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The Intrinsic Characterization of a Fuzzy Consistently Connected Domain

Author

Listed:
  • Chongyun Zhao

    (School of Mathematics and Statistics, Huaibei Normal University, Huaibei 235000, China)

  • Guanghao Jiang

    (School of Mathematics and Statistics, Huaibei Normal University, Huaibei 235000, China)

Abstract

The concepts of a fuzzy connected set (fc set) and a fuzzy consistently connected set (fcc set) are introduced on fuzzy posets, along with a discussion of their basic properties. Inspired by some equivalent conditions of crisp connected sets, the characterizations of the fc sets are given, and we also explore fuzzy completeness and fuzzy compactness in addition to defining a new fuzzy way-below relation based on fcc complete sets. Using this relationship as a basis, the fcc domain is also provided and studied, and its equivalent characterizations are obtained. In summary, we develop a method to establish fcc completeness from a continuous poset.

Suggested Citation

  • Chongyun Zhao & Guanghao Jiang, 2024. "The Intrinsic Characterization of a Fuzzy Consistently Connected Domain," Mathematics, MDPI, vol. 12(13), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1945-:d:1420486
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