具有超合元组合的模糊对应方程组的解

2017 3rd International Conference on Computational Intelligence & Communication Technology (CICT) Pub Date : 2017-02-01 DOI:10.1109/IFSA-SCIS.2017.8023313

Kai Zuo, Xue-ping Wang, Xiaohong Zhang

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引用次数: 0

摘要

本文研究了具有超合组合的模糊对应不等式的解，即讨论了当模糊对应是固定的情况下输入和输出模糊集是未知的情况下的解。首先，证明了模糊对应不等式的解可以通过求解相应的切集问题来分析和表述。然后证明了模糊对应方程的解空间是完全分配格，模糊对应方程的解空间也是完全分配格。并对方程中模糊对应的解集进行了部分描述。

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Solutions of fuzzy correspondence inequations with sup-conjunctor composition

This paper investigates the solutions of fuzzy correspondence inequations with sup-conjunctor composition, i.e., it discusses those solutions for the input and output fuzzy sets which are unknown while a fuzzy correspondence is fixed. First, it proves that the solutions of the fuzzy correspondence inequations can be analyzed and formulated by solving the corresponding cut set problems. It then shows that the space of solutions of the fuzzy correspondence in equation is a complete distributive lattice and the same holds for the space of solutions of the fuzzy correspondence equation. Moreover, it describes the solution set of the fuzzy correspondence in equation partly.

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2017 3rd International Conference on Computational Intelligence & Communication Technology (CICT)

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