数学
关系(数据库)
作文(语言)
模糊逻辑
模糊集
纯数学
域代数上的
人工智能
数据挖掘
计算机科学
语言学
哲学
作者
Fangfang Guo,Rong Fu,Jie Shen
标识
DOI:10.1016/j.fss.2024.109037
摘要
This paper mainly considers the post-inverse matrix of a fuzzy relation matrix in terms of addition-min composition. A necessary and sufficient condition for the consistency of the inverse matrix problem is given by transforming the problem into a series of particular fuzzy relation equations. The uniqueness of the post-inverse is also investigated. Furthermore, it is proved that the search for the minimal solutions of the particular fuzzy relation equations can be converted into solving a linear system. Based on these discussions, an algorithm is constructed for solving a post-inverse of a given fuzzy relation matrix.
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