[PDF] Top 20 Fuzzy ideals in ordered semigroups and their generalisations

... Rosenfeld’s fuzzy subgroups [4]. The latest advances in the investigation of fuzzy subgroup theory have drawn increasing interest to this class of algebraic ...a fuzzy point [x; t] and a fuzzy ... See full document

... that ordered semigroups by the properties of interval-valued fuzzy set theory have hardly been ...investigate ordered semigroups in terms of interval-valued fuzzy ...to ... See full document

... Proof. i⇒ii Let S be left duo and f an N-fuzzy left ideal of S. Let a, b ∈ S. Then the set Sa is a left ideal of S. In fact, SSa SSa ⊆ SSa ⊆ Sa and if x ∈ Sa and S y ≤ x, then y ∈ Sa Sa. Since S is left duo, then ... See full document

... a fuzzy subset of S (or a fuzzy set in S) is described as an arbitrary mapping f : S → [0,1], where [0,1] is the usual interval of real ...of fuzzy set was introduced by ...of fuzzy groups and ... See full document

... q)-fuzzy ideals of a ...a fuzzy point with a fuzzy set, Jun et ...)-intuitionistic fuzzy bi-ideals in an ordered ...intuitionistic fuzzy bi-ideals, called ... See full document

... of fuzzy sets by Zadeh [20], several researches were conducted on the gener- alizations of the notion of fuzzy set and application to many algebraic structures such as: In 1971, Rosenfeld [15] was the first ... See full document

... an ordered semigroup is a semigroup together with a partial order that is compatible with the semigroup ...operation. Ordered semigroups have many applications in the theory of sequential machines, ... See full document

... μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ -semigroup and we got some interesting ...ordinary fuzzy ideals and fuzzy interior ... See full document

... in ordered Г-semigroups [9], and established the basic properties of ordered Г-semigroups in terms of weakly prime ...maximal ordered bi-ideals in ordered ... See full document

... fully fuzzy prime if and only if it is semisim- ple and its set of fuzzy ideals is totally ...the fuzzy prime right ideals of a semigroup and we prove that if the set of all ... See full document

... The concept of soft set theory was introduced by Molodtsov in [17]. This theory can be used as a generic mathematical tool for dealing with uncertainties. In soft set theory, the problem of setting the membership ... See full document

... ternary semigroups and characterized them by using the notion of quasi ...of ideals in ternary semigroups. The concept of ideals is an interesting and important idea in many algebraic ...of ... See full document

... of fuzzy sets was introduced by Zadeh [23]. Fuzzy set theory is a generalization of set ...the fuzzy set theory have been found in various ...a fuzzy set, sometimes with a view to prove that ... See full document

... a fuzzy set theory was introduced by Zadeh [1] in 1965 while the ideas of fuzzy algebraic structures of groups have begun in the spearheading paper of Rosenfeld [13] in ...of fuzzy subgroups and ... See full document

... ternary semigroups were also studied by some authors, for example, Sioson studied ideals in ternary semigroups ...ternary semigroups [2], Kar and Maity studied congruences of ternary ... See full document

... a fuzzy set µ in S by µ( 1 ) = µ(b) = 0 ...a fuzzy implicative ordered filter, and hence a fuzzy ordered filter of S ...a fuzzy positive implicative ordered filter of S , ... See full document

... flexible fuzzy soft semi groups and itsCartesian product with the help of suitable ...product, ideals and prove some ...flexible fuzzy soft left (respectively right) ideal in semi group and study ... See full document

... It is easy to check that S satisfies the left self-distributive law under ∗ , that is, x ∗ (y ∗ z) = (x ∗ y) ∗ (x ∗ z) for all x, y, z ∈ S. By Lemma 3.9 we have S(x, d) = S(d, x) = S for all x ∈ S . Furthermore we know ... See full document

... Proof. First assume that (1) holds. In order to show that (4) holds, let f S and h S be any SU -left ideals of S and g S be any SU -right ideal of S and a be any element in S. Since S is regular, there exists ... See full document

... Note Several definitions have been given for fuzzy prime ideals.To distinguish between the various definitions we adopt the notation suggested by F.J.Lobillo, O.Cortadellas and G.Navarro[4]. Definition 2.6 (𝑫 𝟎 - ... See full document