完全正则半群的直觉模糊软子半群

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英文篇名：Intuitionistic Fuzzy Soft Subsemigroups of Completely Regular Semigroups 作者：罗晓棠 ; 廖祖华 ; 朱婵 ; 朱晓英 英文作者：LUO Xiao-tang;LIAO Zu-hua;ZHU-Chan;ZHU Xiao-ying;Mathematics Department of School of Science,Jiangnan University; 关键词：完全正则半群 ; 软集 ; 直觉模糊软集 ; 直觉模糊软子半群 ; 直觉模糊软同态 英文关键词：Completely Regular Semigroup;;Soft Sets;;Intuitionistic Fuzzy Soft Sets;;Intuitionistic Fuzzy Soft Subsemigroup;;Intuitionistic Fuzzy Soft Homomorphism 中文刊名：MUTE 英文刊名：Fuzzy Systems and Mathematics 机构：江南大学理学院; 出版日期：2014-12-15 出版单位：模糊系统与数学 年：2014 期：v.28 基金：国家自然科学基金资助项目(11001109;61170121);; 国家大学生创新创业训练计划项目(2050205) 语种：中文; 页：MUTE201406008 页数：7 CN：06 ISSN：43-1179/O1 分类号：57-63

摘要

将直觉模糊软集运用在完全正则半群上,给出了完全正则半群的直觉模糊软子半群的新概念,研究了它的一些相关性质及若干等价刻画。最后,讨论了完全正则半群的直觉模糊软子半群的同态像与原像的性质。
        In this paper,we apply the concept of intuitionistic fuzzy soft sets to completely regular semigroup.The new notion of intuitionistic fuzzy soft subsemigroups in completely regular semigroup is introduced,and several related properties and equivalent characterizations are investgated.Finally,we discuss the properties of homomorphism image and preimage of intuitionistic fuzzy soft subsemigroups in completely regular semigroup.

引文

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