| 模糊集的凸的几点性质 |
| |
| 引用本文： | 彭祖明.模糊集的凸的几点性质[J].模糊系统与数学,2019(4):86-93. |
| |
| 作者姓名： | 彭祖明 |
| |
| 作者单位： | 长江师范学院数学与统计学院 |
| |
| 基金项目： | 教育部人文社会科学研究规划项目(17YJA630051) |
| |
| 摘 要： | 引入了Tλ算子,基于此算子,对模糊集的凸和拟凸的一些性质进行了研究,得出了一些结论。对模糊集的凸和拟凸的概念进行了拓展,引入了半凸模糊集,半拟凸模糊集,研究了半凸模糊集和半拟凸模糊集的性质。
|
| 关 键 词： | 模糊集 凸模糊集 半凸模糊集 半拟凸模糊集 |
Some Properties of Fuzzy Convexity |
| |
| PENG Zu-ming.Some Properties of Fuzzy Convexity[J].Fuzzy Systems and Mathematics,2019(4):86-93. |
| |
| Authors: | PENG Zu-ming |
| |
| Institution: | (College of Mathematics and Statistis,Yangtze Normal University,Chongqing 408100,China) |
| |
| Abstract: | In the paper,first,the Tλoperator is introduced,then some properties of fuzzy quasiconvexity and fuzzy convexity under Tλoperator are studied,such as the weak equivalent condition that a fuzzy closed set is a quasiconvex fuzzy set,etc.Second,we introduced the concepts of semi-convex fuzzy sets,semi-quaiconvex fuzzy sets,and some properties of semi-convex fuzzy sets,semi-quasiconvex fuzzy sets are also obtained. |
| |
| Keywords: | Fuzzy Sets Convexity Fuzzy Sets Semi-convexity Fuzzy Sets Semi-quasiconvexity Fuzzy Sets |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
