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22.02.2020 | Methodologies and Application

Applications of fuzzy \(\rho \)-ideals in \(\rho \)-algebras

verfasst von: Shuker Mahmood Khalil, Fatima Hameed

Erschienen in: Soft Computing | Ausgabe 18/2020

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Abstract

Some new notions of fuzzy algebras like fuzzy \(\rho \)-subalgebra, fuzzy \(\rho \)-ideal, and fuzzy \({\overline{\rho }}\)-ideal are introduced in this work. Moreover, the relationships between our new notions and other types of fuzzy algebras like fuzzy d-subalgebra, fuzzy d-ideal, fuzzy BCK-subalgebra, and fuzzy BCK-ideal are investigated. Also, some basic characterizations of fuzzy \(\rho \)-ideal with their applications on images, Cartesian product, upper level, characteristic function, and strongest fuzzy relation are studied and discussed in this paper. Furthermore, several examples are presented to expound our notions in this work.

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Titel: Applications of fuzzy -ideals in -algebras
verfasst von: Shuker Mahmood Khalil
Fatima Hameed
Publikationsdatum: 22.02.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 18/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-020-04773-3

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