Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory | Zendy

G. Muhiuddin | Zendy; Deena Al-Kadi | Zendy; K. P. Shum | Zendy; Abdulaziz M. Alanazi | Zendy

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Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory

Author(s) -

G. Muhiuddin,

Deena Al-Kadi,

K. P. Shum,

Abdulaziz M. Alanazi

Publication year - 2021

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2021/8869931

Subject(s) - fuzzy logic , mathematics , soft set , fuzzy set , point (geometry) , set (abstract data type) , ideal (ethics) , algebra over a field , discrete mathematics , pure mathematics , computer science , artificial intelligence , geometry , philosophy , epistemology , programming language

In the present paper, using Lukaswize triple-valued logic, we introduce the notion of α , β -intuitionistic fuzzy soft ideal of BCK / BCI -algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set. Moreover, intuitionistic fuzzy soft ideals with thresholds are introduced, and their related properties are investigated.

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