保熵约简在模糊推理中的应用研究  

Study on Entropy-preserving Simplifying of Fuzzy Reasoning

作　　者：华丹阳 HUA Danyang

机构地区：[1]皖西学院电子与信息工程学院,安徽六安230036

出　　处：《淮南师范学院学报》2022年第2期141-148,共8页Journal of Huainan Normal University

基　　金：国家自然基金面上项目“基于知识图谱的农业大数据碎片化知识发现方法研究”(31771679);皖西学院2021年度高层次人才科研启动项目“产品概念设计的模糊功能求解研究”(00701092120);清华大学横向课题“高压空气和燃气兼容驱动气体炮设计与加工”(0045021079)。

摘　　要：模糊功能树是模糊推理领域的研究重点之一。针对现有研究遇到的技术瓶颈,文章首先在模糊数学领域论述了模糊功能树逻辑命题定义,通过矩阵计算实现模糊功能的创新推理,然后提出了面向创新的保熵约简原则,给出模糊功能树的保熵约简功能求解方法,并实现了逻辑等价的约简,同时维持原有的创新能力,为模糊推理的理论建设带来突破。In the field of fuzzy reasoning,the fuzzy function tree is one of the most important research fields.To solve this problem of development bottleneck,the mathematics expression is given for fuzzy function tree,especially the matrix expression focusing on fuzzy function tree,corresponding mechanism of innovative reasoning is researched.Then the entropy-preserving simplifying principles are put forward,together with corresponding entropy-preserving simplifying and solving(EPSS)method.The experimental result verifies that the EPSS method not only equivalently reduces the quantity of solutions,but also holds the initial innovative ability,which marks a breakthrough for the theory establishment of fuzzy reasoning.

关 键 词：模糊功能树 保熵 约简 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]