模糊因果关系

FUZZY RELATION OF CAUSE AND EFFECT

本文对社会经济系统中,由常见的若干因素对其整体目的的相辅相成关系,所引起的因果关系中排中律的破缺,引入模糊因果关系及其性质,在其任一截关系R_λ是因素集X内的拟序的基础上,在拟序集(X.R_λ)上定义等价关系,及类关系并经诱导到相应的商集后可在对因素集分类的同时,得到相应的类间的因果制约关系,显示了较模糊聚类分析更为丰富的内容。

This paper introduces the fuzzy cause-effect relation and its properties in the social|economical system as the law of excluded middle in the cause-effect relation being violated or rendered insufficient by the co-relation of several of the ordinary factors towards their overall objectives.On the basis of the fact that any cut relation Rλ is the quasiordering inthe factor set X, the equivalence relation '(?) ' and class relation '(?)' are thendefined in the quasi-rodered set (X, Rλ) and followed by inducement to their corresponding quotient sets X/ (?) , we may, while classifying the factor sets,obtain the cause-effect restricting relations between the classes.Hence, it provides a wider range for analysis than the fuzzy classification.