Some properties of infinite fuzzy relational equations with sup-inf composition

Some properties of infinite fuzzy relational equations with sup-inf composition
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DOI:
10.1016/j.ins.2011.07.041
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发表时间:
2013-12
期刊:
Inf. Sci.
影响因子:
--
通讯作者:
Q. Xiong;Xue-ping Wang
Q. Xiong;Xue-ping Wang
中科院分区:
其他
文献类型:
--
作者:
Q. Xiong;Xue-ping Wang

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本文讨论具有超信息合成的无限模糊关系方程。首先,研究了它们的一些性质。然后给出了可得解存在的充要条件(分别为:如果解集不为空,则给出不可达解和部分可达解)。最后,描述了一组可实现的解决方案。
This paper deals with infinite fuzzy relational equations with sup–inf composition. First, some properties of them are investigated. Then some necessary and sufficient conditions for the existence of attainable solutions (resp. unattainable solutions and partially attainable ones) are given if the solution set is nonempty. Finally, the set of attainable solutions is described.