Images and preimages of L -filterbases

We introduce the notion of L -filterbase on a strictly two-sided, commutative quantale lattice L . We define two types of the images and preimages of L -filterbases using Zadeh image and preimage operators. We study the images and preimages of L -filterbases induced by functions. We investigate thei...

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Bibliographic Details
Published in:Fuzzy sets and systems 2006-07, Vol.157 (14), p.1913-1927
Main Authors: Kim, Yong Chan, Mi Ko, Jung
Format: Article
Language:English
Subjects:
[formula omitted]-filter (preserving) maps
[formula omitted]-filterbases
[formula omitted]-filters
Applied sciences
Circuit properties
Computer science
control theory
systems
Control theory. Systems
Digital circuits
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Information, signal and communications theory
Mathematical methods
Miscellaneous
System theory
Telecommunications and information theory
The image (preimage) of [formula omitted]-filterbases
Theoretical computing
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Description
Summary:We introduce the notion of L -filterbase on a strictly two-sided, commutative quantale lattice L . We define two types of the images and preimages of L -filterbases using Zadeh image and preimage operators. We study the images and preimages of L -filterbases induced by functions. We investigate their properties.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2005.12.012