Abstract | ||
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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 |
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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 |