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2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Lipschitz Continuity of Approximate Reasoning
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," 2010 11th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing, 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 ={2010 11th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing}, 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 - 2010 11th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing 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 - 2010 11th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing 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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