Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras

Autor: Ghulam Muhiuddin, Madeline Al-Tahan, Ahsan Mahboob, Sarka Hoskova-Mayerova, Saba Al-Kaseasbeh
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 10, Iss 12, p 2138 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math10122138
Popis: In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. In this respect, the notions of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are introduced and some vital properties are discussed. Additionally, characterizations of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are considered. Moreover, the associated results for linear Diophantine fuzzy subalgebras, linear Diophantine fuzzy ideals and linear Diophantine fuzzy commutative ideals are obtained.
Databáze: Directory of Open Access Journals
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