On Fuzzy Regularly Closed Filters in Michálek Fuzzy Topological Space  

作　　者：Puthenpurackal Ratnakumar Neethu Bloomy Joseph Puthenpurackal Ratnakumar Neethu;Bloomy Joseph(Department of Mathematics, Rajagiri School of Engineering & Technology, Cochin, India;Mahatma Gandhi University, Kerala, India;Government Arts and Science College, Thrissur, India)

机构地区：[1]Department of Mathematics, Rajagiri School of Engineering & Technology, Cochin, India [2]Mahatma Gandhi University, Kerala, India [3]Government Arts and Science College, Thrissur, India

出　　处：《Advances in Pure Mathematics》2024年第10期779-784,共6页理论数学进展（英文）

摘　　要：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 FRCM filters, within Michálek’s fuzzy topological space and explores some properties of FRCM ultrafilters.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 FRCM filters, within Michálek’s fuzzy topological space and explores some properties of FRCM ultrafilters.

关 键 词：TOPOLOGY Fuzzy Topology Michálek’s Fuzzy Topological Space Fuzzy Closed Fuzzy Open FILTERS 

分 类 号：O15[理学—数学]