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基于Ω-范畴的定向与逆向函子伴随性的研究
The Study about Adjoint of Directed and Inverse Functors in Relation to the Ω-category
【摘要】 Ω-范畴具有范畴论和序理论的双重意义,可为计算机程序语言的语义提供量化的模型,本文给出了范畴RΩ(X)之间的Zadeh型定向函子与Zadeh型逆向函子的定义,同时证明了Zadeh型定向函子与Zadeh型逆向函子互为一对伴随函子。
【Abstract】 Ω-category has category theory and order theory double meaning,which can provide a quantitative model for the semantics of computer programming languages.In this paper we given the the definition of directed and inverse functors,which in the type of Zadeh’s mapping.Furthermore,we proved thedirected and inverse functors are a pair of adjoint functor.
【关键词】 Ω-范畴;
Zadeh型定向函子;
Zadeh型逆向函子;
伴随性;
【Key words】 Ω-category; Zadeh’s Type Directed Functor; Zadeh’s Type Inverse Functors; Adjoint;
【Key words】 Ω-category; Zadeh’s Type Directed Functor; Zadeh’s Type Inverse Functors; Adjoint;
【基金】 国家自然科学基金资助项目(11371262)
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2014年06期
- 【分类号】O154.1
- 【下载频次】69