Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations

  • Authors:

  • Barnabás Bede;Sorin G. Gal

  • Affiliations:

  • Department of Mathematics, University of Oradea, Str. Armatei Romane no. 5, 410087 Oradea, Romania;Department of Mathematics, University of Oradea, Str. Armatei Romane no. 5, 410087 Oradea, Romania

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2005

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Abstract

The usual concept of differentiability of fuzzy-number-valued functions, has the following shortcoming: if c is a fuzzy number and g:[a,b]-R is an usual real-valued function differentiable on x"0@?(a,b) with g^'(x"0)=