72
Views
28
CrossRef citations to date
0
Altmetric
Articles

Fuzzy representations need a careful design

&
Pages 329-346 | Received 02 Mar 2009, Accepted 03 Jun 2009, Published online: 05 Mar 2010

References

  • Black , M. 1963 . Reasoning with loose concepts . Dialogue , 2 : 1 – 12 .
  • Cordón , O. , Herrera , F. and Peregrín , A. 1997 . Applicability of the fuzzy operators in the design of fuzzy logic controllers . Fuzzy sets and systems , 86 ( 1 ) : 15 – 41 .
  • Driankov , D. , Hellendoorn , H. and Reinfrank , M. 1996 . An introduction to fuzzy control , Heidelberg : Springer .
  • Du , X. , Zhang , N. and Ying , H. 2007 . Structure analysis and system design for a class of Mamdani fuzzy controllers . International journal of general systems , 99999 ( 1 ) : 1 – 1 .
  • Dubois , D. and Prade , H. 1996 . What are fuzzy rules and how to use them . Fuzzy sets and systems , 84 ( 2 ) : 169 – 185 .
  • Gottwald , S. 2007 . Foundations of a set theory for fuzzy sets. 40 years of development . International journal of general systems , 99999 ( 1 ) : 1 – 1 .
  • Guadarrama , S. 2002 . “ A step towards conceptually improving Takagi–Sugeno approximation ” . In Proceedings IPMU'2002 , 1789 – 1794 . Annecy, France : Université de Savoie .
  • Guadarrama , S. , Renedo , E. and Trillas , E. 2006 . “ Some fuzzy counterparts of the language uses of And and Or ” . In Computational intelligence: theory and practice , Vol. 164 of studies in fuzziness and soft computing Edited by: Reusch , B. 335 – 352 . New York : Springer .
  • Klir , G.J. and Yuan , B. 1995 . Fuzzy sets and fuzzy logic , Upper Saddle River, NJ : Prentice Hall PTR .
  • Moraga , C. , Trillas , E. and Guadarrama , S. 2003 . Multiple-valued logic and artificial intelligence: fundamentals of fuzzy control revisited . Artificial intelligence review , 20 ( 3–4 ) : 169 – 197 .
  • Pedrycz , W. 1992 . Fuzzy control and fuzzy systems , Taunton : Research Studies Publication .
  • Trillas , E. 1979 . Sobre funciones de negación en la teoría de conjuntos difusos . Stochastica , 3 ( 1 ) : 47 – 59 . (In Spanish). Reprinted (English version) in Advances of Fuzzy Logic (S. Barro et al., eds.), 31–43. Press of the Universidad de Santiago de Compostela, 1998
  • Trillas , E. 2008a . On some features of fuzzy logic , New York : Institute of Electrical and Electronics Engineers (IEEE) . 60903 ISBN 978-1-4244-2352-1
  • Trillas , E. 2008b . “ Why do fuzzy representation need a careful design? ” . In Computational intelligence in decision and control. Proceedings of 8th international FLINS conference , Edited by: Kerre , E.E. , Ruan , D. , D'Hondt , P. , Martinez , L. and Montero , J. 189 – 204 . Madrid, Spain : World Scientific .
  • Trillas , E. and Alsina , C. 2004 . Standard theories of fuzzy sets with the law (μ·σ′)′ =  σ+μ′·σ′ . International journal of approximate reasoning , 37 ( 2 ) : 87 – 92 .
  • Trillas , E. and Guadarrama , S. 2005 . What about fuzzy logic's linguistic soundness? . Fuzzy sets and systems , 156 : 334 – 340 .
  • Trillas , E. and Urtubey , L.A. 2009 . Towards the dissolution of the Sorites paradox . Applied soft computing , (Avalible online, doi:10.1016/j.asoc.2008.01.008)
  • Trillas , E. , Alsina , C. and Pradera , A. 2002 . Searching for the roots of non-contradiction and excluded-middle . International journal of general systems , 31 ( 5 ) : 499 – 513 .
  • Trillas , E. , Alsina , C. and Pradera , A. 2004 . On MPT-implication functions for fuzzy logic . Revista de la Real Academia de Ciencias, Serie A, Mathemáticas , 98 ( 1 ) : 259 – 271 .
  • Trillas, E., et al., 2008. Crisp sets as classes of discontinuous fuzzy sets. Technical report FSC-2008-20, European Centre for Soft Computing (Forthcomming in the International journal of approximate reasoning)
  • Trillas, E., Alsina, C. and Renedo, E., 2009a. On some classical schemes of reasoning in fuzzy logic. Technical report FSC-2009-6. European Centre for Soft Computing
  • Trillas , E. 2009b . Conjecturing from consequences . International journal of general systems , 99999 ( 1 ) : 1 – 1 .
  • Vila-Matas , E. 2004 . Desde la ciudad nerviosa , Barcelona : Alfaguara (In Spanish) .
  • von Neumann , J. 1951 . “ The general and logical theory of automata ” . In Cerebral mechanisms in behavior. The Hixon Symposium , Edited by: Jeffress , L.A. 1 – 41 . New York : Wiley .
  • Wittgenstein , L. 1958 . Philosophical investigations , Oxford : Basil Blackwell .
  • Yamakawa , T. 1988 . High speed fuzzy controller hardware system: the mega FIPS machine . Information sciences , 45 : 113 – 128 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.