| 外延topos中的模糊物质 |
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| 引用本文： | 袁学海,王长川.外延topos中的模糊物质[J].辽宁师范大学学报(自然科学版),2000,23(1):1-5. |
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| 作者姓名： | 袁学海 王长川 |
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| 作者单位： | 1. 辽宁师范大学,数学系,辽宁,大连,116029
2. 大连市公安消防局,辽宁,大连,116012 |
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| 基金项目： | 辽宁省教委高校科研项目 ! 990 3 110 0 7 |
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| 摘 要： | 在一个外延ｔｏｐｏｓ中引入子物质套的概念，并在物质ｄ的子物质套的类ｕ（ｄ）中引入弱等价关系和强等价关系，进而将子特套的等价类定义的模糊子物质。给出了模糊子物质的隶属函数，讨论了模糊子物质的运算。其目的是为了在一个ｔｏｐｏｓ的框架下开展模糊系统理论的研究。
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| 关 键 词： | 范畴 模糊子物质 外延topos 模糊物质 隶属函数 |
Fuzzy Objects in A Extensional Topos |
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| YUAN Xue-hai,WANG Chang-chuan.Fuzzy Objects in A Extensional Topos[J].Journal of Liaoning Normal University(Natural Science Edition),2000,23(1):1-5. |
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| Authors: | YUAN Xue-hai WANG Chang-chuan |
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| Abstract: | The concept of subobject embedding is introduced to an extensional topos,and a weak equivalent relation and a strong equivalent relations are introduced to U(d)which is a class of subobject embedding of object d .Consequently a fuzzy subobject is defined as equivalent classH]of a subobject embedding H .Membership functions of fuzzy subobjects are given,and their operations are discussed.The aim of the paper is to study fuzzy system theory under a topos. |
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| Keywords: | category topos element subobject embedding fuzzy subobject |
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