Title :
Interval-Valued Probability in the Analysis of Problems Containing a Mixture of Fuzzy, Possibilisitic and Interval Uncertainty
Author :
Lodwick, Weldon A. ; Jamison, K. David
Author_Institution :
Dept. of Math., Colorado Univ., Denver, CO
Abstract :
A simple definition of interval-valued probability measure is given and its implications examined. Properties are derived which allow for the analysis of mixtures of fuzzy, possibilistic, probabilistic and interval uncertainty within on problem utilizing interval-valued probability theory. In particular, it is shown that clouds fit within the context of interval-valued probability as derived herein. Examples and applications are given that illustrate the usefulness and power of the concepts
Keywords :
fuzzy set theory; probability; fuzzy set theory; interval uncertainty; interval-valued probability; possibilistic uncertainty; Arithmetic; Clouds; Extraterrestrial measurements; Fuzzy set theory; Joining processes; Mathematics; Probability; Uncertainty; Welding; Fuzzy Set Theory; Imprecise Probability; Interval Analysis; Possibility Theory; Probability Theory;
Conference_Titel :
Fuzzy Information Processing Society, 2006. NAFIPS 2006. Annual meeting of the North American
Conference_Location :
Montreal, Que.
Print_ISBN :
1-4244-0363-4
Electronic_ISBN :
1-4244-0363-4
DOI :
10.1109/NAFIPS.2006.365480
