ps-ro \beta-Open (Closed) Fuzzy Sets and Related Fuzzy Function and Continuity
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_SCMA-19-3_006
تاریخ نمایه سازی: 28 آبان 1401
Abstract:
In this paper, the notion of ps-ro \beta-open (closed) fuzzy sets on a fuzzy topological space(fts) has been introduced as a new tool to study fts, the properties of these sets are investigated and shown to be unrelated to the common concept of fuzzy \beta-open (closed) sets. Based on these fuzzy sets, ps-ro fuzzy \beta-continuity and ps-ro fuzzy \beta-open (closed) functions are proposed and they are also found to be different from the idea of fuzzy \beta-continuous and fuzzy \beta-open (closed) functions, respectively. Further, their characterizations and relationships with existing allied concepts are investigated.
Keywords:
Fuzzy beta-open , Pseudo regular open fuzzy topology , ps-ro beta-open(closed) fuzzy sets , ps-ro fuzzy beta-continuity , ps-ro fuzzy beta-open(closed) function
Authors
Pankaj Chettri
Department of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.
Gaurav Thapa
Department of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.
Anamika Chettri
Department of Mathematics, Sikkim Manipal Institute of Technology Sikkim Manipal University, Sikkim, India.
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