TY - JOUR T1 - On the Properties of Credibility Critical Value Functions AU - JO - Journal of Information and Computing Science VL - 4 SP - 195 EP - 206 PY - 2024 DA - 2024/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22831.html KW - fuzzy variable, credibility function, critical value function KW - sufficient and necessary condition AB - The objective of this paper is to deal with the analytical properties of credibility critical value functions. Based on the continuity of credibility functions, several sufficient and necessary conditions for some properties of the credibility critical value functions are established. The results obtained in this paper can be used to fuzzy optimization problems as we design algorithms to compute the critical values of objective functions.