- 期刊
Ranking Fuzzy Sets with Signed Distance and Its Algebraic Structure connected to Algebraic Structure on R
以有號距離對模糊集的排序及和實數集的代數結構的關聯性
摘要
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, ＜* ,= , ⊕*).
關鍵字
無資料並列摘要
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, ＜* ,= , ⊕*).
延伸閱讀
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