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Lipschitz Continuity of Approximate Reasoning
August 06-August 08
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2008.1152008 Ninth ACIS International Confere ...
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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
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@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 -
 
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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