Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI-Algebras
Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 3
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The notion of bipolar fuzzy subalgebras and bipolar fuzzy ideals of a BCK/BCI-algebra is introduced, and several properties are investigated. Relations between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal are given. A condition for bipolar fuzzy subalgebra to be a bipolar fuzzy ideal is provided, and the characterizations of a bipolar fuzzy ideal are stated. The concept of equivalence relations on the family of all bipolar fuzzy ideals of a BCK/BCI-algebra is considered, and some related properties are discussed.
Classification :
06F35, 03G25, 08A72.
@article{BMMS_2009_32_3_a9,
author = {Kyoung Ja Lee},
title = {Bipolar {Fuzzy} {Subalgebras} and {Bipolar} {Fuzzy} {Ideals} of {BCK/BCI-Algebras}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2009},
volume = {32},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2009_32_3_a9/}
}
Kyoung Ja Lee. Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI-Algebras. Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2009_32_3_a9/