FNS is not isomorphic to FTS

Li, S; Luo, M

FNS is not isomorphic to FTS

Li, S

Luo, M

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Publication Type:: Journal Article
Citation:: Fuzzy Sets and Systems, 2003, 136 (1), pp. 127 - 131
Issue Date:: 2003-05-16

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Field	Value	Language
dc.contributor.author	Li, S https://orcid.org/0000-0002-3332-2546	en_US
dc.contributor.author	Luo, M	en_US
dc.date.issued	2003-05-16	en_US
dc.identifier.citation	Fuzzy Sets and Systems, 2003, 136 (1), pp. 127 - 131	en_US
dc.identifier.issn	0165-0114	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9033
dc.description.abstract	In this paper, we show that there are exactly c different simultaneously bireflective and bicoreflective subconstructs of FNS, in fact there exists a one-to-one correspondence between those subconstructs of FNS and open sets of (0, 1). We also prove that FNS and FNBS are mutually complemented in the complete lattice of simultaneously bireflective and bicoreflective subconstructs of FTS. As a result we get that FNS is not isomorphic to FTS. © 2002 Elsevier Science B.V. All rights rserved.	en_US
dc.relation.ispartof	Fuzzy Sets and Systems	en_US
dc.relation.isbasedon	10.1016/S0165-0114(02)00144-6	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	FNS is not isomorphic to FTS	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	136	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	closed_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	136	en_US

Abstract:

In this paper, we show that there are exactly c different simultaneously bireflective and bicoreflective subconstructs of FNS, in fact there exists a one-to-one correspondence between those subconstructs of FNS and open sets of (0, 1). We also prove that FNS and FNBS are mutually complemented in the complete lattice of simultaneously bireflective and bicoreflective subconstructs of FTS. As a result we get that FNS is not isomorphic to FTS. © 2002 Elsevier Science B.V. All rights rserved.

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http://hdl.handle.net/10453/9033