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Fuzzy pretopology can be defined on a set in several ways. This paper demonstrates the equivalence of these various approaches. The concepts from crisp pretopology are extended to fuzzy pretopology, and additionally, the properties of continuity and connectedness are examined.

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Fuzzy Pretopology: Equivalent Constructions and Properties

  • 会议论文

  • 发表日期：

    2026年

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  • Minakshi Biswas Hathiwala

摘要

Fuzzy pretopology can be defined on a set in several ways. This paper demonstrates the equivalence of these various approaches. The concepts from crisp pretopology are extended to fuzzy pretopology, and additionally, the properties of continuity and connectedness are examined.