On lattice structure and implications on ordered fuzzy numbers

نویسندگان

  • Magdalena Kacprzak
  • Witold Kosinski
چکیده

Ordered fuzzy numbers (OFN) invented by the second author and his two coworkers in 2002 make possible to utilize the fuzzy arithmetic and to construct the Abelian group of fuzzy numbers and then an ordered ring. The definition of OFN uses the extension of the parametric representation of convex fuzzy numbers. Fuzzy implication is proposed with the help of algebraic operations and a lattice structure defined on OFN.

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تاریخ انتشار 2011