| 弱凸和强凸模糊映射 |
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| 引用本文： | 殷明娥,赵秋.弱凸和强凸模糊映射[J].辽宁师范大学学报(自然科学版),2006,29(2):142-144. |
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| 作者姓名： | 殷明娥 赵秋 |
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| 作者单位： | 1. 辽宁师范大学,数学学院,辽宁,大连,116029
2. 鞍山师范学院,教育科学与技术学院,辽宁,鞍山,114005 |
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| 基金项目： | 辽宁省教育厅高等学校科研项目（A类）（2004C052） |
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| 摘 要： | 在两个凸集之间引入了弱凸模糊映射和强凸模糊映射的概念．指出强凸模糊映射为弱凸模糊映射；凸映射一定为强凸模糊映射，若一个普通映射为弱凸模糊映射，则它一定为凸映射．征明了两个凸模糊子集可以确定一个弱凸模糊映射；两个弱（强）凸模糊映射的合成仍为弱（强）凸模糊映射；一个凸模糊子集在一个弱凸模糊映射之下的象和原象仍为凸模糊子集．
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| 关 键 词： | 凸集 凸模糊子集 凸映射 弱凸模糊映射 强凸模糊映射 |
| 文章编号： | 1000-1735(2006)02-0142-03 |
| 收稿时间： | 12 21 2005 12:00AM |
| 修稿时间： | 2005年12月21 |
Weak Convex and Strong Convex Fuzzy Mappings |
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| YIN Ming-e,ZHAO Qiu.Weak Convex and Strong Convex Fuzzy Mappings[J].Journal of Liaoning Normal University(Natural Science Edition),2006,29(2):142-144. |
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| Authors: | YIN Ming-e ZHAO Qiu |
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| Abstract: | The concepts of weak convex and strong convex fuzzy mapping are introduced between two convex sets.It points out that a strong convex fuzzy mapping is a weak convex fuzzy mapping; and a convex mapping must be a strong convex fuzzy mapping,and if a general mapping is a weak convex fuzzy mapping,it must be a convex mapping.It is proved that two convex fuzzy subsets can define a weak convex fuzzy mapping,the composition of two weak(strong) convex fuzzy mappings is a weak(strong) convex fuzzy mapping and the image and preimage of a convex fuzzy subset under a weak convex fuzzy mapping is also a convex fuzzy subset. |
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| Keywords: | convex set convex fuzzy subset convex mapping weak convex fuzzy mapping strong convex fuzzy mapping |
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