Fuzzy关系的有补t-范构造 |
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引用本文: | 彭祖赠,孙韫玉.Fuzzy关系的有补t-范构造[J].武汉大学学报(工学版),1985(3). |
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作者姓名: | 彭祖赠 孙韫玉 |
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作者单位: | 武汉水利电力学院数学教研室
(彭祖赠),武汉水利电力学院数学教研室(孙韫玉) |
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摘 要: | 本文利用有补t-范对Ai∈F(X)和Bi∈F(Y),i=1,2,…,n构造Fuzzy关系R∈F(X×X),使得Ai(?)R=Bi,N(Bi)(?)R~1=N(Ai)(N(Ai),N(Bi)分别表示Ai和Bi的补),并在适当条件下给出了这类R的上界与极小元。
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Construction of Fuzzy Relations Based on Complemented t-Norms |
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Abstract: | In this paper, by using a complemented t-norm we construct fuzzy relations R ∈ F(X×Y) for Ai ∈ F(X)and Bi ∈ F(Y) (ⅰ=1,2,…n), such that A;(?)R=Bi, N(Bi)(?)R~(-1)=N(Ai), Vi, where N(Ai) and N(Bi) denote the complement of Ai and Bi respectively. Further-more, we give the upper bound and the minimal element of these R under proper conditions. |
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