计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (6): 63-65.DOI: 10.3778/j.issn.1002-8331.2009.06.019
• 研究、探讨 • 上一篇 下一篇
王加阳,彭岚琳
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WANG Jia-yang,PENG Lan-lin
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摘要： 把模糊商空间理论推广为模糊λ商空间理论，证明论域上的一个模糊等价关系一一对应于λ商空间上的一个归一化等腰距离函数；给定一个λ截关系序列，则唯一确定一个模糊等价关系。给出模糊λ商空间的定义，并讨论其性质，引入模糊λ商空间族来求解模糊问题。
关键词: λ截关系, λ商空间, 距离空间, 模糊λ商空间, 完备格
Abstract: In this paper，fuzzy quotient space theory is extended to fuzzy λ-quotient space theory，it is proved that a fuzzy equivalence relation given in universe corresponds to a normalized isosceles distance given in λ-quotient space.A series of λ-cut relation can determine only one fuzzy equivalence relation is presented.The definition of λ-fuzzy quotient space is proposed，and its properties are discussed.A group of λ-fuzzy quotient space is introduced to solve fuzzy problem.
Key words: λ-cut relation, λ-quotient space, distance space, fuzzy λ-quotient space, semi-order lattice
王加阳,彭岚琳. 模糊λ商空间研究[J]. 计算机工程与应用, 2009, 45(6): 63-65.
WANG Jia-yang,PENG Lan-lin. Research on fuzzy λ-quotient space[J]. Computer Engineering and Applications, 2009, 45(6): 63-65.
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链接本文: http://cea.ceaj.org/CN/10.3778/j.issn.1002-8331.2009.06.019
http://cea.ceaj.org/CN/Y2009/V45/I6/63
