隐含伪滤波器和布尔滤波器的开问题

2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE) Pub Date : 2017-11-01 DOI:10.1109/ISKE.2017.8258742

Yingmin Guo, Kuan-kuan Zhao, Wei Wang

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引用次数: 0

摘要

提出了具有条件(pP)的伪BCK代数或具有条件(pP)的有界伪BCK代数的隐含伪滤波器与布尔滤波器之间的关系，部分解决了“在伪BCK代数或有界伪BCK代数中，隐含伪过滤器的概念是否等价于布尔过滤器的概念?”和“一个伪BCK代数是隐含伪BCK代数当且仅当它的每个伪过滤器都是布尔过滤器(或隐含伪过滤器)。”

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Open problems on implicative pseudo-filters and boolean filters

We proposed the relation between implicative pseudo-filter and Boolean filter of pseudo BCK algebras with condition (pP) or bounded pseudo BCK algebras with condition (pP) and partly solved open problems that "In pseudo BCK algebra or bounded pseudo BCK algebra, is the notion of implicative pseudo-filter equivalent to the notion of Boolean filter?" and "A pseudo BCK algebra is an implicative pseudo BCK algebras if and only if every pseudo-filters of it is Boolean filter (or implicative pseudo-filters).

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2017 12th International Conference on Intelligent Systems and Knowledge Engineering (ISKE)

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