Lipschitz Continuity of Approximate Reasoning

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2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing

August 06-August 08

ISBN: 978-0-7695-3263-9

	ASCII Text	x
	Takashi Mitsuishi, Takanori Terashima, Toshimichi Homma, Yasunari Shidama, "Lipschitz Continuity of Approximate Reasoning," Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on, pp. 135-140, 2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2008.

	BibTex	x
	@article{ 10.1109/SNPD.2008.115, author = {Takashi Mitsuishi and Takanori Terashima and Toshimichi Homma and Yasunari Shidama}, title = {Lipschitz Continuity of Approximate Reasoning}, journal ={Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on}, volume = {0}, year = {2008}, isbn = {978-0-7695-3263-9}, pages = {135-140}, doi = {http://doi.ieeecomputersociety.org/10.1109/SNPD.2008.115}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on TI - Lipschitz Continuity of Approximate Reasoning SN - 978-0-7695-3263-9 SP135 EP140 A1 - Takashi Mitsuishi, A1 - Takanori Terashima, A1 - Toshimichi Homma, A1 - Yasunari Shidama, PY - 2008 KW - approximate reasoning KW - Lipschitz continuity KW - fuzzy cpntrol VL - 0 JA - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on ER -

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2008.115

Lipschitz continuity of some approximate reasoning methods on the premise variables are described to guarantee the existence of the unique solution of the state equation of a fuzzy control.To obtain this result, some conditions must be given to the set of membership functions. Then we introduce some sets of membership functions used in Mamdani method, product-sum-gravity method and Larsen method and proved Lipschitz continuity of them.

Index Terms:

approximate reasoning, Lipschitz continuity, fuzzy cpntrol

Citation:

Takashi Mitsuishi, Takanori Terashima, Toshimichi Homma, Yasunari Shidama, "Lipschitz Continuity of Approximate Reasoning," snpd, pp.135-140, 2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2008

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