Order Relations Between Interval Numbers

  • Haohao LiEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1074)


In addition to fuzzy and stochastic theory, interval analysis is a powerful tool for solving uncertain problems. An important problem in interval analysis is the ranking of interval numbers. This paper analyzes the definitions of satisfaction index for comparing interval numbers. Sometimes different definitions of the satisfaction indices lead to confusion. The main result of the paper is to show that some existing definitions of the satisfaction index are equivalent.


Interval analysis Interval optimization Satisfaction index 



This research was supported by the NNSF of China (Grant No. 11701506).


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.School of Data SciencesZhejiang University of Finance and EconomicsHangzhouChina

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