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Relating adjoint negations with strong adjoint negations

Authors: Cornejo, M.E.; Esteva, Francesc; Medina, Jesús; Ramírez Poussa, E.;

Relating adjoint negations with strong adjoint negations

Abstract

[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.

Peer reviewed

Keywords

weak and strong negations, Adjoint triples, residuated negations, adjoint triples, Residuated negations, Weak and strong negations

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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