Paper Info
Title
Pseudometric generating property and autocontinuity of fuzzy measures
Abstract
Several necessary and sufficient conditions for the pseudometric generating property of non-additive set functions are given. The relation among the pseudometric generating property and autocontinuity of fuzzy measures is depicted by using the absolute continuity and exhaustivity. Moreover, any uniformly autocontinuous finite fuzzy measure is equivalent to a subadditive finite fuzzy measure. A further research on purely atomic fuzzy measures is also made.
Year
DOI
Venue
2000
10.1016/S0165-0114(97)00395-3
Fuzzy Sets and Systems
Keywords
Field
DocType
absolute continuity,fuzzy measure,pseudometric generating property,atom,pseudometric-generating property,exhaustivity,autocontinuity,subadditivity
Discrete mathematics,Topology,Applied mathematics,Absolute continuity,Pseudometric space,Measure (mathematics),Fuzzy logic,Fuzzy measure theory,Subadditivity,Fuzzy control system,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
112
2
Fuzzy Sets and Systems
Citations 
PageRank 
References 
6
1.30
3
Authors
5
Name
Order
Citations
PageRank
Qingshan Jiang158877.27
Shengrui Wang284765.89
Djemel Ziou3139599.40
Zhenyuan Wang468490.22
George J. Klir5815138.18