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

Ghulam Muhiuddin, Madeline Al-Tahan, Ahsan Mahboob, Sarka Hoskova-Mayerova and Saba Al-Kaseasbeh
Additional contact information
Ghulam Muhiuddin: Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Madeline Al-Tahan: Department of Mathematics and Statistics, Abu Dhabi University, Abu Dhabi P.O. Box 15551, United Arab Emirates
Ahsan Mahboob: Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle 517325, India
Sarka Hoskova-Mayerova: Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 662 10 Brno, Czech Republic
Saba Al-Kaseasbeh: Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan

Mathematics, 2022, vol. 10, issue 12, 1-11

Abstract: In this paper, we apply the concept of linear Diophantine fuzzy sets in B C K / B C I -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.

Keywords: BCI -algebra; BCK -algebra; linear Diophantine fuzzy set ( LDFS ); LDF -subalgebra; LDF -ideal; LDF -commutative ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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