FUZZY IMPLICATIVE IDEALS OF SHEFFER STROKE BG-ALGEBRAS

Tahsin Oner, Tugce Kalkan, Tugce Katican, Akbar Rezaei

DOI Number
https://doi.org/10.22190/FUMI210211068O
First page
913
Last page
926

Abstract


In this paper, Sheffer stroke BG-algebra is given. After determining a fuzzy ideal of Sheffer stroke BG-algebra, some properties are presented. Then a fuzzy implicative and a sub-implicative ideals of a Sheffer stroke BG-algebra are described. Morever, an implicative Sheffer stroke BG-algebra and a medial Sheffer stroke BG-algebra are defined and it is expressed that every medial Sheffer stroke BG-algebra is an implicative Sheffer stroke BG-algebra. Also, a fuzzy (completely) closed ideal and a fuzzy p-ideal are determined. Finally, the relationships between these structures are shown

Keywords

Sheffer stroke BG-algebra, fuzzy ideal, fuzzy implicative ideal, fuzzy sub-implicative ideal.

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References


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DOI: https://doi.org/10.22190/FUMI210211068O

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