期刊文献+

关于Fuzzy测度自连续性几个重要性质的证明

Proofs on some important properties of autocontinuity of Fuzzy measure
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摘要 Fuzzy测度是研究Fuzzy泛函的基础。M.Sugeno提出了Fuzzy测度的定义,文献[2~4]研究了Fuzzy测度的相关内容,并在Fuzzy测度定义的基础上,给出了Fuzzy测度自连续性的重要性质。在上述文献基础上,相应地证明了Fuzzy测度自连续性的几个重要性质。 Fuzzy measure is the basis of Fuzzy finite functions. M. Sugeno presents the definition of Fuzzy measure. The correlated contents are studied in Ref. [2~4] and on the basis of the definition, the important properties are given of Fuzzy continuous measure. Based on the above Ref, a few important properties of Fuzzy measure continuity are presented.
出处 《陕西工学院学报》 2005年第2期83-85,共3页 Journal of Shaanxi Institute of Technology
基金 陕西理工学院科研基金项目(SLG04020)
关键词 FUZZY测度 自连续性 重要性质 Fuzzy measure autocontinuity important property
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参考文献4

  • 1M sugeno,Theory of fuzzy integrals and its applications[D]. Tokyo Institute of Technology, 1974.
  • 2Wang zhenyuan. The auto - continuity of set function and the fuzzy integral[J]. J. Math. Anal. Appl. 1984,99: 195-218.
  • 3Wang zhcnyuan. Asymptotic structural characteristics of fuzzy measure and their applications[ J ]. Fuzzy sets and systems,1985,16:277-290.
  • 4吴从忻 马明 方锦暄.Fuzzy分析学的结构理论[M].贵阳:贵州科技出版社,1994..

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