A novel fuzzy system named as 2-way fuzzy system is developed by combining
the intuitionistic fuzzy set theory with the fuzzy systems theory. The developed
system is used in modelling and minimizing uncertainty and inconsistency.
Uncertainty is the width of the interval introduced by the independent
assignment of membership and nonmembership functions of the intuitionistic
fuzzy sets / and inconsistency is the violation of the consistency inequality in
this assignment. The uncertainty and inconsistency is reduced through a 2
phase training. An evaluation of the degree of reduction of inconsistency is
carried out at the end of the rst phase of training by forming the shadowed
set patterns of the membership and nonmembership functions. The system is
further trained for a second phase in order to reduce uncertainty.
There are three dierent methods developed for the stability analysis of
fuzzy systems. The rst method is based on the approximating sequences
technique, and the design turns into an optimal control problem. In the sec ond analysis, describing function of a 2-way fuzzy system is evaluated analytically,
and a systematic design approach is developed using describing function
technique. The last analysis technique employs the Lie algebra theory in the
stability analysis of Takagi-Sugeno fuzzy systems. The theoretical results are
simulated on an application system, which is a
exible-joint robot arm system.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/4/734285/index.pdf |
| Date | 01 January 2003 |
| Creators | Gurkan, Evren |
| Contributors | Erkmen, Ayhan M. |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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