| 半群中的反模糊半群与反模糊理想 |
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| 引用本文： | 陈铃,王凤英.半群中的反模糊半群与反模糊理想[J].云南大学学报(自然科学版),2014,36(3):310-313. |
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| 作者姓名： | 陈铃 王凤英 |
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| 作者单位： | 1.山东建筑大学 理学院,山东 济南 250101; |
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| 基金项目： | 山东省高等学校优秀青年教师国内访问学者项目(2013);国家自然科学基金项目(11361074) |
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| 摘 要： | 引入了反模糊半群及反模糊半群补的定义,获得了反模糊半群补的充要条件;在给出保值模糊映射的基础上,证明了反模糊半群和正规反模糊半群的同态不变性.继而,引入了半群的反模糊(左、右、双、内禀)理想的定义,得到了反模糊(左、右、双、内禀)理想的充要条件和反模糊(左、右、双、内禀)理想在保值模糊映射下的同态不变性.
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| 关 键 词： | 反模糊半群 反模糊理想 保值模糊映射 |
| 收稿时间： | 2013-11-11 |
Anti-fuzzy semigroups and anti-fuzzy ideals of semigroups |
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| CHEN Ling,WANG Feng-ying.Anti-fuzzy semigroups and anti-fuzzy ideals of semigroups[J].Journal of Yunnan University(Natural Sciences),2014,36(3):310-313. |
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| Authors: | CHEN Ling WANG Feng-ying |
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| Institution: | 1.School of Science,Shandong Jianzhu University,Jinan 250101,China; |
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| Abstract: | The definition of anti-fuzzy semigroups and anti-fuzzy semigroups complement is introduced,and the sufficient and necessary condition of the existence of the anti-fuzzy semigroups complement is obtained.Based on the definition of value-keeping fuzzy mappings in semigroups,the paper proves invariance of the homomorphism of anti-fuzzy semigroups and normal anti-fuzzy semigroups.Furthermore,the definition of anti-fuzzy (left,right,bilateral or within) ideals is introduced,and the sufficient and necessary condition of the existence of the anti-fuzzy (left,right,bilateral or within) ideal is achieved.Finally,the paper discusses invariance of the homomorphism of anti-fuzzy (left,right,bilateral or within) ideal under the condition of the homomorphic mapping. |
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| Keywords: | anti-fuzzy semigroups anti-fuzzy ideals keeping value fuzzy mappings |
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