Title :
On the applied basis of λ-additive fuzzy measures
Author :
Ye, Huaizhen ; Zhang, Qiang
Author_Institution :
Dept. of Transp. Eng., Southwest Jiaotong Univ., Sichuan, China
Abstract :
The relationship between probability measures and λ-additive fuzzy measures is used to give the definition of the product measures of λ-additive fuzzy measures and Fubini´s theorem is discussed. A Lebesgue decomposition-like theorem, Kolmogorov´s zero-one law and the important Borel-Cantelli lemma for λ-additive fuzzy measures are established
Keywords :
fuzzy set theory; integral equations; lambda calculus; measurement; probability; Borel-Cantelli lemma; Fubini theorem; Kolmogorov zero-one law; Lebesgue decomposition-like theorem; applied basis; lambda additive fuzzy measures; probability measures; product measures; Artificial intelligence; Equations; Extraterrestrial measurements; Fuzzy sets;
Conference_Titel :
Intelligent Processing Systems, 1997. ICIPS '97. 1997 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-4253-4
DOI :
10.1109/ICIPS.1997.672792