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We present some construction methods to obtain fuzzy implications on a bounded lattice L via two implications defined on sub-intervals of the bounded lattice L. Then, we take a step further this idea to produce fuzzy implications via given three implications. Moreover, many illustrative examples are included.

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Implication Construction Methods on Bounded Lattices

  • 会议论文

  • 发表日期：

    2025年

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  • Ümıt Ertuğrul,
  • Funda Karaçal,
  • Kübra Karacaır

摘要

We present some construction methods to obtain fuzzy implications on a bounded lattice L via two implications defined on sub-intervals of the bounded lattice L. Then, we take a step further this idea to produce fuzzy implications via given three implications. Moreover, many illustrative examples are included.