| 摘要: | 我們利用在R上的有號距離d，推廣到Fs上得有號距離d*。Fs為在R上的模糊集其α-cut存在，且為α的連續函數，0≦α≦1，所形成的集合F和模糊點所形成的集合R*之聯集。在(R,d,<,=,+,.)上的性質利用(R*,d* ,< ,? ,⊕,(‧))或(TE ,<* ,=,⊕* ) 都可以轉移到(Fs ,d* ,< ,= , ⊕* ,(‧))。
We use the signed distance d on R = (-∞,∞) and extend to the signed distane d* on Fs. Fs is the union of F and R*, where R* is the set of fuzzy point and F is the family of the fuzzy set on R with its existence of α-cut, 0≦α≦1 and being a continuous function of α for the two endpoints of α-cut on [0,1]. The properties on the system (R,d,<,=,+,.) can be transferred to the system (Fs,d* ,< ,? ,⊕,(‧))through the systems (R*, d* , < ,=,⊕,(‧)) or (TE, <* ,= , ⊕*). |
