P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras | Zendy

Wondwosen Zemene Norahun | Zendy

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P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras

Author(s) -

Wondwosen Zemene Norahun

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 - 10.1155/2021/4561087

Subject(s) - mathematics , fuzzy logic , fuzzy subalgebra , isomorphism (crystallography) , ideal (ethics) , algebra over a field , distributive property , discrete mathematics , fuzzy set , pure mathematics , fuzzy classification , computer science , artificial intelligence , philosophy , chemistry , epistemology , crystal structure , crystallography

In this paper, we introduce the concept of p-fuzzy ideals and p-fuzzy filters in a p-algebra. We provide a set of equivalent conditions for a fuzzy ideal to be a p-fuzzy ideal and a p-algebra to be a Boolean algebra. It is proved that the class of p-fuzzy ideals forms a complete distributive lattice. Moreover, we show that there is an isomorphism between the class of p-fuzzy ideals and p-fuzzy filter.

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