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R0代数中的幂等元及其应用

张金凤 王国俊

陕西师范大学学报(自然科学版)2011,Vol.39Issue(3):6-9,4.
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

张金凤 1王国俊1

作者信息

  • 1. 陕西师范大学数学与信息科学学院,陕西西安,710062
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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)

陕西师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1672-4291

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