FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W137488774> ?p ?o ?g. }

• W137488774 endingPage "224" @default.
• W137488774 startingPage "202" @default.
• W137488774 abstract "When Zadeh introduced the Compositional Rule of Inference, one of the most important aspects was that by this new technique of modelling it became possible to describe very complex systems in a way that enables drastic reduction of computational complexity (both in the space and time sense), as compared to previous symbolic methods of Artificial Intelligence that always neglected the subsymbolic structural information in the model. A computationally more effective version of the same idea was soon proposed by Mamdani, and so practical applications of fuzzy models and controllers were suddenly possible. The Mamdani (M-)model was followed several years later by a simplified technique, proposed by Sugeno (S-controller) , a special case of the M-controller, using crisp output in the rules, and this was soon extended to the idea of Takagi-Sugeno-model that uses crisp outputs, however as functions valid for an element of the fuzzy partition of the input space. The existence of these models started a philosophical question: Do very complex systems with no identificable explicit models have a crisp transfer function at all that can be approximated (even if it is unknown)? The S- and TS-models seem to suggest an affirmative answer. The M-model, however, does not support the assumption. We think that both attitudes have a justification: some of the systems do have a theoretical crisp transfer function, but some of them do not. What is the solution of the problem in the latter case? There exists a fuzzy transfer function, that maps the fuzzy power set of the input universe of discourse onto the fuzzy power set of the output universe of discourse. We have recently discussed some aspects of this mapping, showing that all former models can be interpreted as special case of the general fuzzy model. (This model is also supported by recent considerations of Zadeh on a class of problems that cannot be discussed in terms of crisp transfer functions.) This paper will add a few aspects to the ways of approximation both types of transfer functions, crisp anf fuzzy. The most important elements here are the evidence obtained by analysing the explicit functions of the three classical fuzzy controllers, the results available on the universal approximator property of fuzzy controllers, and the method of rule interpolation that enables the uniform handling of all models in question. Some advantageous properties of the interpolation techniques proposed by Kôczy and Hirota will be shown, especially stressing the stability of such interpolations." @default.
• W137488774 created "2016-06-24" @default.
• W137488774 creator A5020781131 @default.
• W137488774 creator A5070226189 @default.
• W137488774 date "1998-01-01" @default.
• W137488774 modified "2023-09-25" @default.
• W137488774 title "Approximation of Transfer Functions by Various Fuzzy Controllers" @default.
• W137488774 cites W1485567977 @default.
• W137488774 cites W1992176519 @default.
• W137488774 cites W2010891123 @default.
• W137488774 cites W2012257195 @default.
• W137488774 cites W2013198395 @default.
• W137488774 cites W2030949032 @default.
• W137488774 cites W2043992910 @default.
• W137488774 cites W2079325629 @default.
• W137488774 cites W2124065547 @default.
• W137488774 cites W2130230508 @default.
• W137488774 doi "https://doi.org/10.1007/978-3-7908-1885-7_13" @default.
• W137488774 hasPublicationYear "1998" @default.
• W137488774 type Work @default.
• W137488774 sameAs 137488774 @default.
• W137488774 citedByCount "0" @default.
• W137488774 crossrefType "book-chapter" @default.
• W137488774 hasAuthorship W137488774A5020781131 @default.
• W137488774 hasAuthorship W137488774A5070226189 @default.
• W137488774 hasConcept C111335779 @default.
• W137488774 hasConcept C114614502 @default.
• W137488774 hasConcept C119599485 @default.
• W137488774 hasConcept C127413603 @default.
• W137488774 hasConcept C14036430 @default.
• W137488774 hasConcept C154945302 @default.
• W137488774 hasConcept C195975749 @default.
• W137488774 hasConcept C2524010 @default.
• W137488774 hasConcept C2776214188 @default.
• W137488774 hasConcept C33923547 @default.
• W137488774 hasConcept C41008148 @default.
• W137488774 hasConcept C42011625 @default.
• W137488774 hasConcept C42812 @default.
• W137488774 hasConcept C47822265 @default.
• W137488774 hasConcept C5263885 @default.
• W137488774 hasConcept C58166 @default.
• W137488774 hasConcept C78458016 @default.
• W137488774 hasConcept C81299745 @default.
• W137488774 hasConcept C86803240 @default.
• W137488774 hasConceptScore W137488774C111335779 @default.
• W137488774 hasConceptScore W137488774C114614502 @default.
• W137488774 hasConceptScore W137488774C119599485 @default.
• W137488774 hasConceptScore W137488774C127413603 @default.
• W137488774 hasConceptScore W137488774C14036430 @default.
• W137488774 hasConceptScore W137488774C154945302 @default.
• W137488774 hasConceptScore W137488774C195975749 @default.
• W137488774 hasConceptScore W137488774C2524010 @default.
• W137488774 hasConceptScore W137488774C2776214188 @default.
• W137488774 hasConceptScore W137488774C33923547 @default.
• W137488774 hasConceptScore W137488774C41008148 @default.
• W137488774 hasConceptScore W137488774C42011625 @default.
• W137488774 hasConceptScore W137488774C42812 @default.
• W137488774 hasConceptScore W137488774C47822265 @default.
• W137488774 hasConceptScore W137488774C5263885 @default.
• W137488774 hasConceptScore W137488774C58166 @default.
• W137488774 hasConceptScore W137488774C78458016 @default.
• W137488774 hasConceptScore W137488774C81299745 @default.
• W137488774 hasConceptScore W137488774C86803240 @default.
• W137488774 hasLocation W1374887741 @default.
• W137488774 hasOpenAccess W137488774 @default.
• W137488774 hasPrimaryLocation W1374887741 @default.
• W137488774 hasRelatedWork W1955070356 @default.
• W137488774 hasRelatedWork W2000997234 @default.
• W137488774 hasRelatedWork W2026253030 @default.
• W137488774 hasRelatedWork W2348012979 @default.
• W137488774 hasRelatedWork W2350536547 @default.
• W137488774 hasRelatedWork W2385420817 @default.
• W137488774 hasRelatedWork W2386815294 @default.
• W137488774 hasRelatedWork W2565074788 @default.
• W137488774 hasRelatedWork W3037938814 @default.
• W137488774 hasRelatedWork W4324118884 @default.
• W137488774 isParatext "false" @default.
• W137488774 isRetracted "false" @default.
• W137488774 magId "137488774" @default.
• W137488774 workType "book-chapter" @default.