EQ-代数的范畴

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2021-01-20 DOI:10.18778/0138-0680.2021.01

R. Borzooei, N. Akhlaghinia, M. Kologani, X. Xin

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引用次数: 3

摘要

Novák在[15]中引入了EQ代数，作为模糊类型理论（FFT）的真值的代数结构。在本文中，我们研究了EQ-代数的范畴，并证明了它是完备的，但一般来说它不是共完备的。我们证明了乘法相对EQ代数具有共量化器，并在特殊情况下计算了共乘积和推出。此外，我们在单例上构造了一个自由EQ代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The category of EQ-algebras

EQ-algebras were introduced by Nova ́k in [15] as an algebraic structure of truth values for fuzzy type theory (FFT). In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculate coprodut and pushout in a special case. Also, we construct a free EQ-algebra on a singleton.

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来源期刊

Bulletin of the Section of Logic Arts and Humanities-Philosophy

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

8 weeks