Paraconsistency in the Logic sqŁ*

The logic sqŁ* is closely related to complex fuzzy sets. In this paper, we continue our study on sqŁ* by establishing a system that includes all formulas with values 0 in sqŁ*. This system has paraconsistent formulas within sqŁ*. Moreover, we show that this logical system is both sound and weakly complete.

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Publication Details

Journal
Axioms
Published
2025-03-21
DOI
https://doi.org/10.3390/axioms14040241
Primary Topic
Advanced Algebra and Logic
Type
article
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article

Paraconsistency in the Logic sqŁ*

Lei Cai, Wenjuan Chen
Axioms
Advanced Algebra and Logic
article

Paraconsistency in the Logic sqŁ*

Lei Cai, Wenjuan Chen
article en

Abstract

The logic sqŁ* is closely related to complex fuzzy sets. In this paper, we continue our study on sqŁ* by establishing a system that includes all formulas with values 0 in sqŁ*. This system has paraconsistent formulas within sqŁ*. Moreover, we show that this logical system is both sound and weakly complete.

AxiomsVol. 14(4)
University of Jinan (CN)
Openalex Percentile: Top 93%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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Paraconsistency in the Logic sqŁ* — Lei Cai, Wenjuan Chen · Axioms (2025) | TGRS Research Map | TGRS