Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2020 -> Volume 12, Issue 2
Intuitionistic Fuzzy Soft Set Theoretic Approaches to α-ideals in BCI-algebras
Oleh : Muhammad Touqeer, Fuzzy Information and Engineering
Dibuat : 2021-08-28, dengan 0 file
Keyword : Intuitionistic fuzzy soft sets, intuitionistic fuzzy soft BCI-algebra, intuitionistic fuzzy soft ideal, BCI-algebras, intuitionistic fuzzy soft α-ideal, soft BCI-algebra, soft (δη)-level set
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2020.1751405
Sumber pengambilan dokumen : Web
As an extension of the applications of soft sets in α-ideals of BCI-algebras, we have defined the idea of intuitionistic fuzzy soft α-ideals and proved their basic properties. Intuitionistic fuzzy soft BCI-algebras' and intuitionistic fuzzy soft ideals' have been described with the help of concrete examples. We proved that any IFSI of a BCK-algebra is an intuitionistic fuzzy soft BCK-algebra' (IFSBCKA). Afterwards we have proceeded towards the detail discussion of IFSαIs. The notion of intuitionistic fuzzy soft α-ideals in BCI-algebras is presented, the corresponding properties are proved and concrete applications are given. Connections between various types of intuitionistic fuzzy soft α-ideals and intuitionistic fuzzy soft ideals are described. Intuitionistic fuzzy soft α-ideals are characterised using the idea of soft (δ, η)-level set.
Deskripsi Alternatif :As an extension of the applications of soft sets in α-ideals of BCI-algebras, we have defined the idea of intuitionistic fuzzy soft α-ideals and proved their basic properties. Intuitionistic fuzzy soft BCI-algebras' and intuitionistic fuzzy soft ideals' have been described with the help of concrete examples. We proved that any IFSI of a BCK-algebra is an intuitionistic fuzzy soft BCK-algebra' (IFSBCKA). Afterwards we have proceeded towards the detail discussion of IFSαIs. The notion of intuitionistic fuzzy soft α-ideals in BCI-algebras is presented, the corresponding properties are proved and concrete applications are given. Connections between various types of intuitionistic fuzzy soft α-ideals and intuitionistic fuzzy soft ideals are described. Intuitionistic fuzzy soft α-ideals are characterised using the idea of soft (δ, η)-level set.
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