TY - JOUR
T1 - An a-ideal of BCI-Algebras in connection with multipolar fuzzy sets
AU - Takallo, M. Mohseni
AU - Borzooei, Rajab Ali
AU - Jun, Young Bae
AU - Ahn, Sun Shin
N1 - Publisher Copyright:
© 2021 World Scientific Publishing Company.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - The notion of a k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (∈ ,∈)-fuzzy a-ideal are provided. The relationship between k-polar (∈ ,∈)-fuzzy p-ideal, k-polar (∈ ,∈)-fuzzy q-ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is shown. The normal k-polar (∈ ,∈)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (∈ ,∈)-fuzzy a-ideal are discussed.
AB - The notion of a k-polar (∈, ∈)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between k-polar fuzzy subalgebra, k-polar fuzzy ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is examined. Conditions for a k-polar fuzzy ideal to be a k-polar (∈ ,∈)-fuzzy a-ideal are provided. The relationship between k-polar (∈ ,∈)-fuzzy p-ideal, k-polar (∈ ,∈)-fuzzy q-ideal, and k-polar (∈ ,∈)-fuzzy a-ideal is shown. The normal k-polar (∈ ,∈)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of a k-polar (∈ ,∈)-fuzzy a-ideal are discussed.
KW - (normal) k-polar (∈, ∈)-fuzzy a-ideal
KW - K-polar (∈, ∈)-fuzzy p-ideal
KW - k-polar (∈, ∈)-fuzzy q-ideal
KW - K-polar fuzzy ideal
KW - K-polar fuzzy subalgebra
UR - http://www.scopus.com/inward/record.url?scp=85103438506&partnerID=8YFLogxK
U2 - 10.1142/S1793005721500277
DO - 10.1142/S1793005721500277
M3 - Article
AN - SCOPUS:85103438506
SN - 1793-0057
VL - 17
SP - 553
EP - 570
JO - New Mathematics and Natural Computation
JF - New Mathematics and Natural Computation
IS - 3
ER -