| Semi-Continuity of Complex Fuzzy Functions |
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| 作者姓名： | 吴从炘 |
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| 作者单位： | DepartmentofMathematics,HarbinInstituteofTechnology,Harbin150001,China |
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| 基金项目： | Supported by the National Natural Science Foundationof China ( No. 10 2 710 35 ) and the MultidiscilineScientific Research Fund of Harbin Institute ofTechnology ( HIT.MD. 2 0 0 0 . 2 1) |
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| 摘 要： | This paper introduces the concept of semi-continuity of complex fuzzy functions, and discusses some of their elementary properties, such as the sum of two complex fuzzy functions of type I upper (lower) semi-continuity is type I upper (lower) semi-continuous, and the opposite of complex fuzzy functions of type I upper (lower) semi-continuity is type I lower (upper) semi-continuous. Based on some assumptions on two complex fuzzy functions of type I upper (lower) semi-continuity, it is shown that their product is type I upper (lower) semi-continuous. The paper also investigates the convergence of complex fuzzy functions. In particular, sign theorem, boundedness theorem, and Cauchy‘s criterion for convergence are kept. In this paper the metrics introduced by Zhang Guangquan was used. This paper gives a contribution to the study of complex fuzzy functions, and extends the corresponding work of Zhang Guangquan.
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| 关 键 词： | 半连续性函数 复杂模糊函数 模糊距离 模糊限制 |
Semi-Continuity of Complex Fuzzy Functions |
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| Magassy Ousmane.Semi-Continuity of Complex Fuzzy Functions[J].Tsinghua Science and Technology,2003,8(1):65-70. |
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| Authors: | Magassy Ousmane |
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| Abstract: | This paper introduces the concept of semi-continuity of complex fuzzy functions, and discusses some of their elementary properties, such as the sum of two complex fuzzy functions of type I upper (lower) semi-continuity is type I upper (lower) semi-continuous, and the opposite of complex fuzzy functions of type I upper (lower) semi-continuity is type I lower (upper) semi-continuous. Based on some assumptions on two complex fuzzy functions of type I upper (lower) semi-continuity, it is shown that their product is type I upper (lower) semi-continuous. The paper also investigates the convergence of complex fuzzy functions. In particular, sign theorem, boundedness theorem, and Cauchy's criterion for convergence are kept. In this paper the metrics introduced by Zhang Guangquan was used. This paper gives a contribution to the study of complex fuzzy functions, and extends the corresponding work of Zhang Guangquan. |
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| Keywords: | fuzzy number fuzzy complex number fuzzy distance fuzzy limit complex fuzzy semi-continuous function |
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