Fuzzy Annihilator Ideals of  C -Algebra | Zendy

Wondwosen Zemene Norahun | Zendy; Teferi Getachew Alemayehu | Zendy; Gezahagne Mulat Addis | Zendy

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Fuzzy Annihilator Ideals of

C

-Algebra

Author(s) -

Wondwosen Zemene Norahun,

Teferi Getachew Alemayehu,

Gezahagne Mulat Addis

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 - 10.1155/2021/7481960

Subject(s) - annihilator , mathematics , fuzzy logic , homomorphism , class (philosophy) , algebra over a field , ideal (ethics) , pure mathematics , discrete mathematics , computer science , artificial intelligence , philosophy , epistemology

In this paper, we introduce the concept of relative fuzzy annihilator ideals in C-algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C-algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a complete Boolean algebra. Moreover, we study the concept of fuzzy annihilator preserving homomorphism. We provide a sufficient condition for a homomorphism to be a fuzzy annihilator preserving.

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