| 区问值和模糊数值函数的Choquet积分 |
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| 引用本文： | 巩增泰,郭元伟.区问值和模糊数值函数的Choquet积分[J].兰州大学学报(自然科学版),2009,45(4). |
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| 作者姓名： | 巩增泰 郭元伟 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,兰州,730070 |
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| 基金项目： | 围家自然科学基金项目，甘肃省自然科学基金项目 |
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| 摘 要： | 定义和讨论了区间值函数和模糊数值函数关于非可加Sugeno测度的Choquet积分及其性质,并利用传统的模糊数值函数的Kaleva积分对其进行了刻划;同时,讨论了区间值函数和模糊数值函数的Choquet不定积分,发现该集函数对于原有测度的性质具有遗传性,分别是一种区间值和模糊数值模糊测度.所有结果不难推广到定义域为高维空间或取值域为高维模糊数空间的情形.
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| 关 键 词： | 模糊数 非可加测度 Choquet积分 模糊数值函数 |
Choquet integrals of interval-valued functions and fuzzy number-valued functions |
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| GONG Zeng-tai,GUO Yuan-wei.Choquet integrals of interval-valued functions and fuzzy number-valued functions[J].Journal of Lanzhou University(Natural Science),2009,45(4). |
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| Authors: | GONG Zeng-tai GUO Yuan-wei |
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| Institution: | College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China |
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| Abstract: | The Choquet integrals of interval-valued functions and fuzzy-number-valued functions based on non-additive Sugeno measures were defined and characterized.It showed that the Choquet integral of fuzzy-number -valued functions could be transformed into the classical Kaleva integral of fuzzy-number-valued functions.Finally,the Choquet indefinite integrals of interval-valued functions and fuzzy-number-valued functions were discussed.Notice that all of results proposed could be extended to the multidimensional sp... |
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