基于树的最小乘积模糊集代数  

The Minimum Product Algebra of Fuzzy Set Based on Tree

作　　者：王泽文[1] 舒兰[1] 翁福利[1] 

机构地区：[1]电子科技大学数学科学学院,四川成都611731

出　　处：《模糊系统与数学》2012年第2期76-80,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11071178)

摘　　要：给出Σ-代数、Σ-树和Σ-树函数的定义。引入了最小乘积模糊集代数,以此研究了一类特定形式的Σ-树。讨论了线性正规等式下的等价类的封闭性,证明了Σ-运算满足分配律并具有保序性。The notions of Σ-algebra,Σ-tree and Σ-tree function are given.The minimum product algebras of fuzzy sets are introduced and a specific form of Σ-tree is studied.The closure properties of the equational classes defined by linear regular equations are illustrated,all Σ-operations verify distributivity law and possess order-preserving property are proved.

关 键 词：树 模糊集 模糊集代数 模糊树自动机 

分 类 号：O159[理学—数学]