作者:常欣琦， 赵 辉， 武 杨
Authors:CHANG Xin-qi, ZHAO Hui, WU Yang摘要:摘 要:针对模糊积分的相关定义、定理研究，先定义了一种模糊测度；再设计一对优化的Einstein算子形式，分别是λ-模糊似积算子与λ-模糊似和算子，证明出满足T三角模与S三角模条件；最后在η-模糊测度空间上给出了λ-模糊似积概率积分的定义及其定理，并给出定理的证明，由此使得模糊测度理论的内容更加丰富。
Abstract:Abstract:For the study of relevant definitions and theorems of fuzzy integrals, a fuzzy measure is first defined; then a pair of optimized Einstein operators of the form are designed, which are λ-fuzzy quasiproduct operator and λ-fuzzy quasisum operator respectively. It is proved that the T triangular norm and S triangular norm conditions are satisfied. Finally, the definition of λ-fuzzy product probability integral and its theorem are given on the η-fuzzy measure space, and the proof of the theorem is also given, thus enriching the content of fuzzy measure theory.

PDF全文下载地址:

可免费Download/下载PDF全文