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序半群中有边界值的直觉模糊理想
引用本文:黄晓昆,程涛.序半群中有边界值的直觉模糊理想[J].沈阳大学学报,2012,24(2):71-74.
作者姓名:黄晓昆  程涛
作者单位:1. 红河学院数学学院,云南蒙自,661100
2. 廊坊燕京职业技术学院公共教学部,河北三河,065200
基金项目:国家自然科学基金资助项目,云南省自然科学基金资助项目
摘    要:介绍了序半群中具有边界值(α,β)的直觉模糊理想的概念,并对其相关运算性质进行了探讨.最后,通过有边界值(α,β)的直觉模糊理想,对内正则序半群的特征进行刻画,得到若干刻画定理.

关 键 词:序半群  直觉模糊理想  完全格  正则序半群

Intuitionistic Fuzzy Ideals with Thresholds of an Ordered Semigroup
HUANG Xiaokun,CHENG Tao.Intuitionistic Fuzzy Ideals with Thresholds of an Ordered Semigroup[J].Journal of Shenyang University,2012,24(2):71-74.
Authors:HUANG Xiaokun  CHENG Tao
Institution:1. College of Mathematics, Honghe University, Mengzi 661100, China 2. Department of Public Education, Yanjing Vocational College of Langfang, Langfang 065200, China)
Abstract:The concept of intuitionistic fuzzy ideals with thresholds of an ordered semigroup is given and some related properties of it are studied. The intra-regularity of an ordered semigroup is characterized by use of the intuitionistic fuzzy soft left (right) ideals with thresholds of an intra-regular ordered semigroup.
Keywords:ordered semigroup  intuitionistic fuzzy left (right) ideals  complete lattice  intra-regular ordered semigroup
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