A Probability Integral on η-fuzzy Measure

CHANG Xin-qi; ZHAO Hui; WU Yang

doi:10.15938/j.jhust.2022.02.020

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A Probability Integral on η-fuzzy Measure

更新时间：2026-08-31

- A Probability Integral on η-fuzzy Measure
- Vol. 27, Issue 2, Pages: 154-160(2022)
- 作者机构：
  
  哈尔滨理工大学理学院,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2022.02.020
  CLC： O159
- Published：2022
- 稿件说明：
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CHANG Xin-qi, ZHAO Hui, WU Yang. A Probability Integral on η-fuzzy Measure[J]. 2022, 27(2): 154-160.
DOI：

CHANG Xin-qi, ZHAO Hui, WU Yang. A Probability Integral on η-fuzzy Measure[J]. 2022, 27(2): 154-160. DOI： 10.15938/j.jhust.2022.02.020.

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

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.

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