Name
Abstract | ||
|---|---|---|
In this paper, we consider a topological approach to extension of t-conorm-based decomposable measures by introducing a fuzzy pseudometric structure on an algebra of sets. We prove that every non-strict continuous Archimedean t-conorm-based decomposable measure can be extended from an algebra to the completion of this algebra under the fuzzy pseudometric and then to the sigma-algebra generated by this algebra. The existence of such an extension follows very simply from the well-known Caratheodory result. However, our topological proof offers an intuitive interpretation of the extension of decomposable measures. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.fss.2012.09.010 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
topological proof,topological approach,fuzzy pseudometric,fuzzy pseudometrics,well-known caratheodory result,non-strict continuous archimedean,intuitive interpretation,fuzzy pseudometric structure,t-conorm-based decomposable measure,decomposable measure,space,t norm | T-norm,Discrete mathematics,Algebra of sets,Pseudometric space,Fuzzy logic,Mathematics | Journal |
Volume | ISSN | Citations |
222, | 0165-0114 | 3 |
PageRank | References | Authors |
0.40 | 15 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dong Qiu | 1 | 69 | 6.38 |
| Weiquan Zhang | 2 | 60 | 6.33 |
| Cheng Li | 3 | 154 | 13.91 |