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Some characterizations of S-α fuzzy semigroups by their S-α level subgroups are obtained. S-α fuzzy semigroups which have an identical family of S-α level subgroups are discussed. It is also derived a necessary and sufficient condition for two S-α fuzzy semigroups with an identical family of S-α level subgroups to be equal. Mathematical Subject Classification: 03E72, 08A72, 20N25.
Rosane Cavalcante Fragoso, Brasil
Chief Scientific Officer and Head of a Research Group
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