摘要
为了克服ＳｕｇｅｎｏＦｕｚｚｙ测度的局限性，从而在更一般的情况下研究ＳｕｇｅｎｏＦｕｚｚｙ测度和Ｆｕｚｚｙ积分，王震源在文［１］中首次引进集函数的“自连续性、伪自连续性”等一系列重要概念，孙清河在文［３］中解决了文［１］中提出的“上自连续性”与“下自连续性”的等价问题，而本文则解决了文［１］中提出的“伪上自连续性”与“伪下自连续性”的等价问题，并得到有关伪自连续定义的一系列等价命题。
In order to study the Sugeno fuzzy measure and fuzzy integral more generally, Wang Zhen yuan in [1] introduced a series of important concepts of autocontinuity and pseudo -autocontinuity of fuzzy measure. Sun Qing he in [3] solved the equivalent relation of autocontinuity from below and autocontinuity from above of fuzzy measure. In this paper, the equivalent relation of pseudo-antocontinuity from below and pseudo-autocontinuity from above of fuzzy measure will be solved. A set of equivalent definitions of pseudo-autocontinuity will be given.
出处
《模糊系统与数学》
CSCD
1996年第2期1-5,共5页
Fuzzy Systems and Mathematics
关键词
伪自连续
伪零可知
模糊测度
自连续性
Fuzzy measure
Pseudo-autocontinuity
Pseudo-null additivity
