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A novel Z-soft rough fuzzy $$\textit{BCI}$$BCI-algebras (ideals) of $$\textit{BCI}$$BCI-algebras

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In this paper, the notion of Z-soft rough fuzzy BCI-algebras (ideals) is introduced, which is an extended notion of soft rough BCI-algebras (ideals) and rough fuzzy BCI-algebras (ideals). In this… Click to show full abstract

In this paper, the notion of Z-soft rough fuzzy BCI-algebras (ideals) is introduced, which is an extended notion of soft rough BCI-algebras (ideals) and rough fuzzy BCI-algebras (ideals). In this paper, we first apply Z-soft rough fuzzy sets to BCI-algebras. Moreover, we study roughness in BCI-algebras with respects to a Z-soft approximation space. Some new Z-soft rough fuzzy operations over BCI-algebras are explored. In particular, Z-lower and Z-upper soft rough fuzzy BCI-algebras (ideals) are investigated.

Keywords: bci algebras; soft rough; textit bci; rough fuzzy; bci; algebras ideals

Journal Title: Soft Computing
Year Published: 2018

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