Translations of intuitionistic fuzzy soft structure of B-algebras

Authors :

M. Balamurugan ^1* , G. Balasubramanian ² and C. Ragavan³

Author Address :

^1,3 Department of Mathematics, Sri Vidya Mandir Arts and Science College, Krishnagiri-636 902, Tamil Nadu, India.
²Department of Mathematics, Government Arts College (Men), Krishnagiri-635 001, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, the idea of intuitionistic fuzzy soft subalgebras, intuitionistic fuzzy soft ideals, and intuitionistic fuzzy soft a-ideals of B-algebra are introduced with many associated properties interrogated. In connection to the intuitionistic fuzzy soft set theory, translations, extensions, and multiplications of intuitionistic fuzzy soft subalgebras, intuitionistic fuzzy ideals, and intuitionistic fuzzy a-ideals are introduced. Interconnected with intuitionistic fuzzy soft translations, intuitionistic fuzzy soft extensions, and intuitionistic fuzzy soft multiplications of intuitionistic fuzzy soft subalgebras, intuitionistic fuzzy soft ideals, and intuitionistic fuzzy soft a-ideals are investigated.

Keywords :

B-algebra, IF soft subalgebra, IF soft ideal, IF soft a-ideal, IF soft translation, IF soft extension, IF soft multiplication.

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