| 逆序(L)集合范畴的格值函数空间及其性质 |
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| 引用本文： | 李国华,汤建钢,张红. 逆序(L)集合范畴的格值函数空间及其性质[J]. 模糊系统与数学, 2011, 25(1) |
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| 作者姓名： | 李国华 汤建钢 张红 |
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| 作者单位： | 1. 四川大学,数学学院,四川,成都,610064;伊犁师范学院,数学系,新疆,伊宁,835000
2. 伊犁师范学院,数学系,新疆,伊宁,835000 |
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| 基金项目： | 国家自然科学基金，新疆自治区自然科学基金，新疆自治区高校科研计划重点项目，伊犁师范学院2008年度大学生科研计划课题 |
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| 摘 要： | 引入逆序(L)集合范畴概念,并研究该范畴中两种函数空间结构表示,即格值函数空间与伪格值函数空间,进一步指出在逆序(L)集合范畴中格值函数空间函子与格值积函子互为伴随及伪格值函数空间函子与格值交函子也互为伴随,从而逆序(L)集合范畴为Cartesian闭范畴.
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| 关 键 词： | 格值乘积 格值函数空间 伴随函子 伪格值函数空间 Cartesian闭性 |
The Lattice-valued Functional Spaces and the Properties in the Category of Inverse Order (L)-Sets |
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| LI Guo-hua,TANG Jian-gang,ZHANG Hong. The Lattice-valued Functional Spaces and the Properties in the Category of Inverse Order (L)-Sets[J]. Fuzzy Systems and Mathematics, 2011, 25(1) |
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| Authors: | LI Guo-hua TANG Jian-gang ZHANG Hong |
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| Affiliation: | LI Guo-hua1,2,TANG Jian-gang2,ZHANG Hong1,2(1.College of Mathematics,Sichuan University,Chengdu 610064,China,2.Department of Mathematics,Ili Normal University,Yining 835000,China) |
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| Abstract: | In this paper we introduced the conception of the inverse order L-Sets category,and researched the two kinds of functional spaces in this category,which are the lattice-valued functional space and the pseudo lattice-valued functional space.Furthermore,we showed the lattice-valued functional space functor is a right adjoint for the lattice-valued product functor,and the pseudo lattice-valued functional space functor is also a right adjoint for the lattice-valued meet functor.Therefore,the category of inverse... |
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| Keywords: | Lattice-valued Product Lattice-valued Functional Space Adjoint Functor Pseudo Lattice-valued Functional Space Cartesian Closed |
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