Title
On Decomposable Measures Constructed By Using Stationary Fuzzy Pseudo-Ultrametrics
Abstract
We prove that for a given stationary fuzzy ultrametric space (in the sense of Kramosil & Michalek) it can induce a sigma--superdecomposable measure, by constructing a Hausdorff fuzzy pseudo-metric on its power set. We also prove that the restriction of the sigma--superdecomposable measure to the sigma-algebra of all measurable sets is a sigma--decomposable measure. Finally we conclude this paper with two open problems.
Year
DOI
Venue
2013
10.1080/03081079.2012.758879
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Keywords
Field
DocType
non-additive measures, decomposable measures, fuzzy metric spaces, t-norm, t-conorm
T-norm,Discrete mathematics,Measure (mathematics),Fuzzy measure theory,Fuzzy logic,Hausdorff space,Ultrametric space,Power set,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
42
4
0308-1079
Citations 
PageRank 
References 
2
0.37
13
Authors
3
Name
Order
Citations
PageRank
Dong Qiu1696.38
Wei Zhang2593.37
Cheng Li320.37