetic operations on Znumbers.Abstract:
Multi-criteria decision making (MCDM) under uncertain environment is still an open issue. Recently, Znumber has been developed by Zadeh to model fuzzy numbers with the confidence degree. In this paper, a new MCDM method based on Z-number is proposed to deal with linguistic decision making problems. The decision making process can be easily realized step by step with the arithmetic operations on Znumbers. A numerical example on MCDM is used to illustrate the efficiency of the proposed method.read more
Citations
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Journal ArticleDOI
The arithmetic of discrete Z-numbers
TL;DR: In this article, the main critical problem that naturally arises in processing Z-number-based information is computation with Z-numbers, which is a more adequate concept for description of real-world information.
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.
Journal ArticleDOI
Multi-Criteria Decision-Making Method Based on Distance Measure and Choquet Integral for Linguistic Z-Numbers
TL;DR: An extended TODIM method based on the Choquet integral for multi-criteria decision-making (MCDM) problems with linguistic Z-numbers is developed, which is a more comprehensive reflection of the decision-makers’ cognition but also is more in line with expression habits.
Journal ArticleDOI
The arithmetic of continuous Z-numbers
TL;DR: This work developed basic arithmetic operations such as addition, subtraction, multiplication and division, and some algebraic operations as maximum, minimum, square and square root of continuous Z-numbers.
Journal ArticleDOI
Hesitant Uncertain Linguistic Z-Numbers and Their Application in Multi-criteria Group Decision-Making Problems
Hong-gang Peng,Jian-qiang Wang +1 more
TL;DR: This paper focuses on the development of an innovative method to address multi-criteria group decision-making (MCGDM) problems in which the weight information is incompletely known.
References
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A Note on Z-numbers
TL;DR: The concept of a Z-number has a potential for many applications, especially in the realms of economics, decision analysis, risk assessment, prediction, anticipation and rule-based characterization of imprecise functions and relations.
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Short communication: Fuzzy Dijkstra algorithm for shortest path problem under uncertain environment
TL;DR: In this paper, a generalized Dijkstra algorithm is proposed to handle SPP in an uncertain environment and the graded mean integration representation of fuzzy numbers is adopted to improve the classical Dijksta algorithm.
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A new fuzzy dempster MCDM method and its application in supplier selection
Yong Deng,Felix T.S. Chan +1 more
TL;DR: A new MCDM methodology, using FST and DST, based on the main idea of the technique for order preference by similarity to an ideal solution (TOPSIS), is developed to deal with supplier selection problem.
Journal ArticleDOI
The canonical representation of multiplication operation on triangular fuzzy numbers
TL;DR: A new arithmetical principle is proposed and a new method is proposed that is easy to interpret the multiplication operation with the membership functions of fuzzy numbers and the canonical representation of multiplication operation on fuzzy numbers is computed.
Journal ArticleDOI
Ranking fuzzy numbers with an area method using radius of gyration
Yong Deng,Zhu Zhenfu,Liu Qi +2 more
TL;DR: A modified area method is proposed to rank fuzzy numbers with the area between the centroid point and original point that can effectively rank various fuzzy numbers and their images.