L子集范畴中定向函子与逆向函子的伴随性研究  

The Study about Directed and Inverse Functors in the Category of L Subsets

作　　者：张红[1] 李国华[1] 汤建钢[1] 

机构地区：[1]伊犁师范学院数学系,新疆伊宁835000

出　　处：《伊犁师范学院学报（自然科学版）》2010年第1期1-4,共4页Journal of Yili Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10871137);新疆自然科学基金项目(200721103);新疆维吾尔自治区高校科研计划重点项目(XJEDU2006157);伊犁师范学院2008年度大学生科研计划课题(2008XS06)

摘　　要：引入态射为Zadeh型映射的L子集范畴中Zadeh型定向函子与逆向函子的概念,证明它们是一对伴随函子.进一步引入态射为双诱导型映射的L子集范畴中双诱导型定向函子与逆向函子的概念,并证明它们也构成一对伴随函子。This paper introduces the directed functor and inverse functor of the category ot L suojects m which the morphism is Zadeh＇s type mapping, and proves that they are adjoint. Moreover, the paper also gives the directed functor and inverse functor of the category of L subsets in which the morphism is Bi-induced type mapping, and also proves that they are a adjoint pair.

关 键 词：L子集范畴 Zadeh型定向函子 Zadeh型逆向函子 双诱导型定向函子 双诱导 型逆向函子 伴随性 

分 类 号：O154.1[理学—数学]