On fuzzy number calculus and some application

  • Authors:
  • Witold Kosiński

  • Affiliations:
  • Polish-Japanese Institute of Information Technology, Research Center, Warsaw, Poland

  • Venue:
  • ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
  • Year:
  • 2006

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Abstract

The concept of ordered fuzzy numbers (OFN) is revised in order to handle with general fuzzy inputs in a quantitative way, exactly in the same way as with real numbers. Referring to α cuts and interval arithmetic method the algebraic structure is introduced to allow counting with more general type of membership curves (relations). Application is given to a problem of economics and finance in which fuzzy equation appears.