陕西师范大学学报(自然科学版)2011,Vol.39Issue(3):6-9,4.
R0代数中的幂等元及其应用
Idempotent elements in an R0 algebra and its applications
摘要
Abstract
Some properties of intuitionistic fuzzy relation mappings are studied. It is proved that if a mapping / satisfies some conditions, then reflexivity, anti-reflexivity, and symmetry of intuitionistic fuzzy relations under the intuitionistic fuzzy relation mapping are invariant, respectively. It is obtained that if a mapping / satisfies some conditions, then image (resp. , inverse image) of reflexive closure, symmetric closure, symmetric kernel, and anti-reflexive kernel of an intuitionistic fuzzy relation R under the intuitionistic fuzzy relation mapping f→ (resp. , inverse intuitionistic fuzzy relation mappingf← ) are reflexive closure, symmetric closure, symmetric kernel, and anti-reflexive kernel of the image (resp. , inverse image) of R under the mapping f→(resp. . The inverse mapping f←).关键词
R0代数/幂等元/左映射/幂等映射/直积/映射核Key words
intuitionistic fuzzy relation/ intuitionistic fuzzy relation mapping/ closure/ kernel MR subject classification: 03B52分类
数理科学引用本文复制引用
张金凤,王国俊..R0代数中的幂等元及其应用[J].陕西师范大学学报(自然科学版),2011,39(3):6-9,4.基金项目
国家自然科学基金资助项目(10771129). (10771129)