r-(i, j)-fuzzy regular semi open sets in smooth bitopological spaces

다국어 초록 (Multilingual Abstract)

In this paper, we introduce and study the concept of $r$-$(i, j)$-fuzzy regular semi open (closed) sets in smooth bitopological spaces. By using $r$-$(i, j)$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-$(i, j)$-fuzzy regular semi interior (closure) operator. Also, we introduce FP-regular semi continuous and FP-regular semi irresolute mappings. Moreover, we investigate the relationship among FP-regular semi continuous and FP-regular semi irresolute mappings. Finally, we have given some counter examples to show that these types of mappings are not equivalent.

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