New Construction Machines of Generating Fuzzy Implications

Maria N. Rapti () and Basil K. Papadopoulos ()
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Maria N. Rapti: Democritus University of Thrace
Basil K. Papadopoulos: Democritus University of Thrace

A chapter in Discrete Mathematics and Applications, 2020, pp 441-458 from Springer

Abstract: 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.

Keywords: Fuzzy implication; Neutrality property; Ordering property; Increasing function (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-55857-4_18

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DOI: 10.1007/978-3-030-55857-4_18

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