Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《FUZZY SYSTEMS AND MATHEMATICS》 1995-04
Add to Favorite Get Latest Update

Theory of L_β-Nested Sets And L_α-Nested Sets And Applications

Shi Fugui(Dep of Math.,Yantai Teachers College, Yantai, Shandong, 264025)  
In this paper, we introduce the concepts of L_β-nested sets and L_α-nested sets whichare based on the concepts of minimal set and maximal set where L is a completely dis-tributive lattice. They are generalizations of nested sets in [1] and different from L-nested sets in [1].We obtain some new descomposition theorems and representationtheorems of L-fuzzy sets. Further we give their some applications in L-fuzzy algebra andL-fuzzy topology.
【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 10 Hits
1 Xiu Zhenyu Chang Zhi Liu bo Zhang Jie (College of Science,North China Univ.of Tech.,100144,Beijing,China);L-fuzzy Closure Operator and Its Equivalent Characterizations[J];Journal of North China University of Technology;2009-03
2 Shi Fugui (Department of mathematics,Yantai Teachers University,Shandong Yantai 264025);T * 2 Separation Axiom of L-Fuzzy Topological Space[J];JOURNAL OF FUSHUN PETROLEUM INSTITUTE;1997-02
3 Chen Ke(Maoming College);STRATIFIED CONNECTEDNESS IN L-TOPOLOGICAL SPACES[J];Natural Science Journal of Harbin Normal University;2004-04
4 Shan Jing(Harbin Normal University);L-FUZZY PSEUDO IDEAL AND ITS PROPERTIES[J];Natural Science Journal of Harbin Normal University;2004-06
5 Meng Fanyou(Mudanjiang Teachers College) Wu Guangqing(Jinan University);CHARACTERIZATIONS OF L-FUZZY RESIDUE CLASSES OF L-FUZZY IDEALS[J];Natural Science Journal of Harbin Normal University;2006-05
6 SHEN Zheng wei, JU Hong mei (Dept.of Math.,Liaoning Teachers University,Dalian 116029,Laoning);Axiomatic description of cut sets of μ-Fuzzy set[J];Journal of Huanggang Normal Universirt;2001-03
7 Wang Lan1,2(1.Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China;2. Department of Mathematics, Mudanjiang Teachers’ College, Mudanjiang 157012, China);Characterizations of Anti-L-fuzzy normal subgroup of group G[J];Journal of Natural Science of Heilongjiang University;2008-03
8 Zhao Lijun; Shi Fugui;Representations of the Derived Operator in an L─Value Induced Space[J];Journal of Harbin University of Science and Technology;1996-05
9 TANG Xiao-wen~1, ZHAO Li-jun~2,ZHANG Zhi-xu~1(1. College of Science, Jiamusi University, Jiamusi 154007, China;2. Department of Computer, Yichun Division, Heilongjiang University, Yichun 153000, China);DECOMPOSITION AND REPRESENTATION THEOREMS OF L-FUZZY MAPPINGS[J];Journal of Jiamusi University(Natural Science Edition);2004-02
10 TANG Xiao-wen,ZHAO Li-jun(Fujian University of Technology,Fuzhou 350014,China);New Characterizations on L-fuzzy Homomorphism of L-fuzzy Subrings[J];Journal of Jiamusi University(Natural Science Edition);2007-06
China Proceedings of conference Full-text Database 5 Hits
1 ZHANG Ke-ming (Department of Mathematics,Capital Normal University,Beijing, 100037);Competely Normal Separation Axiom In L-topologcal Spaces[A];[C];2002
2 Hao Jun - ling (Department of Mathematics,Capital Normal University,Beijing, 100037);Stratified Completely T_2 Separation in L-Topological Spaces[A];[C];2002
3 WEI Li-hong, ZAO Li-jun (Department of Computer,Heilongjiang University Yichun division,Yichun 153000,China);L-Fuzzy Homomorphisms of L-Fuzzy Ideals in L-Fuzzy Subrings[A];[C];2002
4 ZHANG Ke-ming~1, SUN Shu-zhen~1, HAO Jun-ling~2 (1. Department of Mathematics & Physics, North China Electric Power University(Beijing), Beijing 102206; 2. School of Information Technology and Management Engineering, University of International Business and Economics, Beijing 100029,China);A Certain Presentation of Greatest Maximal Set in Finite Distributive Lattice[A];[C];2004
5 Jie Zhang,Zhi Chang,Bo Liu,Zhenyu Xiu College of Science,North China University of Technology,Beijing,100144,P.R.China.;L-Fuzzy Co-Alexandrov Topological Spaces[A];[C];2008
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Shi Fu-gui (Mudan jiang teachers' college);THE FUZZY DERIVED OPERATOR INDUCED BY THE DERIVED OPERATOR OF ORDINARY SET AND FUZZY TOPOLOGY INDUCED BY THE FUZZY DERIVED OPERATOR[J];Fuzzy Systems and Mathematics;1991-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Yan-jun (College of Mathematics and Computer Science,Yanan University,Yanan 716000,China);ω~*T_i separation axioms in Lω-spaces(Ⅱ)[J];Journal of Anhui University(Natural Sciences);2008-04
2 SU Fa-hui(Department of Mathematics and science,AnHui University of Architecture,Hefei 230601,China);Application of Fuzzy Support Vector Machines in the beforehand alarm of grain safe keeping[J];Journal of Anhui Institute of Architecture & Industry(Natural Science);2009-02
3 WANG Yan-jun, MA Bao-guo(College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,China);Weak T_2 Separation Axiom on L-smooth Topological Spaces[J];Journal of Anhui Normal University(Natural Science);2006-05
4 PU Yishu (Department of Mathematics-Computer Science, Shaanxi University of Technology, Hanzhong 723000, Shaanxi, China);In BCI-Algebras Rough Fuzzy Subalgebras[J];Journal of Ankang Teachers College;2005-05
5 ZHAO Qiu\ \ ZHAO Yan ying (Department of Primary Education,Anshan Normal University,Anshan Liaoning 114011,China);(λ,1]-fuzzy Subgroup[J];Journal of Anshan Teachers College;2002-03
6 Zhang Yijun,Rong Xiaoli,Qian Qihu,Su Chang (Engineering Institute of Corps of Engineers,PLA Univ.of Sci.& Tech.,Nanjing 210007,China);Application of TOPSIS Method in Analysing the Subway Engineering Risk[J];Chinese Journal of Underground Space and Engineering;2010-04
7 ZHAO Wen-xia(North China Electric Power University Baoding 071003,China);Design and Application of a Fuzzy Classified Rule Based on Learning from Fuzzy Examples[J];Journal of Baoding Teachers College;2004-02
8 Meng Han Meng Guangwu(Liaocheng Teachers College ,Liaocheng City);L-fuzzy Topological Subgroups and Quotient Groups[J];;1996-08
9 LIANG Qing-wei,SONG Bao-wei,PAN Guang (College of Marine,Northwestern Polytechnical University,Xi'an 710072,Shaanxi,China);Fuzzy Ideal Point Method for Estimation of Life Cycle Cost and Effectiveness of Torpedo Weapon System[J];Acta Armamentarii;2006-01
10 Li Angui; Liu Guoquan; Zu Kejun; Zeng Qingli(Department of Mathematics and Mechanics, USTB, Beijing 100083, PRC;Department of Materials Science and Engineering; National Key Lab of New Metallic Materials; Beijing United University, College of Electricity;Application of Multivariate Fuzzy Pattern Recognition in Grading of Carbides in Tool Steels[J];JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING;1994-02
China Proceedings of conference Full-text Database 6 Hits
1 ZHANG Kai YAO Jian-gang Li Wei He Hui YUAN Xiao-tao(1.College of Electrical and Information Engineering,Hunan University,Changsha 410082,Hunan Province,China;2.Hubei Electrical Power Dispatch and Communication Bureau,Wuhan 430077,Hubei Province,China;3.Hunan Electrical Power Dispatch and Communication Bureau,Changsha 410007,China);Analysis Model and Processing Method of Temperature Cumulative Effect of Heat Study in Load Forecasting[A];[C];2007
2 Pang Yanjun Wang Xiaorui Li Wenguo Science of college, Hebei University of Engineering;The non-completeness of t-norm on composition of fuzzy relation matrix[A];[C];2006
3 ZHOU Wu - neng (Mathematics Institute, Zhejiang Nonnal University, Jinhua, Zhejiang, 321004);Semi-regularity Strong Fuzzy Compactness[A];[C];2002
4 ZHANG Ke-ming (Department of Mathematics,Capital Normal University,Beijing, 100037);Competely Normal Separation Axiom In L-topologcal Spaces[A];[C];2002
5 Bingyan Gao~1 Yue Liu~2 1 Shandong Electric Power School, 2 Institute of Computing Technology,Chinese Academy of Sciences.100080;Research on the Improving ISODATA Clustering Algorithm Based on Entropy Weighed Method[A];[C];2007
6 SUN Hong-xia,ZHANG Qiang (School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China);Profit Allocation in Games Based on Attitude Index Shapley Value[A];[C];2009
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Wu Xuezhi Duan Huixian Zhang Jie(College of Science,North China Univ.of Tech.,100041,Beijing,China);L-Fuzzy Domain and its Equivalent Characterization[J];Journal of North China University of Technology Beijing China;2006-03
2 Wang Pei-zhuang;Chen Xing-gou;AN EXTENSION OF THE NEGOITA-RALESCU FLOU SETS REPRESENTATION THEOREM[J];Journal of Beijing Normal University(Natural Science);1980-Z1
3 Luo Chengzhong;NESTED SET AND FUZZY GROUPS[J];Journal of Beijing Normal University(Natural Science);1986-04
4 Li Hongxing Luo Chengzhong Wang Peizhuang (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);HOW TO DEFINE MAPPINGS OF FUZZY SETS[J];Journal of Beijing Normal University(Natural Science);1993-01
5 Zeng WenyiShi Yu (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);A KIND OF APPROACH TO NEW REPRESENTATION THEOREM[J];Journal of Beijing Normal University(Natural Science);2003-01
6 Zeng Wenyi Li Hongxing Shi Yu (Department of Mathematics,Beijing Normal University,100875,Beijing,China)$$$$;DECOMPOSITION THEOREM OF INTERVAL VALUE FUZZY SETS[J];Journal of Beijing Normal University(Natural Science);2003-02
7 Zeng Wenyi Li Hongxing Shi Yu (Department of Mathematics, Beijing Normal University, 100875, Beijing, China);REPRESENTATION THEOREM OF INTERVAL-VALUED FUZZY SETS[J];Journal of Beijing Normal University(Natural Science);2003-04
8 Zhao Yibin1,2) Zeng Wenyi1) Li Hongxing1)(1)School of Mathematical Sciences,Beijing Normal University,100875, Beijing,China;2)Department of Basic Course,College of Disaster Prevention Technics,101601,Yanjiao East of Beijing,China);EXTENSION PRINCIPLE ON INTERVAL-VALUED FUZZY SET[J];Journal of Beijing Normal University(Natural Science);2007-01
9 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
10 Zhan Xueqiou (Jilin Institute of Chemical Technology,Jilin,132022);Lower Decomposition Theorem and Lower Representation Theorem of Four Kinds of Cutting Set[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1999-02
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 Xiu Zhenyu Chang Zhi Liu bo Zhang Jie (College of Science,North China Univ.of Tech.,100144,Beijing,China);L-fuzzy Closure Operator and Its Equivalent Characterizations[J];Journal of North China University of Technology;2009-03
2 Feng Yuan (Department of Mathematics and Physics , Beijing Institute of Petro-chemical Technology, Beijing 102617);A Fuzzy Assignment Problem and Its Tabu Search Algorithm[J];Journal of Beijing Institufe of Petrochemical Technology;2004-03
3 WANG Yan-jun,MA Bao-guo(College of Mathematics and Computer Science,Yanan University,Yanan 716000,China);L-smooth semi-preopen sets and L-smooth semi-precontinuity[J];Basic Sciences Journal of Textile Universities;2006-04
4 YANG Zhi-hui~1,LIU Long-zhang~2(1.East China Institute of Technology,Fuzhou 344000,China;2.Ningbo University of Technology,Ningbo 315016,China);The Homomorpohism of L-Fuzzy Sublattice Groups[J];College Mathematies;2005-05
5 WANG Yan-jun,MA Bao-guo(College of Mathematics and Computer Science,Yanan University,Yanan 716000,China);L-smooth Preopen Sets and L-smooth Pre-irresolute Mappings[J];Journal of Gansu Sciences;2007-02
6 SHANG You-guang1,2,ZHANG Cheng3,XIA Zun-quan1 1.School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China; 2.School of Finance,Central University of Finance and Economics,Beijing 100081,China; 3.College of Information Engineering,Dalian University,Dalian 116622,China;n-Dimensional convex fuzzy sets and n-dimensional fuzzy numbers[J];Journal of Dalian University of Technology;2012-02
7 Shan Jing(Harbin Normal University);L-FUZZY PSEUDO IDEAL AND ITS PROPERTIES[J];Natural Science Journal of Harbin Normal University;2004-06
8 ZHEN Jie, GAO Yu-jun, ZHANG Xiao-hong(Editorail Department of Journal, Harbin Univ. Sci. Tech., Harbin 150080, China; Qingda Group of Daqing, Daqing 163316, China; Harbin Heitudi Agricultural Resource Co. Ltd., Harbin 150001, China);Relationship Between the Optical Density of the Modified KHm Solution and Mass Fraction of the Modified KHm Solution[J];Journal of Harbin University of Science and Technology;2002-03
9 TANG Xiao-wen,ZHAO Li-jun(Fujian University of Technology,Fuzhou 350014,China);New Characterizations on L-fuzzy Homomorphism of L-fuzzy Subrings[J];Journal of Jiamusi University(Natural Science Edition);2007-06
10 WANG Shu chen (Department of Mathematics,Dalian Educational College,Dalian 116000,China);Characterizations of Fuzzifying Continuous Mappings[J];Journal of Jinzhou Teachers College (Natural Sciences Edition);2001-04
China Proceedings of conference Full-text Database 2 Hits
1 WEI Li-hong, ZAO Li-jun (Department of Computer,Heilongjiang University Yichun division,Yichun 153000,China);L-Fuzzy Homomorphisms of L-Fuzzy Ideals in L-Fuzzy Subrings[A];[C];2002
2 Jie Zhang,Zhi Chang,Bo Liu,Zhenyu Xiu College of Science,North China University of Technology,Beijing,100144,P.R.China.;L-Fuzzy Co-Alexandrov Topological Spaces[A];[C];2008
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Wany Guojun(Department of Mathematics);POINTWISE TOPOLOGY ON COMPLETELY DISTRIBUTIVE LATTICES(Ⅱ)[J];Journal of Shaanxi Normal University(Natural Science Edition);1985-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved