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Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

Generalized Carathéodory extension theorem on fuzzy measure space
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Şahin, Mehmet; Olgun, Necati; Akyıldız, F. Talay; Karakuş, Ali;

doi: 10.1155/2012/260457

Generalized Caratheodory Extension Theorem on Fuzzy Measure Space

Abstract

Lattice‐valued fuzzy measures are lattice‐valued set functions which assign the bottom element of the lattice to the empty set and the top element of the lattice to the entire universe, satisfying the additive properties and the property of monotonicity. In this paper, we use the lattice‐valued fuzzy measures and outer measure definitions and generalize the Caratheodory extension theorem for lattice‐valued fuzzy measures.

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Keywords

lattice-valued set function, Fuzzy measure theory, QA1-939, fuzzy measures, Mathematics, Caratheodory extension theorem

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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