Calculus with fuzzy numbers

  • Authors:
  • Witold Kosiński;Piotr Prokopowicz;Dominik Ślęzak

  • Affiliations:
  • Polish-Japanese Institute of Information Technology, Research Center, Warsaw, Poland;Institute of Fundamental Technological Research, PAS (IPPT PAN), Warsaw, Poland;Polish-Japanese Institute of Information Technology, Research Center, Warsaw, Poland

  • Venue:
  • IMTCI'04 Proceedings of the Second international conference on Intelligent Media Technology for Communicative Intelligence
  • Year:
  • 2004

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Abstract

Algebra of ordered fuzzy numbers (OFN) is defined to handle with fuzzy inputs in a quantitative way, exactly in the same way as with real numbers. Additional two structures: algebraic and normed (topological) are introduced to define a general form of defuzzyfication operators. A useful implementation of a Fuzzy Calculator allows counting with the general type membership relations.