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Symmetry
Volume 12
Issue 2
10.3390/sym12020264
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Article

Risky Multi-Attribute Decision-Making Method Based on the Interval Number of Normal Distribution

by
Sha Fu
*,
Xi-Long Qu
,
Ye-Zhi Xiao
,
Hang-Jun Zhou
and
Guo-Bing Fan
School of Information Technology and Management, Hunan University of Finance and Economics, Changsha 410205, China
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 264; https://doi.org/10.3390/sym12020264
Submission received: 6 January 2020 / Revised: 20 January 2020 / Accepted: 21 January 2020 / Published: 8 February 2020
Review Reports Versions Notes

Abstract

Focusing on risky decision-making problems taking the interval number of normal distribution as the information environment, this paper proposes a decision-making method based on the interval number of normal distribution. Firstly, the normalized matrix based on the decision maker’s attitude is obtained through analysis and calculation. Secondly, according to the existing properties of standard normal distribution, the risk preference factors of the decision makers are considered to confirm the possibility degree of each scheme. The possibility degree is then used for establishing a possibility degree matrix and, consequently, sequencing of all schemes is conducted according to existing theories of possibility degree meaning and the value size of possibility degree. Finally, the feasibility and validity of this method is verified through calculation example analysis.
Keywords: normal distribution; interval number; risky decision-making; multi-attribute decision-making; possibility degree normal distribution; interval number; risky decision-making; multi-attribute decision-making; possibility degree

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MDPI and ACS Style

Fu, S.; Qu, X.-L.; Xiao, Y.-Z.; Zhou, H.-J.; Fan, G.-B. Risky Multi-Attribute Decision-Making Method Based on the Interval Number of Normal Distribution. Symmetry 2020, 12, 264. https://doi.org/10.3390/sym12020264

AMA Style

Fu S, Qu X-L, Xiao Y-Z, Zhou H-J, Fan G-B. Risky Multi-Attribute Decision-Making Method Based on the Interval Number of Normal Distribution. Symmetry. 2020; 12(2):264. https://doi.org/10.3390/sym12020264

Chicago/Turabian Style

Fu, Sha, Xi-Long Qu, Ye-Zhi Xiao, Hang-Jun Zhou, and Guo-Bing Fan. 2020. "Risky Multi-Attribute Decision-Making Method Based on the Interval Number of Normal Distribution" Symmetry 12, no. 2: 264. https://doi.org/10.3390/sym12020264

APA Style

Fu, S., Qu, X.-L., Xiao, Y.-Z., Zhou, H.-J., & Fan, G.-B. (2020). Risky Multi-Attribute Decision-Making Method Based on the Interval Number of Normal Distribution. Symmetry, 12(2), 264. https://doi.org/10.3390/sym12020264

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