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Simple semi hypergroups
Published 2011“…Some basic properties for this algebraic structure are presented and proved. Three methods for constructing new simple semi hypergroups are also presented.…”
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Some innovative types of fuzzy bi-ideals in ordered semigroups
Published 2015“…An ordered semigroup (algebraic structure) is a semigroup together with a partial order that is compatible with the semigroup operation. …”
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Completely simple and regular semi hypergroups
Published 2012“…Basic properties of these algebraic structures are considered. Some methods for constructing new kinds of these hyperstructures are presented. …”
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New types of intuitionistic fuzzy interior ideals of ordered semigroups
Published 2013“…In many applied disciplines like computer science, coding theory and formal languages, the use of fuzzified algebraic structures play a remarkable role. In this paper, we introduced some new types of generalization of an intuitionistic fuzzy interior ideal, called (a, ß)-intuitionistic interior ideals of an ordered semigroup S. …”
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Some study of (α,β)-fuzzy ideals in ordered semigroups
Published 2012“…Algebraic structures especially an ordered semigroups play a prominent role in mathematics with wide ranging applications in many disciplines such as control engineering, computer arithmetics, coding theory, sequential machines and formal languages. …”
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f-Grouplikes
Published 2018“…A nice example for associative function,$f$-multiplication and such algebraic structures are $b$-decimal part functions$(\; )_b$, $b$-addition $+_b$, and the real $b$-grouplike $(\mathbb{R},+_b)$.In this paper, we introduce an important type of grouplikes (namely $f$-grouplike) that is motivated fromthe both topics. …”
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