Paraconsistent fuzzy logic preserving non-falsity

Avron, Arnon

doi:10.1016/j.fss.2014.07.001

Cited by 4 publications

(3 citation statements)

References 5 publications

(9 reference statements)

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“…However, in many-valued semantics, gluts usually lead to paraconsistency, and gaps usually lead to paracompleteness. 7 Among the first papers where this term appears are [29,30].…”

Section: Introductionmentioning

confidence: 99%

“…As for four-valued paracomplete logics, Pietz and Riveccio's [41] ETL deserves attention. Most fuzzy logics are paracomplete (and almost none of them is paraconsistent; see [7,15] for some rare examples of paraconsistent fuzzy logics). At last, let us mention paradefinite [6] or paranormal [9,43] logics, i.e., logics which are both paracomplete and paraconsistent.…”

Section: Introductionmentioning

confidence: 99%

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On Paracomplete Versions of Jaśkowski's Discussive Logic

Mruczek-Nasieniewska,

Petrukhin,

Shangin

2024

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Jaśkowski's discussive (discursive) logic D2 is historically one of the first paraconsistent logics, i.e., logics which 'tolerate' contradictions. Following Jaśkowski's idea to define his discussive logic by means of the modal logic S5 via special translation functions between discussive and modal languages, and supporting at the same time the tradition of paracomplete logics being the counterpart of paraconsistent ones, we present a paracomplete discussive logic D2p.

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“…However, in many-valued semantics, gluts usually lead to paraconsistency, and gaps usually lead to paracompleteness. 7 Among the first papers where this term appears are [29,30].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On Paracomplete Versions of Jaśkowski's Discussive Logic

Mruczek-Nasieniewska,

Petrukhin,

Shangin

2024

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“…We refer the reader to studies of References [6][7][8] as well as the work on paraconsistent fuzzy logic conducted in Reference [9].…”

Section: Introductionmentioning

confidence: 99%

Another Note on Paraconsistent Neutrosophic Sets

Lupiáñez

2017

Symmetry

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Abstract:In an earlier paper, we proved that Smarandache's definition of neutrosophic paraconsistent topology is neither a generalization of Çoker's intuitionistic fuzzy topology nor a generalization of Smarandache's neutrosophic topology. Recently, Salama and Alblowi proposed a new definition of neutrosophic topology, that generalizes Çoker's intuitionistic fuzzy topology. Here, we study this new definition and its relation to Smarandache's paraconsistent neutrosophic sets.

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