Characterizing Ordered Semigroups by Means of Intuitionistic Fuzzy Bi-ideals

In this paper, we endow set S with the structure of an ordered semigroup and define “intuitionistic fuzzy” analogous for several notions that have been proved to be useful in the theory of ordered semigroups and give some equivalent conditions of these definitions. Then we characterize the completel...

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Detalles Bibliográficos
Autores: Hong, Yongfa, Xu, Ruiping, Fang, Xianwen
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099/10923
Acceso en línea:https://hdl.handle.net/2099/10923
Access Level:acceso abierto
Palabra clave:Semigroups
Semigrups
Classificació AMS::20 Group theory and generalizations::20M Semigroups
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
Descripción
Sumario:In this paper, we endow set S with the structure of an ordered semigroup and define “intuitionistic fuzzy” analogous for several notions that have been proved to be useful in the theory of ordered semigroups and give some equivalent conditions of these definitions. Then we characterize the completely regular and the strongly regular ordered semigroups by means of intuitionistic fuzzy bi-ideals.