Implication operators in fuzzy logic

Ying, M

Implication operators in fuzzy logic

Ying, M

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Fuzzy Systems, 2002, 10 (1), pp. 88 - 91
Issue Date:: 2002-02-01

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Field	Value	Language
dc.contributor.author	Ying, M https://orcid.org/0000-0003-4847-702X	en_US
dc.date.issued	2002-02-01	en_US
dc.identifier.citation	IEEE Transactions on Fuzzy Systems, 2002, 10 (1), pp. 88 - 91	en_US
dc.identifier.issn	1063-6706	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9091
dc.description.abstract	The choice of fuzzy implication as well as other connectives is an important problem in the theoretical development of fuzzy logic, and at the same time, it is significant for the performance of the systems in which fuzzy logic technique is employed. There are mainly two ways in fuzzy logic to define implication operators: 1) an implication operator is considered as the residuation of conjunction operator; and 2) it is directly defined in terms of negation, conjunction, and disjunction operators. The purpose of this paper is to determine the number of implication operators defined in the second way for some usual negation, conjunction and disjunction operators in fuzzy logic.	en_US
dc.relation.ispartof	IEEE Transactions on Fuzzy Systems	en_US
dc.relation.isbasedon	10.1109/91.983282	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	Implication operators in fuzzy logic	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	10	en_US
utslib.for	080199 Artificial Intelligence and Image Processing not elsewhere classified	en_US
utslib.for	080203 Computational Logic and Formal Languages	en_US
utslib.for	020603 Quantum Information, Computation and Communication	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
utslib.for	0906 Electrical and Electronic Engineering	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	10	en_US

Abstract:

The choice of fuzzy implication as well as other connectives is an important problem in the theoretical development of fuzzy logic, and at the same time, it is significant for the performance of the systems in which fuzzy logic technique is employed. There are mainly two ways in fuzzy logic to define implication operators: 1) an implication operator is considered as the residuation of conjunction operator; and 2) it is directly defined in terms of negation, conjunction, and disjunction operators. The purpose of this paper is to determine the number of implication operators defined in the second way for some usual negation, conjunction and disjunction operators in fuzzy logic.

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http://hdl.handle.net/10453/9091