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New Construction Machines of Generating Fuzzy Implications

In: Discrete Mathematics and Applications

Author

Listed:
  • Maria N. Rapti

    (Democritus University of Thrace)

  • Basil K. Papadopoulos

    (Democritus University of Thrace)

Abstract

In this paper we present five construction machines of generating fuzzy implications. In these formulas we present some examples by using known fuzzy implications and fuzzy negation as well and increasing function. Through these new formulas, we study the natural propagation of basic properties of given fuzzy implications from the initial ones to the constructed implications. Desirable properties as the left boundary condition (LB), right boundary condition (RB), neutrality property (NP), identity property (IP), and ordering property (OP) are preserved under some minimal conditions in the new fuzzy implications that are created.

Suggested Citation

  • Maria N. Rapti & Basil K. Papadopoulos, 2020. "New Construction Machines of Generating Fuzzy Implications," Springer Optimization and Its Applications, in: Andrei M. Raigorodskii & Michael Th. Rassias (ed.), Discrete Mathematics and Applications, pages 441-458, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-55857-4_18
    DOI: 10.1007/978-3-030-55857-4_18
    as

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