Relating adjoint negations with strong adjoint negations

[EN]Adjoint negations, whose definition is based on the implications of an adjoint triple, arise as a generalization of residuated negations. Recently, interesting properties of these negation operators have been introduced [5]. In this paper, a comparative survey with weak negations studied by Tril...

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Detalles Bibliográficos
Autores: Cornejo, M.E., Esteva, Francesc, Medina, Jesús, Ramírez Poussa, E.
Tipo de recurso: otro
Estado:Versión aceptada para publicación
Fecha de publicación:2015
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/248331
Acceso en línea:http://hdl.handle.net/10261/248331
Access Level:acceso abierto
Palabra clave:Residuated negations
Adjoint triples
Weak and strong negations
Descripción
Sumario:[EN]Adjoint negations, whose definition is based on the implications of an adjoint triple, arise as a generalization of residuated negations. Recently, interesting properties of these negation operators have been introduced [5]. In this paper, a comparative survey with weak negations studied by Trillas, Esteva and Domingo [10, 13] is presented. Moreover, the relationship between weak and strong negations, introduced by these authors, is extended to adjoint negations. These technical developments lead us to increase the number of applications of adjoint negations.