Article ID Journal Published Year Pages File Type
6855909 Fuzzy Sets and Systems 2018 20 Pages PDF
Abstract
Fuzzy (frame-valued) ordered semigroups are investigated with the orders being L-partial orders. In this framework, L-left (resp. L-right) ideals, L-bi-ideals and L-quasi-ideals of an L-ordered semigroup are discussed, the idea of which is applied to the characterizations of regular and duo L-ordered semigroups. In addition, the relationship between an L-ordered semigroup and an L-topological semigroup is studied. As a consequence, an isomorphism between the category of L-ordered semigroups and the category of L-topological semigroups with the topologies being L-T0 and Alexandrov is obtained.
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Physical Sciences and Engineering Computer Science Artificial Intelligence
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