Generalized Fuzzy k-Ideals of Semirings with Interval-Valued Membership Functions
Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 3
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The concept of quasi-coincidence of an interval-valued fuzzy set is considered. By using this new idea, the notion of interval-valued ( α , β )-fuzzy k -ideals of semirings is introduced, which is a generalization of a fuzzy k -ideal. Also some related properties are studied and in particular, the interval-valued (∈, ∈ ∨ q )-fuzzy k -ideals in a semiring will be investigated. Finally, the concept of implication-based interval-valued fuzzy k -ideals and its basic properties in logical view are considered.
Classification :
08A72, 16Y60.
@article{BMMS_2009_32_3_a12,
author = {Hossein Hedayati},
title = {Generalized {Fuzzy} {k-Ideals} of {Semirings} with {Interval-Valued} {Membership} {Functions}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2009},
volume = {32},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2009_32_3_a12/}
}
Hossein Hedayati. Generalized Fuzzy k-Ideals of Semirings with Interval-Valued Membership Functions. Bulletin of the Malaysian Mathematical Society, Tome 32 (2009) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2009_32_3_a12/