Title :
Fuzzy random variables revisited
Author_Institution :
Dept. of Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan
Abstract :
Reviews the concept of a fuzzy random variable, its expected value, and limit theorems for sequences of fuzzy random variables. The author points out shortcomings in some concepts and results that have been defined in the literature. Finally, the author studies two inequalities involving the expected value of a fuzzy random variable: the Brunn-Minkowski inequality and the Jensen inequality. The author explores different extensions of the former, and gives an analog for the latter. Potential applications of the authors´ results are to the analysis of fuzzy random variables and to statistics with inexact data
Keywords :
fuzzy set theory; random processes; sequences; statistics; Brunn-Minkowski inequality; Jensen inequality; expected value; fuzzy random variable; inexact data; limit theorems; sequences; statistics; Extraterrestrial measurements; Fuzzy sets; Fuzzy systems; Mathematics; Random variables; Statistical analysis;
Conference_Titel :
Fuzzy Systems, 1995. International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium., Proceedings of 1995 IEEE Int
Conference_Location :
Yokohama
Print_ISBN :
0-7803-2461-7
DOI :
10.1109/FUZZY.1995.409802
