| 模糊形态学的理论概念 |
| |
| 引用本文： | 徐凤生,吴敏金.模糊形态学的理论概念[J].华东师范大学学报(自然科学版),1996(4):38-46. |
| |
| 作者姓名： | 徐凤生 吴敏金 |
| |
| 作者单位： | [1]山东德州师范学院数学系 [2]教育信息技术系 |
| |
| 摘 要： | 本文将经典集上的形态运算扩展到模糊集，并且以模糊集理论和模糊形态学的观点，建立了完备格。运用模糊集上的截集概念本文将经典集上的形态运算扩展到模糊集，并且以模糊集理论和模糊形态学的观点，建立了完备格。
|
| 关 键 词： | 模糊集 完备格 模糊形态学 格化拓朴学 |
Theoretical Aspects of Fuzzy Morphology |
| |
| Xu FS.Theoretical Aspects of Fuzzy Morphology[J].Journal of East China Normal University(Natural Science),1996(4):38-46. |
| |
| Authors: | Xu FS |
| |
| Abstract: | In this paper, the morphological operations of classical sets are extended to fuzzy setsand complete lattices in the view of fuzzy set theory and Fuzzy Morphology is set up. The relations between fuzzy morphological operations and classical morphological operations are considered via cut sets of fuzzy set. The topological properties of fuzzy morphological operationsare proved. The latticized topological properties of morphological operations on complete lattices are proved under the latticized topology. |
| |
| Keywords: | dilation erosion opening closing fuzzy morphology latticized topology |
| 本文献已被 CNKI 维普 等数据库收录！ |
