Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Northeast Normal University (Natural Science Edition)》 2002-04
Add to Favorite Get Latest Update

Generated fuzzy ideals of a ring

YAO Bingxue1,GU Wenxiang2(1Department of Mathematics and System Science,Liaocheng University,Liaocheng 252059,China;2Department of Computer Science,Northeast Normal University,Changchun 130024,China)  
In this paper,the various ideals generated by a fuzzy subset in a ring are further characterized by the supremum and the infimun.The constructivity theorems of generated fuzzy ideals are established.
【Fund】: 国家自然科学基金资助项目(69973012);; 山东省自然科学基金资助项目(Y98A05008)
【CateGory Index】: O159
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 5 Hits
1 ZHOU Jun~1,ZHANG Chao-yan~2,GU Wen-xiang~3 (1.Department of Computer Science,Liaoning Institute of Technology,Jinzhou 121001,China; 2.Department of Mathematics,Changchun Teachers College,Changchun 130032,China; 3.Department of Computer Science,Northeast Normal University,Changchun 130024,China);A method about rough sets being fuzzed by using equivalence relation[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
2 LI Xiao-ping~1,ZHAO Jian-hong~2 (1.Institute of Mathematics Science,Tianjin Normal University,Tianjin 300074,China; 2.Department of Mathematics,Tonghua Teachers College,Tonghua 134002,China);Characteristic of the homomorphism image of the intuitionistic fuzzy normal subgroups[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
3 ZHANG Qing-de~1,GU Wen-xiang~2,ZHAO Peng~2 (1.Department of Computer,Liaocheng Teachers College,Liaocheng 252059,China; 2.Institute of Computer,Northeast Normal University,Changchun 130024,China);The lattice structure of idempotent subsets of a semigroup[J];Journal of Northeast Normal University (Natural Science Edition);2005-01
4 Wu De-wen1,SUN Shao-quan2(1.Department of Mathematics, Jilin Province College of Education,Changchun 130022,China;2.Department of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China);TL-quotient ring with operators and its direct product structure[J];Journal of Northeast Normal University (Natural Science Edition);2005-02
5 LI Ying~1,GU Wen-xiang~2(1.Department of Mathematics and System Science,Liaocheng University,Liaocheng 252059,China;2.College of Computer Science,Northeast Normal University,Changchun 130017,China);ζ-fuzzy subalgebras under (T′,T)[J];Journal of Northeast Normal University (Natural Science Edition);2005-03
【Citations】
Chinese Journal Full-text Database 9 Hits
1 ZHANG Qing de 1,GU Wen xiang 2, QIAO Bing wu 1 (1.Department of Computer Science, Liaocheng Teacher's College, Liaocheng 252059, China; 2.Department of Computer Science, Northeast Normal University, Changchun 130024, China);Fuzzy rings redefined[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);2000-01
2 SUN Shao quan 1, GU Wen xiang 2, LI Ping 1 (1.Department of Mathematics, Jilin Province College of Education,Changchun 130022,China; 2.Department of Computer Science, Northeast Normal University, Changchun 130024, China);(∈,∈∨q) -Fuzzy linear spaces[J];Journal of Northeast Normal University (Natural Science Edition);2000-04
3 QIAO Bing wu 1, GU Wen xiang 2, ZHANG Qing de 1 (1 Department of Computer Science, Liaocheng Teahcer's College, Liaocheng 252059,China; 2.Department of Computer Science, Northeast Normal University, Changchun 130024, China);Fuzzy congruence relations on lattice-ordered ring[J];Journal of Northeast Normal University (Natural Science Edition);2001-02
4 SUN Shao quan 1,GU Wen xiang 2 (1 College of Information and Control Engineering,Qingdao Institute of Chemical Technology,Qingdao 266042,China; 2 Department of Computer Science,Northeast Normal University,Changchun 130024,China);Fuzzy factor algebras and the fundamental theorem of homomorphisms[J];Journal of Northeast Normal University (Natural Science Edition);2002-02
5 Gu Wenxiang;Lu Tu;Liu Ning(Departemnt of Computer,Northeast Normal University,Changchun,130024);On Fuzzy Fields and Fuzzy Vector Spaces[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1994-01
6 Gu Wenxiang;Zhou Jun(Department of Computer.Northeast Normal University,Changchun.130024);A New Resolution Theory of Fuzzy Sets[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1995-02
7 Wang Guijun (Department of Mathematics, Tonghua Teacher's College, Tonghua,134002) Gu Wenxiang (Department of Computer Science, Northeast Normal University, Changchun,130024);The Product and the Theorem of the Image of Homomorphism of T H-Interval-Valued Fuzzy Normal Subgroups[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1998-01
8 Chen Degang(Department of Mathematics,Haerbin Industral University,Haerbin,150000)Gu Wenxiang(Department of Computer Science, Northeast Normal University,Changchun,130024);The Structures of Fuzzy Subgroups on Cyclical Groups[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1998-02
9 Sun Shaoquan Gu Wenxiang (Department of Computer Science, Northeast Normal University,Changchun,130024);Fuzzy Algebras over Interval-Valued Fuzzy Fields[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1998-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 SUN Shao quan 1,GU Wen xiang 2 (1 College of Information and Control Engineering,Qingdao Institute of Chemical Technology,Qingdao 266042,China; 2 Department of Computer Science,Northeast Normal University,Changchun 130024,China);Fuzzy factor algebras and the fundamental theorem of homomorphisms[J];Journal of Northeast Normal University (Natural Science Edition);2002-02
2 GU Wen-xiang (Department of Computer Science,Northeast Normal University,Changchun 130024,China);Triangular norm over lattice and its structural method[J];Journal of Northeast Normal University (Natural Science Edition);2002-03
3 PEI Daowu1,JIANG Hui2(1Department of Mathematics,Yancheng Teacher's College,Yancheng 224002,China;2.Department of Mathematics,Changchun Institute of Education,Changchun 130061,China);A new formal deductive system for fuzzy predicate calculus[J];Journal of Northeast Normal University (Natural Science Edition);2003-01
4 ZHOU Jun~1,ZHANG Chao-yan~2,GU Wen-xiang~3 (1.Department of Computer Science,Liaoning Institute of Technology,Jinzhou 121001,China; 2.Department of Mathematics,Changchun Teachers College,Changchun 130032,China; 3.Department of Computer Science,Northeast Normal University,Changchun 130024,China);A method about rough sets being fuzzed by using equivalence relation[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
5 LI Xiao-ping~1,ZHAO Jian-hong~2 (1.Institute of Mathematics Science,Tianjin Normal University,Tianjin 300074,China; 2.Department of Mathematics,Tonghua Teachers College,Tonghua 134002,China);Characteristic of the homomorphism image of the intuitionistic fuzzy normal subgroups[J];Journal of Northeast Normal University (Natural Science Edition);2004-01
6 ZHANG Qing-de~1,GU Wen-xiang~2,ZHAO Peng~2 (1.Department of Computer,Liaocheng Teachers College,Liaocheng 252059,China; 2.Institute of Computer,Northeast Normal University,Changchun 130024,China);The lattice structure of idempotent subsets of a semigroup[J];Journal of Northeast Normal University (Natural Science Edition);2005-01
7 Wu De-wen1,SUN Shao-quan2(1.Department of Mathematics, Jilin Province College of Education,Changchun 130022,China;2.Department of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China);TL-quotient ring with operators and its direct product structure[J];Journal of Northeast Normal University (Natural Science Edition);2005-02
8 LI Ying~1,GU Wen-xiang~2(1.Department of Mathematics and System Science,Liaocheng University,Liaocheng 252059,China;2.College of Computer Science,Northeast Normal University,Changchun 130017,China);ζ-fuzzy subalgebras under (T′,T)[J];Journal of Northeast Normal University (Natural Science Edition);2005-03
9 XU Xiao-jing,PEI Hai-feng,SHI Kai-quan (School of Mathematics and System Science,Shandong University,Jinan 250100,China);The Decomposition of Rough Fuzzy Sets Based on Fuzzy Equivalence[J];Fuzzy Systems and Mathematics;2006-05
10 SUN Shao-quan (Department of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061,China);Intuitionistic Fuzzy Algebras[J];Journal of Qingdao University of Science and Technology;2003-06
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Gu Wen xiang;Lu Tu Department of Math., Northeast Normal University Department of Math., Changchun Teachers Training College;The Homorphic Images of Fuzzy Algebras[J];Journal of Northeast Normal University;1993-01
2 Lu Tu (Chang Chun Theacher College) Gu Wexiang (Northerst Normal Vniversity);General Fuzzy Algebra Systems[J];Journal of Northeast Normal University;1993-03
3 ZHANG Qing de 1,GU Wen xiang 2, QIAO Bing wu 1 (1.Department of Computer Science, Liaocheng Teacher's College, Liaocheng 252059, China; 2.Department of Computer Science, Northeast Normal University, Changchun 130024, China);Fuzzy rings redefined[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);2000-01
4 QIAO Bing wu 1, GU Wen xiang 2, ZHANG Qing de 1 (1 Department of Computer Science, Liaocheng Teahcer's College, Liaocheng 252059,China; 2.Department of Computer Science, Northeast Normal University, Changchun 130024, China);Fuzzy congruence relations on lattice-ordered ring[J];Journal of Northeast Normal University (Natural Science Edition);2001-02
5 SUN Shao quan 1,GU Wen xiang 2 (1 College of Information and Control Engineering,Qingdao Institute of Chemical Technology,Qingdao 266042,China; 2 Department of Computer Science,Northeast Normal University,Changchun 130024,China);Fuzzy factor algebras and the fundamental theorem of homomorphisms[J];Journal of Northeast Normal University (Natural Science Edition);2002-02
6 GU Wen-xiang (Department of Computer Science,Northeast Normal University,Changchun 130024,China);Triangular norm over lattice and its structural method[J];Journal of Northeast Normal University (Natural Science Edition);2002-03
7 GU Wenxiang,SUN Tieli,LU Yinghua(Department of Computer Science,Northeast Normal University,Changchun 130024,China);Arithmetic study on interfering actions deferment in the intelligent planning[J];Journal of Northeast Normal University (Natural Science Edition);2003-03
8 Gu Wenxiang;Zhou Jun(Department of Computer.Northeast Normal University,Changchun.130024);A New Resolution Theory of Fuzzy Sets[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1995-02
9 Chen Degang(Department of Mathematics,Haerbin Industral University,Haerbin,150000)Gu Wenxiang(Department of Computer Science, Northeast Normal University,Changchun,130024);The Structures of Fuzzy Subgroups on Cyclical Groups[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1998-02
10 Yuan Chengjun(Harbin College);FUZZY TOPOLOGICAL QUASI-GROUP[J];Natural Science Journal of Harbin Normal University;2006-04
【Secondary References】
Chinese Journal Full-text Database 9 Hits
1 ZHOU Jun~1, ZHANG Qing-ling~1, CHEN Wen-Shi~2 (1. School of Science, Northeastern University, Shenyang 110004, China; 2. Department of Computer Science, Liaoning Institute of Technology, Jinzhou 121001, China. );Subsystem of Fuzzed Rough Sets Based on the Equivalence Classes[J];JOURNAL OF NORTHEASTERN UNIVERSITY;2004-08
2 WANG Gui-jun (College of Mathematics Science,Tianjin Normal University,Tianjin 300074,China);Convergence of generalized fuzzy choquet integrals[J];Journal of Northeast Normal University (Natural Science Edition);2005-01
3 LI Hai-yang~(1,2),LI Sheng-gang~1(1.College of Mathematics and Information Science,Shanxi Normal University,Xi'an 710062,China;2.School of Science,Xi'an University of Engineering Science and Technology,Xi'an 710048,China);The inverse limits and direct limits in category of CoFrm[J];Journal of Northeast Normal University;2006-02
4 ZHANG Li-hong(College of Mathematics,Jilin Normal University,Siping 136000,China);The codivisible modules and semisimple rings of relativelg hereditarg torsion theory[J];Journal of Northeast Normal University(Natural Science Edition);2007-02
5 GU Wen-xiang,LIU Ke-cheng(1.School of Computer,Northeast Normal University,Changchun 130024,China;2.School of Foreign,Northeast Normal University,Changchun 130024,China);Planner with plan library design model research[J];Journal of Northeast Normal University(Natural Science Edition);2007-04
6 LI Xiao-ping(School of Mathematics Science, Tianjin Normal University , Tianjin 300074,China);The Intuitionistic Fuzzy Group with respect to Trigonal Norms and Its Homomorphic Image[J];Fuzzy Systems and Mathematics;2005-01
7 LI Juan,ZHANG Cheng-yi(Department of Mathematics,Hainan Normal University,Haikou 571158,China);Intuitionistic Fuzzy Quotient Group and Its Isomorphism[J];Fuzzy Systems and Mathematics;2008-05
8 LI Xiao-pinga,WANG Gui-junb(a.School of Management;b.College of Math.Science,Tianjin Normal University,Tianjin 300387,China);THE HYPER-INTUITIONISTIC FUZZY GROUPS WITH RESPECT TO T-S NORMS AND THEIR HOMOMORPHISMS[J];Journal of Mathematics;2008-01
9 LIN Meng-lei (Dept. of Math., Zhangzhou Teachers College, Zhangzhou 363000, China);Level Subgroup on the Intuitionistic Fuzzy Groups and the Intuitionstic Fuzzy Normal Subgroups[J];Journal of ZhangZhou Teachers College;2005-01
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 Chen Degang(Department of Mathematics,Haerbin Industral University,Haerbin,150000)Gu Wenxiang(Department of Computer Science, Northeast Normal University,Changchun,130024);The Structures of Fuzzy Subgroups on Cyclical Groups[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1998-02
2 Sun Shaoquan Gu Wenxiang (Department of Computer Science, Northeast Normal University,Changchun,130024);Fuzzy Algebras over Interval-Valued Fuzzy Fields[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1998-03
3 Zhang Guisheng (Guangxi Institute of Technology, Liuzhou,545005);^ Fuzzy relations on groups and rings[J];FUZZY SYSTEMS AND MATHEMATICS;1998-02
4 Meng Guangwu(Department of Mathematics, Liaocheng Teacher's College, Shandong 252000, P. R. China);Basic Theory for Interval-Valued Fuzzy Sets[J];Mathematica Applicata;1993-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved