摘要
模糊概率积分作为模糊数学不可或缺的分支,是依赖于模糊概率及模糊测度的一种重要积分形式,也是研究模糊数学的有力工具。针对模糊概率、模糊测度及其积分的相关定义、定理研究,给出两种较理想的γ-模糊算子形式,证明出满足三角范算子条件;并在提出的关联性测度空间背景下,给出广义Sugeno概率积分的定义、定理,对若干满足条件的定理进行验证,证明其可行性。
As an indispensable branch of fuzzy mathematics,fuzzy probability integral is an important integral form that relies on fuzzy probability and fuzzy measure,and is also a powerful tool for studying fuzzy mathematics.Aiming at the definition and theorem research of fuzzy probability,fuzzy measure and its integral,two kinds of idealγ-fuzzy operator form is given,which proves that the condition of triangular norm operator is satisfied;And under the background of the proposed relevance measure space,the definition and theorem of generalized Sugeno probability integral are given,verification of a number of theorems that satisfy the condition to prove its feasibility.
作者
赵辉
单云霄
姜欣格
ZHAO Hui;SHAN Yun-xiao;JIANG Xin-ge(School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)
出处
《哈尔滨理工大学学报》
CAS
北大核心
2020年第4期151-156,共6页
Journal of Harbin University of Science and Technology
基金
四川省科技计划项目(2016JZ0014-1)
黑龙江省自然科学基金(A201214).
