Ideals of Subtraction Algebras
نویسندگان
چکیده
We introduce the notion of interval-valued fuzzy bi-ideals with respect to t-norm T ∗ and s-norm S∗ and investigate some of the properties. Also, the homomorphism image and inverse image are investigated. Mathematics Subject Classification: 06F35, 03G25, 03E72
منابع مشابه
New Classes of Ideals in Subtraction Algebras
In [4] B. M. Schein considered systems of the form ( ; o; n),where is a set of functions closed under the composition "o" of functions (and hence ( ; o) is a function semigroup) and the set theoretic subtraction "n" (and hence is a subtraction algebra in the sense of [1]). He proved that every subtraction semigroup is isomorphic to a di erence semigroup of invertible functions. B. Zelinka [5] d...
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In this paper, we introduce the notions of (∈,∈ ∨ q)-N -ideals and (γ, δ)-N -ideals of subtraction algebras, which are generalization of N -ideals. Some characterization for these generalized N -ideals are derived. Also, we introduce the notions of (∈,∈ ∨ q)-N -ideals and N -ideals with thresholds of subtraction algebras. The characterization of N -ideals with thresholds by their closed (f, t)-...
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