δ-equalities of complex fuzzy relations

Zhang, G; Dillon, TS; Cai, KY; Ma, J; Lu, J

δ-equalities of complex fuzzy relations

Zhang, G

Dillon, TS Cai, KY Ma, J Lu, J

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Publication Type:: Conference Proceeding
Citation:: Proceedings - International Conference on Advanced Information Networking and Applications, AINA, 2010, pp. 1218 - 1224
Issue Date:: 2010-07-12

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Field	Value	Language
dc.contributor.author	Zhang, G https://orcid.org/0000-0003-3960-0583	en_US
dc.contributor.author	Dillon, TS	en_US
dc.contributor.author	Cai, KY	en_US
dc.contributor.author	Ma, J	en_US
dc.contributor.author	Lu, J https://orcid.org/0000-0003-0690-4732	en_US
dc.date.issued	2010-07-12	en_US
dc.identifier.citation	Proceedings - International Conference on Advanced Information Networking and Applications, AINA, 2010, pp. 1218 - 1224	en_US
dc.identifier.isbn	9780769540184	en_US
dc.identifier.issn	1550-445X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/16136
dc.description.abstract	A complex fuzzy relation is defined as a fuzzy relation whose membership function takes values in the unit circle on a complex plane. This paper first investigates various operation properties of a complex fuzzy relation. It then defines the distance measure of two complex fuzzy relations that can measure the differences between the grades as well as the phases of two complex fuzzy relations. This distance measure is used to define δ-equalities of complex fuzzy relations that coincide with those of fuzzy relations already defined in the literature if complex fuzzy relations reduce to real-valued fuzzy relations. Two complex fuzzy relations are said to be δ-equal if the distance between them is less than 1-δ. This paper shows how various operations between complex fuzzy relations, including T-norms and S-norms, affect given δ-equalities of complex fuzzy relations. Finally, fuzzy inference is examined in the framework of δ-equalities of complex fuzzy relations. © 2010 IEEE.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP0880739
dc.relation.ispartof	Proceedings - International Conference on Advanced Information Networking and Applications, AINA	en_US
dc.relation.isbasedon	10.1109/AINA.2010.78	en_US
dc.title	δ-equalities of complex fuzzy relations	en_US
dc.type	Conference Proceeding
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
dc.location.activity	Perth, Australia	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/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Software
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US

Abstract:

A complex fuzzy relation is defined as a fuzzy relation whose membership function takes values in the unit circle on a complex plane. This paper first investigates various operation properties of a complex fuzzy relation. It then defines the distance measure of two complex fuzzy relations that can measure the differences between the grades as well as the phases of two complex fuzzy relations. This distance measure is used to define δ-equalities of complex fuzzy relations that coincide with those of fuzzy relations already defined in the literature if complex fuzzy relations reduce to real-valued fuzzy relations. Two complex fuzzy relations are said to be δ-equal if the distance between them is less than 1-δ. This paper shows how various operations between complex fuzzy relations, including T-norms and S-norms, affect given δ-equalities of complex fuzzy relations. Finally, fuzzy inference is examined in the framework of δ-equalities of complex fuzzy relations. © 2010 IEEE.

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http://hdl.handle.net/10453/16136