Displaying similar documents to “Fuzzy quasi-ideals of ordered semigroups.”

Fuzzy ideals in BE-algebras.

Song, Seok Zun, Jun, Young Bae, Lee, Kyoung Ja (2010)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Rough semigroups and rough fuzzy semigroups based on fuzzy ideals

Qiumei Wang, Jianming Zhan (2016)

Open Mathematics

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In this paper, we firstly introduce a special congruence relation U(μ, t) induced by a fuzzy ideal μ in a semigroup S. Then we define the lower and upper approximations based on a fuzzy ideal in semigroups. We can establish rough semigroups, rough ideals, rough prime ideals, rough fuzzy semigroups, rough fuzzy ideals and rough fuzzy prime ideals according to the definitions of rough sets and rough fuzzy sets. Furthermore, we shall consider the relationships among semigroups and rough...