A note on the space of fuzzy measurable functions for a monotone measure

In this paper, we give a necessary and sufficient condition to guarantee that the space of all finite measurable functions for a monotonic measure is a topological vector space with a countable local base and in this space convergence with respect to this topology is equivalent to the convergence in...

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Bibliographic Details
Published in:	Fuzzy sets and systems Vol. 182; no. 1; pp. 2 - 12
Main Authors:	Wu, Chong, Ren, Xuekun, Wu, Congxin
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 01.11.2011 Elsevier
Subjects:	Applied sciences Circuit properties Computer science; control theory; systems Convergence Digital circuits Double asymptotic null-additivity Electric, optical and optoelectronic circuits Electronic circuits Electronics Equivalence Exact sciences and technology Fuzzy Fuzzy logic Fuzzy measurable function Fuzzy point Fuzzy set theory Information, signal and communications theory Mathematical analysis Mathematical methods Mathematics Measure and integration Miscellaneous Monotonic measure Order continuity Sciences and techniques of general use Telecommunications and information theory Theoretical computing Topological vector space Topology Vector spaces Double asymptotic null-additivity Fuzzy measurable function Fuzzy point Monotonic measure Order continuity Topological vector space Monotonic function Fuzzy system Necessary and sufficient condition Vector measure Fuzzy set Convergence Vector space Information processing
ISSN:	0165-0114, 1872-6801
Online Access:	Get full text
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