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2002 | 12 | 3 | 383-390
Tytuł artykułu

Imposing restrictions on density functions utilised in computing with words

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Applying the generalised extension principle within the area of Computing with Words typically leads to complex maximisation problems. If distributed quantities-such as, e.g., size distributions within human populations-are considered, density functions representing these distributions become involved. Very often the optimising density functions do not resemble those found in nature; for instance, an optimising density function could consist of two single Dirac pulses positioned near the opposite bounds of the interval limiting the possible values of the quantity considered. Therefore, in this article, density functions with certain shapes which enable us to overcome this lack of resemblance are considered. Furthermore, some considerations on solving the resulting maximisation problems are reported.
Rocznik
Tom
12
Numer
3
Strony
383-390
Opis fizyczny
Daty
wydano
2002
otrzymano
2002-03-01
poprawiono
2002-06-01
Twórcy
  • Faculty of Electrical Engineering, Chair of Computer Engineering, Fernuniversität Hagen, 58084 Hagen, Germany
Bibliografia
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  • Gemeinder M. (2000): Fuzzy constraint propagation with evolutionary algorithms. - Proc. East West Fuzzy Colloquium, HS Zittau Gorlitz, Germany, pp. 196-203.
  • Gemeinder M. (2001a): Restricted density functions for approximate reasoning on distributed quantities. - Proc. 9th Zittau Fuzzy Colloquium, HS ZittauGorlitz, Germany, pp. 29-35.
  • Gemeinder M. (2001B): Computing with words: Multi-objective GAs for approximate reasoning, In: Computational Intelligence, Theory and Applications, Proc. 7th Fuzzy Days, LNCS 2206 (B. Reusch, Ed.) - Berlin: Springer Verlag.
  • Hermann M. (2001): Numerische Mathematik. - Munchen: Oldenbourg Wissenschaftsverlag.
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  • Pohlheim H. (1999): Evolutionare Algorithmen: Verfahren, Operatoren und Hinweise fur die Praxis. - Berlin: Springer Verlag.
  • Pozrikidis C. (1998): Numerical Computation in Science and Engineering. - Oxford: Oxford University Press, Inc.
  • Zadeh L. A. (1979): A theory of approximate reasoning. -Machine Intell., Vol. 9, pp. 149-194.
  • Zadeh L. A. (1999): From computing with numbers to computing with words - From manipulation of measurements to manipulation of perceptions. - IEEE Trans. Circ. Syst., Vol. 45, No. 1, pp. 105-119.
  • Zadeh L. A. (2001a): The Robert Example. - BISC Mailing-list, March 2001.
  • Zadeh L. A. (2001b): A new direction in AI - Towards a computational theory of perceptions. - 7th Fuzzy Days in Dortmund, Germany, Invited Lecture.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv12i3p383bwm
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