Title :
Further research on absolute continuity of non-additive set functions on T∞-tribe
Author :
Fengye Wang ; Zhiyong Huang ; Wancai Yang
Author_Institution :
Sch. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China
Abstract :
In the paper, we further discuss the conception of absolute continuity to the non-additive set functions on T∞-tribe. Because the types of absolute continuity of non-additive set functions on T∞-tribe can be defined by using complex expressions, we give the various types of absolute continuity on T∞-tribe. Based on the operators of triangular norm, the relationships among the absolute continuity of non-additive set functions on T∞-tribe are established.
Keywords :
fuzzy set theory; T∞-tribe; absolute continuity; complex expressions; fuzzy measures; fuzzy sets; nonadditive set functions; triangular norm operator; Additives; Educational institutions; Fuzzy sets; Fuzzy systems; Games; Terminology; absolute continuity; fuzzy measure; set functions; triangular norms;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019544
