On the Decomposition of Fuzzy Functions

  • Authors:
  • A. Kandel

  • Affiliations:
  • Department of Computer Science, New Mexico Institute of Mining and Technology

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1976

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Abstract

An algorithm for obtaining simple disjunctive decompositions of fuzzy functions is described. The insufficiency of Boolean methods for simplification of fuzzy functions is discussed. Special properties of the decomposed fuzzy structures are introduced and their relationships to two-valued logic are investigated. This new algorithm is the first one in a containing research in the area of multivalued and fuzzy decompositions of complex systems.