Title
Total utility of Z-number.
Abstract
Z-numbers, combined with “constraint” and “reliability”, has more power to express human knowledge. How to determine the ordering of Z-numbers and how to make a decision with Z-numbers are both meaningful and open issues. In this paper, a new notion of the total utility of Z-number is proposed to measure the total effects of a Z-number. The proposed total utility of Z-number can be used to determine the ordering of Z-numbers, and can also be simply applied in the application of multi-criteria decision making under uncertain environments. Two particular cases of Z-number (Gaussian and triangular), and some mathematical properties of the total utility of Z-number are discussed in this paper. Several applications and comparative analyses are shown to demonstrate the effectiveness of the proposed total utility of Z-number in the application of ordering Z-numbers and multi-criteria decision making.
Year
DOI
Venue
2018
https://doi.org/10.1007/s10489-017-1001-5
Appl. Intell.
Keywords
Field
DocType
Z-number,Utility,Fuzzy number,Preference of Z-number,Decision making
Decision tree,Optimal decision,Computer science,Subjective expected utility,Gaussian,Human knowledge,Artificial intelligence,Z number,Fuzzy number,Decision-making,Machine learning
Journal
Volume
Issue
ISSN
48
3
0924-669X
Citations 
PageRank 
References 
5
0.41
39
Authors
3
Name
Order
Citations
PageRank
Bingyi Kang11389.24
Yong Deng2124883.34
Rehan Sadiq336430.26