On soft equality
WOS被引频次：81
SCI-E EI
作者：
Qin, Keyun* ;Hong, Zhiyong
期刊：
Journal of Computational and Applied Mathematics ,2010年234(5):1347-1355 ISSN：0377-0427
通讯作者：
Qin, Keyun
作者机构：
[Qin, Keyun; Hong, Zhiyong] SW Jiaotong Univ, Dept Math, Chengdu 610031, Sichuan, Peoples R China.;[Hong, Zhiyong] Wuyi Univ, Sch Informat, Jiangmen 529020, Guangdong, Peoples R China.
通讯机构：
[Qin, Keyun] SW Jiaotong Univ, Dept Math, Chengdu 610031, Sichuan, Peoples R China.
关键词：
08Axx;Soft sets;Union;Intersection;Complement;Soft equality;Soft quotient algebra
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.
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英文
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A Sharp Condition for Exact Support Recovery With Orthogonal Matching Pursuit
WOS被引频次：62
ESI高被引 SCI-E EI
作者：
Wen, Jinming;Zhou, Zhengchun* ;Wang, Jian;Tang, Xiaohu;Mo, Qun
期刊：
IEEE Transactions on Signal Processing ,2017年65(6):1370-1382 ISSN：1053-587X
通讯作者：
Zhou, Zhengchun
作者机构：
[Wen, Jinming] Univ Lyon, CNRS, ENSL, ENS Lyon,Lab LIP,INRIA,UCBL, F-69007 Lyon, France.;[Wen, Jinming] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2V4, Canada.;[Zhou, Zhengchun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Zhou, Zhengchun] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China.;[Wang, Jian] Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA.
通讯机构：
[Zhou, Zhengchun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.
关键词：
Compressed sensing (CS);restricted isometry property (RIP);restricted isometry constant (RIC);orthogonal matching pursuit (OMP);support recovery
摘要：
Support recovery of sparse signals from noisy measurements with orthogonal matching pursuit (OMP) has been extensively studied. In this paper, we show that for any K-sparse signalx, if a sensingmatrixAsatisfies the restricted isometry property (RIP) with restricted isometry constant δ<inf>k+1</inf><1/√K + 1, then under some constraints on the minimum magnitude of nonzero elements of x, OMP exactly recovers the support of x from its measurements y = Ax + ρin K iterations, where ρis a noise vector that is ℓ2 or ℓ∞bounded. This sufficient condition is sharp in terms of δ<inf>K+1</inf>since for any given positive integer K and any 1/√K + 1 ≤δ<1, there always exists amatrixA satisfying the RIP with δ<inf>K+1</inf>= δfor which OMP fails to recover a K-sparse signal x in K iterations. Also, our constraints on the minimum magnitude of nonzero elements of x are weaker than existing ones. Moreover, we propose worst case necessary conditions for the exact support recovery of x, characterized by theminimum magnitude of the nonzero elements of x. ©1991-2012 IEEE.
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英文
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SOLVING LOG-DETERMINANT OPTIMIZATION PROBLEMS BY A NEWTON-CG PRIMAL PROXIMAL POINT ALGORITHM
WOS被引频次：30
SCI-E EI
作者：
Wang, Chengjing* ;Sun, Defeng;Toh, Kim-Chuan
期刊：
SIAM JOURNAL ON OPTIMIZATION ,2010年20(6):2994-3013 ISSN：1052-6234
通讯作者：
Wang, Chengjing
作者机构：
[Wang, Chengjing] SW Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China.;[Toh, Kim-Chuan; Sun, Defeng] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore.;[Sun, Defeng] Natl Univ Singapore, NUS Risk Management Inst, Singapore 119076, Singapore.;[Toh, Kim-Chuan] Singapore MIT Alliance, Singapore 117576, Singapore.
通讯机构：
[Wang, Chengjing] SW Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China.
关键词：
log-determinant optimization problem;sparse inverse covariance selection;proximal point algorithm;Newton's method
摘要：
We propose a Newton-CG primal proximal point algorithm (PPA) for solving large scale log-determinant optimization problems. Our algorithm employs the essential ideas of PPA, the Newton method, and the preconditioned CG solver. When applying the Newton method to solve the inner subproblem, we find that the log-determinant term plays the role of a smoothing term as in the traditional smoothing Newton technique. Focusing on the problem of maximum likelihood sparse estimation of a Gaussian graphical model, we demonstrate that our algorithm performs favorably compared to existing state-of-the-art algorithms and is much preferred when a high quality solution is required for problems with many equality constraints. ©2010 Society for Industrial and Applied Mathematics.
语种：
英文
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Characteristics of successful opinion leaders in a bounded confidence model
WOS被引频次：10
SCI-E SSCI EI
作者：
Chen, Shuwei* ;Glass, David H.;McCartney, Mark
期刊：
Physica A: Statistical Mechanics and its Applications ,2016年449:426-436 ISSN：0378-4371
通讯作者：
Chen, Shuwei
作者机构：
[Chen, Shuwei] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Glass, David H.; McCartney, Mark; Chen, Shuwei] Univ Ulster, Sch Comp & Math, Shore Rd, Newtownabbey BT37 0QB, Antrim, North Ireland.
通讯机构：
[Chen, Shuwei] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Chen, Shuwei] Univ Ulster, Sch Comp & Math, Shore Rd, Newtownabbey BT37 0QB, Antrim, North Ireland.
关键词：
Opinion dynamics;Social networks;Bounded confidence model;Opinion leader;Characteristics
摘要：
This paper analyses the impact of competing opinion leaders on attracting followers in a social group based on a bounded confidence model in terms of four characteristics: reputation, stubbornness, appeal and extremeness. In the model, reputation differs among leaders and normal agents based on the weights assigned to them, stubbornness of leaders is reflected by their confidence towards normal agents, appeal of the leaders is represented by the confidence of followers towards them, and extremeness is captured by the opinion values of leaders. Simulations show that increasing reputation, stubbornness or extremeness makes it more difficult for the group to achieve consensus, but increasing the appeal will make it easier. The results demonstrate that successful opinion leaders should generally be less stubborn, have greater appeal and be less extreme in order to attract more followers in a competing environment. Furthermore, the number of followers can be very sensitive to small changes in these characteristics. On the other hand, reputation has a more complicated impact: higher reputation helps the leader to attract more followers when the group bound of confidence is high, but can hinder the leader from attracting followers when the group bound of confidence is low. ©2016 Elsevier B.V. All rights reserved.
语种：
英文
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Perfect Gaussian integer sequences of odd prime length
WOS被引频次：26
SCI-E EI
作者：
Yang, Yang* ;Tang, Xiaohu;Zhou, Zhengchun
期刊：
IEEE Signal Processing Letters ,2012年19(10):615-618 ISSN：1070-9908
通讯作者：
Yang, Yang
作者机构：
[Tang, Xiaohu; Yang, Yang] SW Jiaotong Univ, Prov Key Lab Informat Coding & Transmiss, Inst Mobile Commun, Chengdu 610031, Peoples R China.;[Zhou, Zhengchun] SW Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.
通讯机构：
[Yang, Yang] SW Jiaotong Univ, Prov Key Lab Informat Coding & Transmiss, Inst Mobile Commun, Chengdu 610031, Peoples R China.
关键词：
Autocorrelation;cyclotomy;Gaussian integer;odd perfect sequence;perfect sequence
摘要：
A Gaussian integer is a complex number whose real and imaginary parts are both integers. A Gaussian integer sequence is called perfect (odd perfect) if the out-of-phase values of the periodic (odd periodic) autocorrelation function are equal to zero. In this letter, for any odd prime p, using the cyclotomic classes of order 2 and 4 with respect to GF(p), we propose perfect and odd perfect Gaussian integer sequences of length p. Several examples are also given. ©2012 IEEE.
语种：
英文
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Extracting complex linguistic data summaries from personnel database via simple linguistic aggregations
WOS被引频次：26
SCI-E EI
作者：
Pei, Zheng* ;Xu, Yang;Ruan, Da;Qin, Keyun
期刊：
Information Sciences ,2009年179(14):2325-2332 ISSN：0020-0255
通讯作者：
Pei, Zheng
作者机构：
[Pei, Zheng] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Sichuan, Peoples R China.;[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.
通讯机构：
[Pei, Zheng] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Sichuan, Peoples R China.
关键词：
Linguistic data summary;Personnel database;Fuzzy statement;The LOWA operator;Genetic algorithms;The 2-tuple linguistic representation model
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.
语种：
英文
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A linguistic multi-criteria decision making approach based on logical reasoning
WOS被引频次：26
SCI-E EI
作者：
Chen, Shuwei* ;Liu, Jun;Wang, Hui;Xu, Yang;Augusto, Juan Carlos
期刊：
Information Sciences ,2014年258:266-276 ISSN：0020-0255
通讯作者：
Chen, Shuwei
作者机构：
[Wang, Hui; Chen, Shuwei; Liu, Jun] Univ Ulster, Sch Comp & Math, Newtownabbey BT37 0QB, North Ireland.;[Xu, Yang; Liu, Jun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Augusto, Juan Carlos] Middlesex Univ, Sch Sci & Technol, Dept Comp Sci, London N17 8HR, England.
通讯机构：
[Chen, Shuwei] Univ Ulster, Sch Comp & Math, Newtownabbey BT37 0QB, North Ireland.
关键词：
Decision making;Linguistic information;Computing with word;Lattice-valued logic;Approximate reasoning;Lattice implication algebra
摘要：
In real decision making problems, it is always more natural for decision makers to use linguistic terms to express their preferences/opinions in a qualitative way among alternatives than to provide quantitative values. Additionally, many of these decision making problems are under uncertain environments with vague and imprecise information involved. Following the idea of Computing with Words (CWW) methodology, we propose in this paper a linguistic valued qualitative aggregation and reasoning framework for multi-criteria decision making problems, where a linguistic valued algebraic structure is constructed for modelling the linguistic information involved in multi-criteria decision making problems, and a linguistic valued logic based approximate reasoning method is developed to infer the final decision making result. This method takes the advantage of handling the linguistic information, no matter totally ordered or partially ordered, directly without numerical approximation, and having a non-classical logic as its formal foundation for decision making process. ©2013 Elsevier Inc. All rights reserved.
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英文
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Some New Classes of Zero-Difference Balanced Functions
WOS被引频次：24
SCI-E EI
作者：
Zhengchun Zhou;Xiaohu Tang;Dianhua Wu;Yang Yang
期刊：
IEEE TRANSACTIONS ON INFORMATION THEORY ,2012年58(1):139-145 ISSN：0018-9448
通讯作者：
Zhou, Zhengchun
作者机构：
[Zhengchun Zhou] SW Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Zhengchun Zhou] Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R China.;[Xiaohu Tang; Yang Yang] SW Jiaotong Univ, Inst Mobile Commun, Chengdu 610031, Peoples R China.;[Dianhua Wu] Guangxi Normal Univ, Dept Math, Guilin 541004, Guangxi, Peoples R China.
通讯机构：
[Zhou, Zhengchun] SW Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.
关键词：
Constant-composition codes;constant-weight codes;difference systems of sets;partitioned difference families;zero-difference balanced function
摘要：
Zero-difference balanced (ZDB) functions were introduced recently by Ding for the construction of optimal constant-composition codes, and optimal and perfect difference systems of sets. They are closely related to partitioned difference families. In this paper, we present generic constructions of ZDB functions from functions with difference-balanced property. In particular, two classes of ZDB functions with new and flexible parameters are reported. Employing these new ZDB functions, we obtain at the same time optimal (1) constant-composition codes, (2) constant-weight codes, and (3) perfect difference systems of sets, all with new and flexible parameters. ©2006 IEEE.
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英文
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Some new approaches to constructing similarity measures
WOS被引频次：21
SCI-E EI
作者：
Li, Yingfang;Qin, Keyun;He, Xingxing*
期刊：
Fuzzy Sets and Systems ,2014年234:46-60 ISSN：0165-0114
通讯作者：
He, Xingxing
作者机构：
[Li, Yingfang; Qin, Keyun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China.;[Qin, Keyun; He, Xingxing] Southwest Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Sichuan, Peoples R China.
通讯机构：
[He, Xingxing] Southwest Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Sichuan, Peoples R China.
关键词：
Similarity measure;Fuzzy equivalence;Biresiduation;Fuzzy set
摘要：
The purpose of this paper is threefold. Firstly, based on the concept of fuzzy equivalence given by Fodor and Roubens, we propose different methods for the construction of fuzzy equivalencies from biresiduations, automorphisms, fuzzy negations, t-norms and t-conorms. Secondly, we give two manners of generating similarity measures of P.Z. Wang from fuzzy equivalencies. Finally, some properties of the two kinds of similarity measures are discussed and compared. (C) 2013 Elsevier B.V. All rights reserved.
语种：
英文
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A new construction of frequency-hopping sequences with optimal partial hamming correlation
WOS被引频次：19
SCI-E EI
作者：
Cai, Han* ;Zhou, Zhengchun;Yang, Yang;Tang, Xiaohu
期刊：
IEEE TRANSACTIONS ON INFORMATION THEORY ,2014年60(9):5782-5790 ISSN：0018-9448
通讯作者：
Cai, Han
作者机构：
[Tang, Xiaohu; Cai, Han] Southwest Jiaotong Univ, Informat Secur & Natl Comp Grid Lab, Chengdu 610031, Peoples R China.;[Yang, Yang; Zhou, Zhengchun] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China.;[Tang, Xiaohu] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China.
通讯机构：
[Cai, Han] Southwest Jiaotong Univ, Informat Secur & Natl Comp Grid Lab, Chengdu 610031, Peoples R China.
关键词：
Frequency-hopping sequence;frequency-hopping spread spectrum;Hamming correlation;generalized cyclotomy;partial Hamming correlation
摘要：
Frequency-hopping sequences (FHSs) with favorable partial Hamming correlation properties have important applications in many synchronization and multiple-access systems. In this paper, lower bounds on the partial Hamming correlation of FHSs and FHS sets are proposed. They slightly improve the known bounds by Eun et al. and Zhou et al. A construction of FHSs and FHS sets having optimal partial Hamming correlation with respect to the improved bounds is also presented based on the theory of generalized cyclotomy. Our construction yields optimal FHSs and FHS sets with new and flexible parameters not covered in this paper. ©1963-2012 IEEE.
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英文
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A fuzzy-set approach to treat determinacy and consistency of linguistic terms in multi-criteria decision making
SCI-E CPCI-S EI
作者：
Ma, J.* ;Ruan, D.;Xu, Y.;Zhang, G.
期刊：
International Journal of Approximate Reasoning ,2007年44(2):165-181 ISSN：0888-613X
通讯作者：
Ma, J.
作者机构：
[Ma, J.] SW Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China.;CEN SCK, Belgian Nucl Res Ctr, B-2400 Mol, Belgium.;Univ Ghent VIB, Dept Math & Comp Sci, B-9000 Ghent, Belgium.;Univ Technol Sydney, Fac Informat Technol, Broadway, NSW 2007, Australia.
通讯机构：
[Ma, J.] SW Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China.
会议名称：
Conference on Fuzzy Decision-Making
会议时间：
JUL 28-31, 2005
会议地点：
Beijing, PEOPLES R CHINA
会议主办单位：
SW Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China.^CEN SCK, Belgian Nucl Res Ctr, B-2400 Mol, Belgium.^Univ Ghent VIB, Dept Math & Comp Sci, B-9000 Ghent, Belgium.^Univ Technol Sydney, Fac Informat Technol, Broadway, NSW 2007, Australia.
关键词：
Multi-criteria decision making;Linguistic terms;Fuzzy sets;Determinacy of linguistic terms;Consistency of linguistic terms
摘要：
A fuzzy-set-based approach is presented to describe linguistic information in multi-criteria decision making. After having introduced concepts of determinacy and consistency of linguistic terms, the understandable degree and consistence degree of linguistic terms are illustrated by these two concepts. A case study is demonstrated for the proposed decision-making model with an analytical conclusion of both advantages and disadvantages. ©2006 Elsevier Inc. All rights reserved.
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英文
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The dimension and minimum distance of two classes of primitive BCH codes
WOS被引频次：15
ESI高被引 SCI-E EI
作者：
Ding, Cunsheng;Fan, Cuiling* ;Zhou, Zhengchun
期刊：
Finite Fields and their Applications ,2017年45:237-263 ISSN：1071-5797
通讯作者：
Fan, Cuiling
作者机构：
[Ding, Cunsheng] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Kowloon, Hong Kong, Peoples R China.;[Fan, Cuiling; Zhou, Zhengchun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.
通讯机构：
[Fan, Cuiling] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.
关键词：
94B15;11T71;BCH codes;Cyclic codes;Linear codes;Secret sharing;Weight distribution;Weight enumerator
摘要：
Cyclic Reed–Solomon codes, a type of BCH codes, are widely used in consumer electronics, communication systems, and data storage devices. This fact demonstrates the importance of BCH codes –a family of cyclic codes –in practice. In theory, BCH codes are among the best cyclic codes in terms of their error-correcting capability. A subclass of BCH codes are the narrow-sense primitive BCH codes. However, the dimension and minimum distance of these codes are not known in general. The objective of this paper is to determine the dimension and minimum distances of two classes of narrow-sense primitive BCH codes with designed distances δ=(q−1)q<sup>m−1</sup>−1−q<sup>⌊(m−1)/2⌋</sup>and δ=(q−1)q<sup>m−1</sup>−1−q<sup>⌊(m+1)/2⌋</sup>. The weight distributions of some of these BCH codes are also reported. As will be seen, the two classes of BCH codes are sometimes optimal and sometimes among the best linear codes known. ©2017 Elsevier Inc.
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英文
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Large Zero Autocorrelation Zones of Golay Sequences and Their Applications
WOS被引频次：14
SCI-E EI
作者：
Guang Gong;Fei Huo;Yang Yang
期刊：
IEEE TRANSACTIONS ON COMMUNICATIONS ,2013年61(9):3967-3979 ISSN：0090-6778
通讯作者：
Gong, Guang
作者机构：
[Guang Gong; Fei Huo] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada.;[Yang Yang] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China.
通讯机构：
[Gong, Guang] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada.
关键词：
Golay sequence;zero autocorrelation zone (ZACZ);synchronization;channel estimation
摘要：
Golay sequences have been studied for more than five decades since Golay first discovered those sequences. However, the periodic autocorrelation of a single Golay sequence is unknown. In this paper, for H≥2 being an arbitrary even integer, we show there exist three different constructions of H-ary Golay sequences with a zero autocorrelation zone (ZACZ) of length approximately an half, a quarter or one eighth of their period. Those new discoveries on Golay sequences can be explored during synchronization and detection at the receiver end and thus improve the performance of the communication system. We present the application of binary Golay sequences with ZACZ for intersymbol interference (ISI) channel estimation. Compared with m-sequences, Golay-sequence-aided channel estimation has perfect autocorrelations within the zone. Compared with Frank-Zadoff-Chu sequences, Golay-sequence-aided channel estimation requires much lower hardware and computational complexity. We also discuss the performance of Golay-sequence-aided channel estimation in terms of its error variance. Finally, simulations are conducted to show the performance of our proposed scheme against m-sequences and FZC sequences in terms of symbol error rate. The simulations also confirm with our theoretical results. ©1972-2012 IEEE.
语种：
英文
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Combination of interval set and soft set
WOS被引频次：10
SCI-E EI
作者：
Qin, Keyun* ;Meng, Dan;Pei, Zheng;Xu, Yang
期刊：
International Journal of Computational Intelligence Systems ,2013年6(2):370-380 ISSN：1875-6891
通讯作者：
Qin, Keyun
作者机构：
[Xu, Yang; Qin, Keyun] Southwest Jiaotong Univ, Coll Math, Chengdu 610031, Sichuan, Peoples R China.;[Meng, Dan] Southwestern Univ Finance & Econ, Sch Econ Informat Engn, Chengdu 611130, Sichuan, Peoples R China.;[Pei, Zheng] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Sichuan, Peoples R China.
通讯机构：
[Qin, Keyun] Southwest Jiaotong Univ, Coll Math, Chengdu 610031, Sichuan, Peoples R China.
关键词：
Soft set;Interval set;Soft interval set;Soft equality;Soft quotient algebra
摘要：
Soft set theory and interval set theory are all mathematical tools for dealing with uncertainties. This paper is devoted to the discussion of soft interval set and its application. The notion of soft interval sets is introduced by combining soft set and interval set. Several operations on soft interval sets are presented in a manner parallel to that used in defining operations on soft sets and the lattice structures of soft interval sets are established. In addition, a soft interval set based decision making problem is analyzed.
语种：
英文
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Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation
WOS被引频次：7
SCI-E EI
作者：
Zhu, Shihui* ;Yang, Han;Zhang, Jian
期刊：
Nonlinear Analysis, Theory, Methods and Applications ,2011年74(17):6186-6201 ISSN：0362-546X
通讯作者：
Zhu, Shihui
作者机构：
[Zhang, Jian; Zhu, Shihui] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China.;[Yang, Han] SW Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China.;[Zhu, Shihui] Sichuan Normal Univ, Coll Math & Software Sci, 5 Jingan Rd, Chengdu 610066, Peoples R China.
通讯机构：
[Zhu, Shihui] Sichuan Normal Univ, Coll Math & Software Sci, 5 Jingan Rd, Chengdu 610066, Peoples R China.
关键词：
35Q55;35B44;Nonlinear Schrödinger equation;I -method;I;Rough blow-up solution;Limiting profile;L 2 -concentration;L 2
摘要：
This paper deals with the formation of singularities of rough blow-up solutions to the fourth-order nonlinear Schro¨dinger equation. The limiting profile and <sup>L2</sup>-concentration of the rough blow-up solutions are obtained in <sup>Hs</sup>(<sup>R4</sup>) with s><sup>s0</sup>, where <sup>s0</sup>≤9+72120≈1.793. The new ingredient relies on the refined compactness result developed by Zhu et al. [S.H. Zhu, J. Zhang, H. Yang, Limiting profile of the blow-up solutions for the fourth-order nonlinear Schro¨dinger equation, Dyn. Partial Differ. Equ. 7 (2010) 187205]. ©2011 Elsevier Ltd. All rights reserved.
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英文
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On the associative property of fuzzy Xor connectives
WOS被引频次：6
SCI-E EI
作者：
He, Xingxing* ;Li, Yingfang;Qin, Keyun
期刊：
Journal of Intelligent and Fuzzy Systems ,2013年25(1):1-7 ISSN：1064-1246
通讯作者：
He, Xingxing
作者机构：
[He, Xingxing] Southwest Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 61003, Sichuan, Peoples R China.;[Li, Yingfang; Qin, Keyun; He, Xingxing] Southwest Jiaotong Univ, Dept Math, Chengdu 61003, Sichuan, Peoples R China.
通讯机构：
[He, Xingxing] Southwest Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 61003, Sichuan, Peoples R China.
关键词：
Fuzzy Xor connective, t-norm, t-conorm, fuzzy negation
摘要：
The connective fuzzy Xor has been studied by Bedregal et al. [B.C. Bedregal, R.H.S. Reiser and G.P. Dimuro, Xor-Implications and E-Implications: Classes of fuzzy implications based on fuzzy Xor, Electronic Notes in Theoretical Computer Science 247 (2009) 5-18] and two methods for constructing fuzzy Xor are given. As an important property of classical Xor connective, associativity is also defined in the definition of fuzzy Xor. However, we find that some of the fuzzy Xor connectives constructed with the given methods do not satisfy associative property. This paper studies the conditions under which the fuzzy Xor constructed with the methods given in [1] satisfy associative property. ©2013-IOS Press and the authors. All rights reserved.
语种：
英文
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Fuzzy XNOR connectives in fuzzy logic
WOS被引频次：5
SCI-E EI
作者：
Li, Yingfang;Qin, Keyun;He, Xingxing*
期刊：
Soft Computing ,2011年15(12):2457-2465 ISSN：1432-7643
通讯作者：
He, Xingxing
作者机构：
[Li, Yingfang; Qin, Keyun] SW Jiaotong Univ, Dept Math, Chengdu 610031, Sichuan, Peoples R China.;[He, Xingxing] SW Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Sichuan, Peoples R China.
通讯机构：
[He, Xingxing] SW Jiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Sichuan, Peoples R China.
关键词：
t-Norm;t-Conorm;Fuzzy XNOR connective;Fuzzy Xor connective;Fuzzy implication
摘要：
In this paper, a generalized XNOR connective called fuzzy XNOR connective is introduced. First, the definition of fuzzy XNOR connective is proposed and its properties are analyzed. Then, two forms of fuzzy XNOR connectives are obtained by the composition of t-norms, t-conorms and fuzzy negations. Moreover, the relationships between fuzzy XNOR connectives and fuzzy Xor connectives introduced in Bedregal et al. (Electron Notes Theor Comput Sci 247:5-18, 2009) are discussed. At last, two new kinds of fuzzy implications are constructed by fuzzy XNOR connectives and other connectives, their main properties are also studied. ©2011 Springer-Verlag.
语种：
英文
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Detecting the optimal number of communities in complex networks
WOS被引频次：4
SCI-E EI
作者：
Zhifang Li;Yanqing Hu;Beishan Xu;Zengru Di;Ying Fan
期刊：
Physica A: Statistical Mechanics and its Applications ,2012年391(4):1770-1776 ISSN：0378-4371
通讯作者：
Hu, Yanqing
作者机构：
[Zhifang Li; Zengru Di; Ying Fan; Yanqing Hu; Beishan Xu] Beijing Normal Univ, Dept Syst Sci, Sch Management, Beijing 100875, Peoples R China.;[Yanqing Hu] SW Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Zhifang Li; Zengru Di; Ying Fan; Yanqing Hu; Beishan Xu] Beijing Normal Univ, Ctr Complex Res, Beijing 100875, Peoples R China.
通讯机构：
[Hu, Yanqing] SW Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.
关键词：
Complex network;Community structure;Optimal community number
摘要：
To obtain the optimal number of communities is an important problem in detecting community structures. In this paper, we use the extended measurement of community detecting algorithms to find the optimal community number. Based on the normalized mutual information index, which has been used as a measure for similarity of communities, a statistic Ω(c) is proposed to detect the optimal number of communities. In general, when Ω(c) reaches its local maximum, especially the first one, the corresponding number of communities c is likely to be optimal in community detection. Moreover, the statistic Ω(c) can also measure the significance of community structures in complex networks, which has been paid more attention recently. Numerical and empirical results show that the index Ω(c) is effective in both artificial and real world networks. ©2011 Elsevier B.V. All rights reserved.
语种：
英文
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A Construction of Codebooks Nearly Achieving the Levenstein Bound
WOS被引频次：4
SCI-E EI
作者：
Tan, Pan;Zhou, Zhengchun* ;Zhang, Dan
期刊：
IEEE Signal Processing Letters ,2016年23(10):1306-1309 ISSN：1070-9908
通讯作者：
Zhou, Zhengchun
作者机构：
[Tan, Pan; Zhou, Zhengchun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.;[Zhang, Dan] Southwest Jiaotong Univ, Informat Secur & Natl Comp Grid Lab, Chengdu 610031, Peoples R China.
通讯机构：
[Zhou, Zhengchun] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China.
关键词：
Codedivision multiple access (CDMA);codebook;compressed sensing;Levenstein bound;low correlation;signal set
摘要：
Codebooks with small inner-product correlation are preferred in many practical applications such as direct spread code division multiple access communications, coding theory, and compressed sensing. The well-known Welch bound and Levenstein bound are useful benchmarks for the correlation of codebooks. In general, it is very hard to obtain codebooks achieving the Welch bound or the Levenstein bound. The objective of this letter is to present a construction of codebooks based on additive and multiplicative characters of finite fields. It generates codebooks nearly achieving the Levenstein bound. ©1994-2012 IEEE.
语种：
英文
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A Razumikhin approach to exponential admissibility of switched descriptor delayed systems
WOS被引频次：4
SCI-E EI
作者：
Liu, Xiu* ;Zhong, Shouming;Ding, Xiuyong
期刊：
Applied Mathematical Modelling ,2014年38(5-6):1647-1659 ISSN：0307-904X
通讯作者：
Liu, Xiu
作者机构：
[Liu, Xiu; Ding, Xiuyong] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China.;[Zhong, Shouming] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610031, Sichuan, Peoples R China.
通讯机构：
[Liu, Xiu] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China.
关键词：
Switched descriptor systems;Exponential admissibility;Minimuin dwell time;Delay-independent;Razumikhin method
摘要：
This paper addresses on the robust exponential admissibility of uncertain switched descriptor systems with time-varying delays. Firstly, an easily verified condition is presented to check the switching-impulsive-free which ensures the consistent of algebraic equations. Moreover, a novel type of piecewise Lyapunov functions which are decreasing at switching times is introduced. This type of delicately constructed Lyapunov functions can efficiently eliminate the switching jump of adjacent Lyapunov functions at switching instants. By this type of Lyapunov functions and Razumikhin-type technique, the delay-independent minimum dwell time criteria of robust exponential admissibility are established under switching-impulsive-free. Two illustrative numerical examples are presented to show the effectiveness of the obtained theoretical results. (C) 2013 Elsevier Inc. All rights reserved.
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英文
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