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On Fuzzy Regularly Closed Filters in Michálek Fuzzy Topological Space
Department of Mathematics, Rajagiri School of Engineering & Technology, Cochin, India
Government Arts and Science College, Thrissur, India
Mahatma Gandhi University, Kerala, India
- 1 Department of Mathematics, Rajagiri School of Engineering & Technology, Cochin, India
- 2 Government Arts and Science College, Thrissur, India
- 3 Mahatma Gandhi University, Kerala, India
Advances in Pure Mathematics·Volume 14 (2024)·Pages 779–784·Published 29 October 2024·DOI10.4236/apm.2024.1410042
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Abstract
C.L. Chang’s introduction of fuzzy topology in 1981 opened up new avenues for parallel theories in topology. However, Chang’s work appears to focus more on the topology of fuzzy sets rather than fuzzy topology itself. In 1975, Michálek presented a functional definition of ordinary topology and later developed fuzzy topology as a distinct extension of this idea, setting it apart from Chang’s approach. While there has been significant research on Chang’s fuzzy topology, Michálek’s version has not received as much attention. This paper introduces the concept of fuzzy regularly closed filters, or FRC M filters, within Michálek’s fuzzy topological space and explores some properties of FRC M ultrafilters.
KeywordsTopologyFuzzy TopologyMichálek’s Fuzzy Topological SpaceFuzzy ClosedFuzzy OpenFilters
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