期刊：
Journal of Computational and Applied Mathematics,2010年234(5):1347-1355 ISSN：0377-0427
通讯作者：
Qin, K.(keyunqin@263.net)
作者机构：
[Qin, Keyun; Hong, Zhiyong] Department of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;[Hong, Zhiyong] School of Informatics, Wuyi University, Jiangmen, Guangdong 529020, China
摘要：
Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we deal with the algebraic structure of soft sets. The lattice structures of soft sets are constructed. The concept of soft equality is introduced and some related properties are derived. It is proved that soft equality is a congruence relation with respect to some operations and the soft quotient algebra is established. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved.
期刊：
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics,2011年84(6):066116 ISSN：1539-3755
通讯作者：
Hu, YQ
作者机构：
[Havlin, Shlomo; Hu, Yanqing; Cohen, Reuven; Ksherim, Baruch] Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel;[Hu, Yanqing] School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China;[Hu, Yanqing] Department of Systems Science, School of Management and Center for Complexity Research, Beijing Normal University, Beijing 100875, China;[Cohen, Reuven] Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
关键词：
Coupled networks - First order transitions - Interconnected network - Second order transition - Second orders
摘要：
Robustness of two coupled networks systems has been studied separately only for dependency coupling [Buldyrev et al., Nature (London) 464, 1025 (2010)] and only for connectivity coupling [Leicht and D'Souza, e-print arXiv:0907.0894]. Here we study, using a percolation approach, a more realistic coupled networks system where both interdependent and interconnected links exist. We find rich and unusual phase-transition phenomena including hybrid transition of mixed first and second order, i.e., discontinuities like in a first-order transition of the giant component followed by a continuous decrease to zero like in a second-order transition. Moreover, we find unusual discontinuous changes from second-order to first-order transition as a function of the dependency coupling between the two networks.
关键词：
Cyclic code - Data storage systems - Efficient encoding - Linear codes - Odd prime - Sphere packing bound - Weight distributions
摘要：
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, a class of three-weight cyclic codes over F-p whose duals have two zeros is presented, where p is an odd prime. The weight distribution of this class of cyclic codes is settled. Some of the cyclic codes are optimal. The duals of a subclass of the cyclic codes are also studied and proved to be optimal. (C) 2013 Elsevier Inc. All rights reserved.
期刊：
INFORMATION SCIENCES,2008年178(21):4138-4141 ISSN：0020-0255
通讯作者：
Qin, K.(keyunqin@263.net)
作者机构：
[Qin, Keyun; Yang, Jilin] Department of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;[Pei, Zheng] School of Mathematics and Computer Engineering, Xihua University, Chengdu, Sichuan 610039, China
作者机构：
[Ruan, Da] Department of Applied Mathematics and Computer Science, Ghent University, 9000 Gent, Belgium;[Ruan, Da] Belgian Nuclear Research Centre (SCKCEN), Boeretang 200 2400 Mol, Belgium;[Li, Tianrui] Laboratory of Intelligent Information Processing, School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China;[Zou, Weili] School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China;[Liu, Dun] School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China
关键词：
Rough sets;interesting knowledge;accuracy;coverage;dynamic information systems;data mining
摘要：
Knowledge in an information system evolves with its dynamical environment. A new concept of interesting knowledge based on both accuracy and coverage is defined in this paper for dynamic information systems. An incremental model and approach as well as its algorithm for inducing interesting knowledge are proposed when the object set varies over time. A case study validates the feasibility of the proposed method.
期刊：
Computers and Mathematics with Applications,2011年62(12):4635-4645 ISSN：0898-1221
通讯作者：
Meng, D.(danmeng2006@gmail.com)
作者机构：
[Keyun Qin] College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;[Dan Meng] School of Economics and Information Engineering, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130, China;[Xiaohong Zhang] Department of Mathematics, College of Arts and Sciences, Shanghai Maritime University, Shanghai, 201306, China
期刊：
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics,2013年88(5):052805 ISSN：1539-3755
通讯作者：
Hu, Y.
作者机构：
[Havlin, Shlomo; Zhou, Dong] Physics Department, Bar-Ilan University, Ramat Gan 52900, Israel;[Zhang, Rui; Hu, Yanqing] Levich Institute and Physics Department, City College of New York, New York, NY 10031, United States;[line] Institute of Geography, University of Lausanne, Lausanne 1015, Switzerland;[Zhou, Dong; Han, Zhangang] Department of Systems Science, Beijing Normal University, Beijing 100875, China;[Hu, Yanqing] School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
摘要：
Real data show that interdependent networks usually involve intersimilarity. Intersimilarity means that a pair of interdependent nodes have neighbors in both networks that are also interdependent [Parshani et al. Europhys. Lett. 92, 68002 (2010)]. For example, the coupled worldwide port network and the global airport network are intersimilar since many pairs of linked nodes (neighboring cities), by direct flights and direct shipping lines, exist in both networks. Nodes in both networks in the same city are regarded as interdependent. If two neighboring nodes in one network depend on neighboring nodes in the other network, we call these links common links. The fraction of common links in the system is a measure of intersimilarity. Previous simulation results of Parshani et al. suggest that intersimilarity has considerable effects on reducing the cascading failures; however, a theoretical understanding of this effect on the cascading process is currently missing. Here we map the cascading process with intersimilarity to a percolation of networks composed of components of common links and noncommon links. This transforms the percolation of intersimilar system to a regular percolation on a series of subnetworks, which can be solved analytically. We apply our analysis to the case where the network of common links is an Erdos-Renyi (ER) network with the average degree K, and the two networks of noncommon links are also ER networks. We show for a fully coupled pair of ER networks, that for any K>/=0, although the cascade is reduced with increasing K, the phase transition is still discontinuous. Our analysis can be generalized to any kind of interdependent random network systems.
期刊：
IEEE TRANSACTIONS ON INFORMATION THEORY,2013年59(10):6674-6682 ISSN：0018-9448
通讯作者：
Zhou, Zhengchun
作者机构：
[Ding, Cunsheng] Department of Computer Science and Engineering, Hong Kong University of Science and Technology, ClearWater Bay, Kowloon, Hong Kong;[Zhang, Aixian] Department of Mathematical, Xi'An University of Technology, Xi'an, 710048, China;[Luo, Jinquan] Department of Informatics, University of Bergen, N-5020 Bergen, Norway;[Zhou, Zhengchun] School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China;[Zhou, Zhengchun] State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China
期刊：
IEEE TRANSACTIONS ON INFORMATION THEORY,2012年58(1):453-458 ISSN：0018-9448
通讯作者：
Zhou, Z.(zzc@home.swjtu.edu.cn)
作者机构：
[Parampalli, Udaya] Department of Computer Science and Software Engineering, University of Melbourne, VIC 3010, Australia;[Tang, Xiaohu; Niu, Xianhua] Institute of Mobile Communications, Southwest Jiaotong University, Chengdu 610031, China;[Zhou, Zhengchun] School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China;[Zhou, Zhengchun] State Key Laboratory of Inte-grated Services Networks, Xidian University, Xi'an, 710071, China
期刊：
IEEE Transactions on Signal Processing,2017年65(6):1370-1382 ISSN：1053-587X
通讯作者：
Zhou, ZC
作者机构：
[Mo, Qun] Department of Mathematics, Zhejiang University, Hangzhou, 310027, China;[Wang, Jian] Department of Electrical and Computer Engineering, Duke University, Durham, NC, 27708, United States;[Tang, Xiaohu] Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, 610031, China;[Wen, Jinming] ENS de Lyon, Laboratoire LIP (U. Lyon CNRS, ENSL, INRIA, UCBL), Lyon, 69007, France;[Wen, Jinming] Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2V4, Canada
摘要：
In this paper, we give some new global regularity criteria for three-dimensional incompressible magnetohydrodynamics (MHD) equations. More precisely, we provide some sufficient conditions in terms of the derivatives of the velocity or pressure, for the global regularity of strong solutions to 3D incompressible MHD equations in the whole space, as well as for periodic boundary conditions. Moreover, the regularity criterion involving three of the nine components of the velocity gradient tensor is also obtained. The main results generalize the recent work by Cao and Wu (2010 Two regularity criteria for the 3D MHD equations J. Diff. Eqns 248 2263-74) and the analysis in part is based on the works by Cao C and Titi E (2008 Regularity criteria for the three-dimensional Navier-Stokes equations Indiana Univ. Math. J. 57 2643-61; 2011 Gobal regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor Arch. Rational Mech. Anal. 202 919-32) for 3D incompressible Navier-Stokes equations.
摘要：
Key issues for resolution-based automated reasoning in lattice-valued first-order logic LF(X) are investigated with truth-values in a lattice-valued logical algebraic structure lattice implication algebra (LIA). The determination of resolution at a certain truth-value level (called alpha-resolution) in LF(X) is proved to be equivalently transformed into the determination of alpha-resolution in lattice-valued propositional logic LP(X) based on LIA. The determination of alpha-resolution of any quasi-regular generalized literals and constants under various cases in LP(X) is further analyzed, specified, and subsequently verified. Hence the determination of alpha-resolution in LF(X) can be accordingly solved to a very broad extent. which not only lays a foundation for the practical implementation of automated reasoning algorithms in LF(X). but also provides a key support for alpha-resolution-based automated reasoning approaches and algorithms in LIA based linguistic truth-valued logics. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
作者机构：
[Havlin, Shlomo] Minerva Center and Physics Department, Bar-Ilan University, Ramat Gan 52900, Israel;[Hu, Yanqing; n A.] Levich Institute and Physics Department, City College of New York, New York, NY 10031, United States;[Hu, Yanqing] School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
通讯机构：
[Hu, Yanqing] CUNY City Coll, Levich Inst, New York, NY 10031 USA.
关键词：
Empirical data - Facebook - Financial system - In networks - Local correlations - Multiplex networks - Scaling forms - Social media
摘要：
A fundamental problem in network science is to predict how certain individuals are able to initiate new networks to spring up "new ideas." Frequently, these changes in trends are triggered by a few innovators who rapidly impose their ideas through "viral" influence spreading, producing cascades of followers and fragmenting an old network to create a new one. Typical examples include the rise of scientific ideas or abrupt changes in social media, like the rise of Facebook to the detriment of Myspace. How this process arises in practice has not been conclusively demonstrated. Here, we show that a condition for sustaining a viral spreading process is the existence of a multiplex-correlated graph with hidden "influence links." Analytical solutions predict percolation-phase transitions, either abrupt or continuous, where networks are disintegrated through viral cascades of followers, as in empirical data. Our modeling predicts the strict conditions to sustain a large viral spreading via a scaling form of the local correlation function between multilayers, which we also confirm empirically. Ultimately, the theory predicts the conditions for viral cascading in a large class of multiplex networks ranging from social to financial systems and markets.
期刊：
IEEE TRANSACTIONS ON INFORMATION THEORY,2011年57(6):3831-3840 ISSN：0018-9448
通讯作者：
Zhou, ZC
作者机构：
[Tang, Xiaohu; Zhou, Zhengchun; Peng, Daiyuan] Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, 610031, China;[Parampalli, Udaya] Department of Computer Science and Software Engineering, University of Melbourne, VIC 3010, Australia;[Zhou, Zhengchun] School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China
期刊：
INFORMATION SCIENCES,2009年179(14):2325-2332 ISSN：0020-0255
通讯作者：
Pei, Z.(pqyz@263.net)
作者机构：
[Xu, Yang; Qin, Keyun] SW Jiaotong Univ, Dept Math, Chengdu 610031, Sichuan, Peoples R China.;[Ruan, Da] CEN SCK, Belgian Nucl Res Ctr, B-2400 Mol, Belgium.;[Ruan, Da] Univ Ghent, B-9000 Ghent, Belgium.;[Pei, Zheng] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Sichuan, Peoples R China.
通讯机构：
[Pei, Zheng] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Sichuan, Peoples R China.
关键词：
Data sets - Fuzzy statement - Linguistic data summary - Linguistic terms - Numerical examples - Personnel departments - The 2-tuple linguistic representation model - The LOWA operator - Truth degrees
摘要：
A linguistic data summary of a given data set is desirable and human consistent for any personnel department. To extract complex linguistic data summaries, the LOWA operator is used from fuzzy logic and some numerical examples are also provided in this paper. To obtain a complex linguistic data summary with a higher truth degree, genetic algorithms are applied to optimize the number and membership functions of linguistic terms and to select a part of truth degrees for aggregations, in which linguistic terms are represented by the 2-tuple linguistic representation model. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.
作者机构：
[Qi, Yanfeng] School of Science, Hangzhou Dianzi University, Hangzhou, China;[Li, Nian; Helleseth, Tor] Department of Informatics, University of Bergen, Bergen, Norway;[Tang, Chunming] School of Mathematics and Information, China West Normal University, Nanchong, China;[Zhou, Zhengchun] School of Mathematics, Southwest Jiaotong University, Chengdu, China
通讯机构：
[Tang, Chunming] China West Normal Univ, Sch Math & Informat, Nanchong 637002, Peoples R China.;[Zhou, Zhengchun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Li, Nian; Helleseth, Tor] Univ Bergen, Dept Informat, N-5020 Bergen, Norway.;[Qi, Yanfeng] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China.
关键词：
Linear codes;weight distribution;weakly regular bent functions;cyclotomic fields;secret sharing schemes
作者：
Zhou, Zhengchun;Li, Nian;Fan, Cuiling;Helleseth, Tor
期刊：
Designs, Codes, and Cryptography,2016年81(2):283-295 ISSN：0925-1022
通讯作者：
Fan, Cuiling(cuilingfan@163.com)
作者机构：
[Li, Nian; Helleseth, Tor] Department of Informatics, University of Bergen, Bergen, 5020, Norway;[Fan, Cuiling; Zhou, Zhengchun] School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China