Infinite fuzzy relational equations with sup-conjunctor on complete Brouwerian lattices
Infinite fuzzy relational equations with sup-conjunctor on complete Brouwerian lattices
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DOI：
10.1016/j.ins.2014.04.020
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发表时间：
2014-09
期刊：
影响因子：
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通讯作者：
Q. Xiong;Xue-ping Wang
中科院分区：
文献类型：
--
作者：
Q. Xiong;Xue-ping Wang
本文研究了完全布劳威尔格子上具有超共子的无限模糊关系方程组。首先显示了系统的可达到（分别是不可达到、部分可达到）解的一些属性，它们与最小解密切相关。然后表示可达到（或最小）解的一些必要和充分条件，最后，当系统的右侧是连接不可约元素或具有不可冗余的有限连接分解时，给出可达到解的集合。
In this paper, a system of infinite fuzzy relational equations with sup-conjunctor on complete Brouwerian lattices is investigated. Some properties of attainable (resp. unattainable, partially attainable) solutions of the system are first shown, which are closely related minimal solutions. Some necessary and sufficient conditions for attainable (resp. minimal) solutions are then represented, and in the end, the set of attainable solutions is given when the right hand sides of the system either are join-irreducible elements or have irredundant finite join-decompositions.