This article examines the evolution of fuzzy topological spaces (FTS), starting with C.L. Chang’s foundational work in 1968, which established a parallel framework to classical topology. Building on Chang’s ideas, subsequent researchers have aimed to extend conventional topological concepts into fuzzy settings. A significant contribution came in 1975 from J. Michálek, who proposed a broader interpretation of FTS that diverges from Chang’s formulation. While Michálek’s model has attracted less attention, it presents distinct features that merit further exploration. This study introduces the concept of Fuzzy Absolutes within Michálek’s FTS ( \(F_{M}\) -Absolutes) and utilizes Fuzzy Regularly Closed Filters in this context ( \(FRC_{M}\) Filters).

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A Study on  \(F_M\) Absolutes

  • P. R. Neethu,
  • Bloomy Joseph

摘要

This article examines the evolution of fuzzy topological spaces (FTS), starting with C.L. Chang’s foundational work in 1968, which established a parallel framework to classical topology. Building on Chang’s ideas, subsequent researchers have aimed to extend conventional topological concepts into fuzzy settings. A significant contribution came in 1975 from J. Michálek, who proposed a broader interpretation of FTS that diverges from Chang’s formulation. While Michálek’s model has attracted less attention, it presents distinct features that merit further exploration. This study introduces the concept of Fuzzy Absolutes within Michálek’s FTS ( \(F_{M}\) -Absolutes) and utilizes Fuzzy Regularly Closed Filters in this context ( \(FRC_{M}\) Filters).