Title :
The Sufficient and Necessary Conditions for the Continuity of Credibility Distribution
Author :
Wang, Shu-ming ; Liu, Yan-Kui
Author_Institution :
Coll. of Math. & Comput. Sci., Hebei Univ., Baoding
Abstract :
The subject of this paper is to study some analytical properties of credibility distribution. We established the sufficient and necessary condition for the right continuity of credibility distribution and discuss as well the sufficient conditions under which credibility distribution is left continuous or continous. The results obtained in this paper are useful in fuzzy optimization theory
Keywords :
fuzzy set theory; possibility theory; statistical distributions; credibility distribution; fuzzy optimization theory; probability theory; Chromium; Computer science; Cybernetics; Distribution functions; Educational institutions; Fuzzy sets; Fuzzy systems; Machine learning; Mathematics; Possibility theory; Stochastic processes; Sufficient conditions; Fuzzy variable; continuity; credibility distribution; sufficient and necessary condition;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258985
