Edit Profile (opens in new tab) Fang, Shu-Cherng Compute Distance To: Compute Author ID: fang.shu-cherng Published as: Fang, Shu-Cherng; Fang, S. C.; Fang, S.-C.; Fang, Shucherng more...less Homepage: https://www.ise.ncsu.edu/people/fang/ External Links: MGP · dblp Documents Indexed: 199 Publications since 1980, including 2 Books 6 Contributions as Editor Biographic References: 1 Publication Co-Authors: 123 Co-Authors with 190 Joint Publications 3,462 Co-Co-Authors all top 5 Co-Authors 13 single-authored 24 Xing, Wenxun 21 Wu, Soon-Yi 19 Nuttle, Henry L. W. 16 Lavery, John E. 14 Deng, Zhibin 14 Tsao, H.-S. Jacob 13 Jin, Qingwei 12 Sheu, Ruey-Lin 11 Rajasekera, J. R. 9 Lin, Chih-Jen 8 Wang, Zhenbo 7 Gao, David Yang 7 Hu, Cheng-Feng 7 Lu, Cheng 6 Li, Pingke 6 Peterson, Elmor L. 5 Chao, Xiuli 5 Cheng, Hao 5 İlker Birbil, Ş. 5 Nie, Tiantian 4 Dai, Yue 4 Guo, Xiaoling 4 Han, Jiye 4 Huang, Yao-Huei 4 Luo, Jian 4 Tian, Ye 4 Wang, Ziteng 4 Xu, Yifan 3 An, Qi 3 Bai, Yanqin 3 Jiang, Shan 3 Joines, Jeffrey A. 3 Lertworasirikul, Saowanee 3 Li, Han-Lin 3 Ling, Xiaoli 3 Medaglia, Andrés L. 3 Wang, Dingwei 3 Wang, Shunmin 3 Wu, Peitsang 3 Zhang, Jiahua 3 Zhang, Liping 3 Zhao, Yunbin 2 Adivar, Murat 2 Guan, Sichong 2 Huang, Min 2 Huang, Zheng-Hai 2 Li, Guangzhi 2 Li, Xingmei 2 Liao, Yi 2 Loetamonphong, Jiranut 2 Natu, Madan 2 Puthenpura, Sarat 2 Qian, Xiaohu 2 Wilson, James R. 2 Yu, Lu 2 Zhou, Jing 1 Averbakh, Igor 1 Birge, John R. 1 Brinkley, Paul 1 Cao, Bingyuan 1 Chao, Chien-Wen 1 Chen, Huayou 1 Chen, Shyh-Huei 1 Chen, Tzu-Li 1 Chen, Yun Chu 1 Chiu, Nan-Chieh 1 Cho, Hsunjung 1 Dai, Jinyu 1 Fan, Zhiping 1 Fang, Weiwu 1 Feng, Youyi 1 Floudas, Christodoulos Achilleus 1 Frenk, Johannes B. G. 1 Gajny, Laurent 1 Gao, Zheming 1 Gibaru, Olivier 1 Hsu, Chia-Chun 1 Hsu, Leetsch Charles 1 Jan, Gwo-Ming 1 Jiang, Zhongzhong 1 King, Russell E. 1 Li, Duan 1 Li, Xingsi 1 Liao, Ching-Jong 1 Lin, Gang-Xuan 1 Lin, James T. 1 Lin, Jen-Yen 1 Lin, Yumin 1 Liu, Jinpei 1 Lu, Jianjun 1 Medhin, Negash G. 1 Nuttle, Henny W. L. 1 Nyiri, Eric 1 Olson, David L. 1 Peker, A. S. 1 Qi, Liqun 1 Qin, Zejian 1 Saigal, Romesh 1 Scott, Carlton H. 1 Sinha, Lakshman ...and 23 more Co-Authors all top 5 Serials 20 Journal of Industrial and Management Optimization 16 European Journal of Operational Research 13 Journal of Global Optimization 12 Optimization 11 Fuzzy Optimization and Decision Making 9 Computers & Mathematics with Applications 8 Journal of Optimization Theory and Applications 7 Fuzzy Sets and Systems 7 Journal of Computational and Applied Mathematics 6 International Journal of Systems Science 6 Annals of Operations Research 5 Pacific Journal of Optimization 4 Computational Optimization and Applications 4 Mathematical Methods of Operations Research 4 Journal of the Operations Research Society of China 3 IEEE Transactions on Automatic Control 3 Asia-Pacific Journal of Operational Research 3 ZOR. Zeitschrift für Operations Research 3 SIAM Journal on Optimization 3 Journal of Systems Science and Complexity 3 Algorithms 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Tamkang Journal of Mathematics 2 Operations Research Letters 2 Computers & Operations Research 2 Applied Mathematical Modelling 2 Zeitschrift für Operations Research. Serie A: Theorie 2 ZOR. Mathematical Methods of Operations Research 2 INFORMS Journal on Computing 2 Optimization Methods & Software 2 International Journal of Operations Research (Taichung) 1 Discrete Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Chinese Journal of Mathematics 1 Journal of the Operational Research Society 1 Mathematical Programming 1 Naval Research Logistics 1 Theoretical Computer Science 1 Computer Aided Geometric Design 1 Information and Computation 1 Transportation Science 1 Applied Mathematics Letters 1 Neural Networks 1 Numerical Algorithms 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Mathematical Programming. Series A. Series B 1 Neurocomputing 1 International Transactions in Operational Research 1 Soft Computing 1 Discrete Dynamics in Nature and Society 1 International Mathematical Journal 1 Nonlinear Dynamics and Systems Theory 1 Journal of Intelligent and Fuzzy Systems 1 International Series in Operations Research & Management Science 1 Optimization Letters 1 Science China. Mathematics 1 Numerical Algebra, Control and Optimization all top 5 Fields 172 Operations research, mathematical programming (90-XX) 34 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Computer science (68-XX) 14 Approximations and expansions (41-XX) 10 Mathematical logic and foundations (03-XX) 9 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 155 Publications have been cited 1,358 times in 878 Documents Cited by ▼ Year ▼ Generalized variational inequalities. Zbl 0471.49007Fang, S. C.; Peterson, E. L. 90 1982 Solving fuzzy relation equations with a linear objective function. Zbl 0933.90069Fang, Shu-Cherng; Li, Guangzhi 67 1999 Fuzzy data envelopment analysis (DEA): A possibility approach. Zbl 1047.90080Lertworasirikul, Saowanee; Fang, Shu-Cherng; Joines, Jeffrey A.; Nuttle, Henry L. W. 63 2003 An electromagnetism-like mechanism for global optimization. Zbl 1047.90045Birbil, Ş. İlker; Fang, Shu-Cherng 56 2003 Optimization of fuzzy relation equations with max-product composition. Zbl 1044.90533Loetamonphong, Jiranut; Fang, Shu-Cherng 54 2001 A survey on fuzzy relational equations. I: Classification and solvability. Zbl 1180.03051Li, Pingke; Fang, Shu-Cherng 41 2009 On the resolution and optimization of a system of fuzzy relational equations with sup-\(T\) composition. Zbl 1169.90493Li, Pingke; Fang, Shu-Cherng 40 2008 Multi-objective optimization problems with fuzzy relation equation constraints. Zbl 0994.90130Loetamonphong, Jiranut; Fang, Shu-Cherng; Young, Robert E. 38 2002 Entropy optimization and mathematical programming. Zbl 0933.90051Fang, Shu-Cherng; Rajasekera, J. R.; Tsao, H.-S. J. 38 1997 On the entropic regularization method for solving min-max problems with applications. Zbl 0886.90133Li, Xing-Si; Fang, Shu-Cherng 33 1997 Pricing policies for substitutable products in a supply chain with Internet and traditional channels. Zbl 1292.90042Chen, Yun Chu; Fang, Shu-Cherng; Wen, Ue-Pyng 27 2013 Linear programming with fuzzy coefficients in constraints. Zbl 0931.90069Fang, S.-C.; Hu, C.-F.; Wang, H.-F.; Wu, S.-Y. 25 1999 An iterative method for generalized complementarity problems. Zbl 0483.49027Fang, Shu-Cherng 23 1980 Solvability of variational inequality problems. Zbl 1082.49009Han, J.; Huang, Zheng-Hai; Fang, Shu-Cherng 21 2004 Global optimization for a class of fractional programming problems. Zbl 1206.90189Fang, Shu-Cherng; Gao, David Y.; Sheu, Ruey-Lin; Xing, Wenxun 20 2009 Linear optimization and extentions: theory and algorithms. Zbl 0799.90080Fang, Shu-Cherng; Puthenpura, Sarat 19 1993 On the convergence of a population-based global optimization algorithm. Zbl 1066.90086Birbil, Ş. İlker; Fang, Shu-Cherng; Sheu, Ruey-Lin 17 2004 Global extremal conditions for multi-integer quadratic programming. Zbl 1161.90457Wang, Zhenbo; Fang, Shu-Cherng; Gao, David Y.; Xing, Wenxun 17 2008 KKT solution and conic relaxation for solving quadratically constrained quadratic programming problems. Zbl 1242.49044Lu, Cheng; Fang, Shu-Cherng; Jin, Qingwei; Wang, Zhenbo; Xing, Wenxun 17 2011 Solving min-max problems and linear semi-infinite programs. Zbl 0860.90110Fang, S.-C.; Wu, Soon-Yi 16 1996 Fuzzy BCC model for data envelopment analysis. Zbl 1178.90184Lertworasirikul, Saowanee; Fang, Shu-Cherng; Nuttle, Henry L. W.; Joines, Jeffrey A. 16 2003 Univariate cubic \(L_1\) splines – a geometric programming approach. Zbl 1029.41003Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 16 2002 Shape-preserving properties of univariate cubic \(L_{1}\) splines. Zbl 1068.41014Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 15 2005 Canonical dual approach to solving 0-1 quadratic programming problems. Zbl 1180.90195Fang, Shu-Cherng; Gao, David Yang; Sheu, Ruey-Lin; Wu, Soon-Yi 15 2008 Solution sets of interval-valued fuzzy relational equations. Zbl 1178.03071Wang, Shunmin; Fang, Shu-Cherng; Nuttle, Henry L. W. 14 2003 An inexact approach to solving linear semi-infinite programming problems. Zbl 0819.90113Fang, Shu-Cherng; Wu, Soon-Yi 14 1994 Relaxed cutting plane method for solving linear semi-infinite programming problems. Zbl 0956.90056Wu, S. Y.; Fang, S. C.; Lin, C. J. 13 1998 Solving convex programs with infinitely many linear constraints by a relaxed cutting plane method. Zbl 0931.90035Wu, Soon-Yi; Fang, S.-C. 12 1999 Quadratically constrained minimum cross-entropy analysis. Zbl 0671.90071Fang, S. C.; Rajasekera, J. R. 11 1989 An unconstrained convex programming view of linear programming. Zbl 0759.90064Fang, S.-C. 11 1992 Relaxed conditions for radial-basis function networks to be universal approximators. Zbl 1255.65044Liao, Yi; Fang, Shu-Cherng; Nuttle, Henry L. W. 11 2003 Controlled dual perturbations for posynomial programs. Zbl 0659.90071Fang, S. C.; Peterson, E. L.; Rajasekera, J. R. 10 1988 On the unique solvability of fuzzy relational equations. Zbl 1213.03065Li, Pingke; Fang, Shu-Cherng 10 2011 An efficient and flexible mechanism for constructing membership functions. Zbl 1010.03525Medaglia, Andrés L.; Fang, Shu-Cherng; Nuttle, Henry L. W.; Wilson, James R. 10 2002 Solving convex programming problems with equality constaints by neural networks. Zbl 0941.90060Chen, Y.-H.; Fang, S.-C. 10 1998 Solving quadratic semi-infinite programming problems by using relaxed cutting-plane scheme. Zbl 0984.65062Fang, Shu-Cherng; Lin, Chih-Jen; Wu, Soon-Yi 10 2001 Linear programming with entropic perturbation. Zbl 0777.90026Fang, S. C.; Tsao, H. S. J. 9 1993 Minimizing a linear fractional function subject to a system of sup-\(T\) equations with a continuous Archimedean triangular norm. Zbl 1178.93084Li, Pingke; Fang, Shu-Cherng 9 2009 An efficient algorithm for generating univariate cubic \(L_1\) splines. Zbl 1069.65010Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 9 2004 A geometric programming framework for univariate cubic \(L_1\) smoothing splines. Zbl 1119.65012Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 9 2005 Selecting optimal selling format of a product in B2C online auctions with boundedly rational customers. Zbl 1292.91083Jiang, Zhong-Zhong; Fang, Shu-Cherng; Fan, Zhi-Ping; Wang, Dingwei 8 2013 Manufacturing network flows: a generalized network flow model for manufacturing process modelling. Zbl 1070.90503Fang, Shu-Cherng; Qi, Liqun 8 2003 A compressed primal-dual method for generating bivariate cubic \(L_{1}\) splines. Zbl 1110.65015Wang, Yong; Fang, Shu-Cherng; Lavery, John E. 8 2007 An entropic regularization approach for mathematical programs with equilibrium constraints. Zbl 1074.90048Bírbíl, Ş. İlker; Fang, Shu-Cherng; Han, Jiye 8 2004 Solving fuzzy variational inequalities. Zbl 1071.49005Fang, Shu-Cherng; Hu, Cheng-Feng 8 2002 Detecting copositivity of a symmetric matrix by an adaptive ellipsoid-based approximation scheme. Zbl 1317.90229Deng, Zhibin; Fang, Shu-Cherng; Jin, Qingwei; Xing, Wenxun 8 2013 Canonical dual approach to solving the maximum cut problem. Zbl 1259.90154Wang, Zhenbo; Fang, Shu-Cherng; Gao, David Y.; Xing, Wenxun 8 2012 On the finite termination of an entropy function based non-interior continuation method for vertical linear complementarity problems. Zbl 1093.90064Fang, Shu-Cherng; Han, Jiye; Huang, Zheng-Hai; İlker Birbil, Ş. 7 2005 Game theoretic analysis of a distribution system with customer market search. Zbl 1112.90002Dai, Yue; Chao, Xiuli; Fang, Shu-Cherng; Nuttle, Henry L. W. 7 2005 Conic approximation to nonconvex quadratic programming with convex quadratic constraints. Zbl 1339.90259Deng, Zhibin; Fang, Shu-Cherng; Jin, Qingwei; Lu, Cheng 7 2015 Controlled perturbations for quadratically constrained quadratic programs. Zbl 0616.90050Fang, S. C.; Rajasekera, J. R. 7 1986 Approximating term structure of interest rates using cubic \(L_1\) splines. Zbl 1141.91016Chiu, Nan-Chieh; Fang, Shu-Cherng; Lavery, John E.; Lin, Jen-Yen; Wang, Yong 7 2008 Two-group knapsack game. Zbl 1225.91026Wang, Zhenbo; Xing, Wenxun; Fang, Shu-Cherng 7 2010 Soft quadratic surface support vector machine for binary classification. Zbl 1354.68225Luo, Jian; Fang, Shu-Cherng; Deng, Zhibin; Guo, Xiaoling 7 2016 Solving variational inequalities defined on a domain with infinitely many linear constraints. Zbl 1116.49005Fang, Shu-Cherng; Wu, Soonyi; Birbil, Ş. İlker 7 2007 A geometric programming approach for bivariate cubic \(L_{1}\) splines. Zbl 1083.41008Wang, Yong; Fang, Shu-Cherng; Lavery, J. E.; Cheng, Hao 7 2005 Computable representation of the cone of nonnegative quadratic forms over a general second-order cone and its application to completely positive programming. Zbl 1281.90036Tian, Ye; Fang, Shu-Cherng; Deng, Zhibin; Xing, Wenxun 7 2013 Exact computable representation of some second-order cone constrained quadratic programming problems. Zbl 1277.90091Jin, Qingwei; Tian, Ye; Deng, Zhibin; Fang, Shu-Cherng; Xing, Wenxun 7 2013 Linearly-constrained entropy maximization problem with quadratic cost and its applications to transportation planning problems. Zbl 0853.90090Fang, S. C.; Tsao, H.-S. J. 6 1995 Solving fuzzy inequalities with concave membership functions. Zbl 1083.90531Hu, Cheng-Feng; Fang, Shu-Cherng 6 1998 On the convex programming approach to linear programming. Zbl 0777.90028Rajasekera, J. R.; Fang, S. C. 6 1991 Geometric dual formulation for first-derivative-based univariate cubic \(L_{1}\) splines. Zbl 1138.65010Zhao, Y. B.; Fang, S.-C.; Lavery, J. E. 6 2008 On the global optimality of generalized trust region subproblems. Zbl 1203.90119Jin, Qingwei; Fang, Shu-Cherng; Xing, Wenxun 6 2010 Univariate cubic \(L_1\) interpolating splines: spline functional, window size and analysis-based algorithm. Zbl 1461.65016Yu, Lu; Jin, Qingwei; Lavery, John E.; Fang, Shu-Cherng 6 2010 A semi-infinite programming model for earliness/tardiness production planning with a genetic algorithm. Zbl 0853.90066Wang, Dingwei; Fang, S.-C. 5 1996 Adaptive computable approximation to cones of nonnegative quadratic functions. Zbl 1291.49022Lu, Cheng; Jin, Qingwei; Fang, Shu-Cherng; Wang, Zhenbo; Xing, Wenxun 5 2014 A new variant of the primal affine scaling algorithm for linear programming. Zbl 0742.90054Jan, Gwo-Ming; Fang, Shu-Cherng 5 1991 On solving convex quadratic semi-infinite programming problems. Zbl 0819.90112Fang, S.-C.; Lin, C.-J.; Wu, S.-Y. 5 1994 The point-to-point connection problem - analysis and algorithms. Zbl 0890.68104Natu, Madan; Fang, Shu-Cherng 5 1997 An analytic center cutting plane method for solving semi-infinite variational inequality problems. Zbl 1061.49008Fang, Shu-Cherng; Wu, Soon-Yi; Sun, Jie 5 2004 Fuzzy quadratic surface support vector machine based on Fisher discriminant analysis. Zbl 1317.62056Luo, Jian; Fang, Shu-Cherng; Bai, Yanqin; Deng, Zhibin 5 2016 Univariate cubic \(L_1\) interpolating splines: analytical results for linearity, convexity and oscillation on 5-pointwindows. Zbl 1461.65014Jin, Qingwei; Lavery, John E.; Fang, Shu-Cherng 5 2010 Linear reformulation of polynomial discrete programming for fast computation. Zbl 1364.90222Li, Han-Lin; Huang, Yao-Huei; Fang, Shu-Cherng 5 2017 Implementation of an inexact approach to solving linear semi-infinite programming problems. Zbl 0840.65057Lin, Chih-Jen; Yang, Eugene K.; Fang, Shu-Cherng; Wu, Soon-Yi 4 1995 Cubic \(L_1\) splines on triangulated irregular networks. Zbl 1099.65017Zhang, Wei; Wang, Yong; Fang, Shucherng; Lavery, John E. 4 2006 Set covering-based surrogate approach for solving sup-\({\mathcal{T}}\) equation constrained optimization problems. Zbl 1213.90156Hu, Cheng-Feng; Fang, Shu-Cherng 4 2011 An unconstrained convex programming approach to linear semi-infinite programming. Zbl 0912.90275Lin, Chih-Jen; Fang, Shu-Cherng; Wu, Soon-Yi 4 1998 Deriving an unconstrained convex program for linear programming. Zbl 0792.90046Rajasekera, J. R.; Fang, S. C. 4 1992 Insights into the interior-point methods. Zbl 0763.90065Sheu, R.-L.; Fang, S.-C. 4 1992 On the generalized path-following methods for linear programming. Zbl 0818.90075Sheu, R.-L.; Fang, S.-C. 4 1994 An unconstrained convex programming approach to solving convex quadratic programming problems. Zbl 0818.90087Fang, S. C.; Tsao, H.-S. J. 4 1993 On the point-to-point connection problem. Zbl 0875.68444Natu, Madan; Fang, Shu-Cherng 4 1995 A shadow-price based heuristic for capacity planning of TFT-LCD manufacturing. Zbl 1189.90101Chen, Tzu-Li; Lin, James T.; Fang, Shu-Cherng 4 2010 A neural network model with bounded-weights for pattern classification. Zbl 1076.68061Liao, Yi; Fang, Shu-Cherng; Nuttle, Henry L. W. 4 2004 On constraint qualifications: motivation, design and inter-relations. Zbl 1281.90059Wang, Ziteng; Fang, Shu-Cherng; Xing, Wenxun 4 2013 Two-person knapsack game. Zbl 1282.91021Wang, Zhenbo; Xing, Wenxun; Fang, Shu-Cherng 4 2010 Solution sets of interval-valued min-\(s\)-norm fuzzy relational equations. Zbl 1139.93020Wang, Shunmin; Fang, Shu-Cherng; Nuttle, Henry L. W. 4 2005 Conic approximation to quadratic optimization with linear complementarity constraints. Zbl 1396.90058Zhou, Jing; Fang, Shu-Cherng; Xing, Wenxun 4 2017 Double well potential function and its optimization in the \(N\)-dimensional real space. I. Zbl 1362.49015Fang, Shu-Cherng; Gao, David Y.; Lin, Gang-Xuan; Sheu, Ruey-Lin; Xing, Wenxun 4 2017 Convex optimization on mixed domains. Zbl 1364.90250Adivar, Murat; Fang, Shu-Cherng 4 2012 Fuzzy data envelopment analysis: A credibility approach. Zbl 1051.90040Lertworasirikul, Saowanee; Fang, Shu-Cherng; Joines, Jeffrey A.; Nuttle, Henry L. W. 4 2003 Controlled dual perturbations for \(\ell _ p\)-programming. Zbl 0598.90078Fang, S. C.; Rajasekera, J. R. 3 1986 A dual affine scaling based algorithm for solving linear semi-infinite programming problems. Zbl 0829.90128Lin, Chih-Jen; Fang, Shu-Cherng; Wu, Soon-Yi 3 1994 A primal-dual infeasible-interior-point algorithm for linear semi- infinite programming. Zbl 0831.90113Sheu, R.-L.; Wu, S.-Y.; Fang, S.-C. 3 1995 On the entropic perturbation and exponential penalty methods for linear programming. Zbl 0851.90082Fang, S. C.; Tsao, H. S. J. 3 1996 General network equilibrium analysis. Zbl 0523.90040Fang, S. C.; Peterson, E. L. 3 1983 Fuzzy controlled simulation optimization. Zbl 1005.68173Medaglia, Andrés L.; Fang, Shu-Cherng; Nuttle, Henry L. W. 3 2002 Minimum cross-entropy analysis with entropy-type constraints. Zbl 0764.90072Fang, S. C.; Peterson, E. L.; Rajasekera, J. R. 3 1992 On the optimal entropy analysis. Zbl 0767.90058Tsao, H. S. J.; Fang, S. C.; Lee, D. N. 3 1992 Solving general capacity problem by relaxed cutting plane approach. Zbl 1007.90078Wu, Soon-Yi; Fang, Shu-Cherng; Lin, Chih-Jen 3 2001 A kernel-free double well potential support vector machine with applications. Zbl 07354591Gao, Zheming; Fang, Shu-Cherng; Luo, Jian; Medhin, Negash 2 2021 Multiplicative data envelopment analysis cross-efficiency and stochastic weight space acceptability analysis for group decision making with interval multiplicative preference relations. Zbl 1460.90095Liu, Jinpei; Fang, Shu-Cherng; Chen, Huayou 1 2020 A gradient descent based algorithm for \(\ell_p\) minimization. Zbl 1431.90118Jiang, Shan; Fang, Shu-Cherng; Nie, Tiantian; Xing, Wenxun 1 2020 An alternative efficient representation for the project portfolio selection problem. Zbl 1430.90336Li, Xingmei; Huang, Yao-Huei; Fang, Shu-Cherng; Zhang, Youzhong 1 2020 Recovering optimal solutions via SOC-SDP relaxation of trust region subproblem with nonintersecting linear constraints. Zbl 1438.90379Dai, Jinyu; Fang, Shu-Cherng; Xing, Wenxun 2 2019 Reverse auctions with regret-anticipated bidders. Zbl 1417.91249Qian, Xiaohu; Fang, Shu-Cherng; Huang, Min; An, Qi; Wang, Xingwei 3 2018 A proximal quadratic surface support vector machine for semi-supervised binary classification. Zbl 1402.68158Yan, Xin; Bai, Yanqin; Fang, Shu-Cherng; Luo, Jian 2 2018 Convex analysis and duality over discrete domains. Zbl 1413.90184Adıvar, Murat; Fang, Shu-Cherng 1 2018 Linear reformulation of polynomial discrete programming for fast computation. Zbl 1364.90222Li, Han-Lin; Huang, Yao-Huei; Fang, Shu-Cherng 5 2017 Conic approximation to quadratic optimization with linear complementarity constraints. Zbl 1396.90058Zhou, Jing; Fang, Shu-Cherng; Xing, Wenxun 4 2017 Double well potential function and its optimization in the \(N\)-dimensional real space. I. Zbl 1362.49015Fang, Shu-Cherng; Gao, David Y.; Lin, Gang-Xuan; Sheu, Ruey-Lin; Xing, Wenxun 4 2017 Double well potential function and its optimization in the \(N\)-dimensional real space. II. Zbl 1362.49016Xia, Yong; Sheu, Ruey-Lin; Fang, Shu-Cherng; Xing, Wenxun 2 2017 Best \(L_{1}\) approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces. Zbl 1379.41025Gajny, Laurent; Gibaru, Olivier; Nyiri, Eric; Fang, Shu-Cherng 1 2017 Soft quadratic surface support vector machine for binary classification. Zbl 1354.68225Luo, Jian; Fang, Shu-Cherng; Deng, Zhibin; Guo, Xiaoling 7 2016 Fuzzy quadratic surface support vector machine based on Fisher discriminant analysis. Zbl 1317.62056Luo, Jian; Fang, Shu-Cherng; Bai, Yanqin; Deng, Zhibin 5 2016 Cardinality constrained portfolio selection problem: a completely positive programming approach. Zbl 1328.90116Tian, Ye; Fang, Shucherng; Deng, Zhibin; Jin, Qingwei 2 2016 An enhanced logarithmic method for signomial programming with discrete variables. Zbl 1394.90439Li, Han-Lin; Fang, Shu-Cherng; Huang, Yao-Huei; Nie, Tiantian 2 2016 Reformulations for project portfolio selection problem considering interdependence and cardinality. Zbl 1343.90044Li, Xingmei; Huang, Yao-Huei; Fang, Shu-Cherng; Deng, Zhibin 1 2016 On linear conic relaxation of discrete quadratic programs. Zbl 1355.90050Nie, Tiantian; Fang, Shu-Cherng; Deng, Zhibin; Lavery, John E. 1 2016 Conic approximation to nonconvex quadratic programming with convex quadratic constraints. Zbl 1339.90259Deng, Zhibin; Fang, Shu-Cherng; Jin, Qingwei; Lu, Cheng 7 2015 On shape-preserving capability of cubic \(L^1\) spline fits. Zbl 1417.65072Wang, Ziteng; Fang, Shu-Cherng; Lavery, John E. 3 2015 Adaptive computable approximation to cones of nonnegative quadratic functions. Zbl 1291.49022Lu, Cheng; Jin, Qingwei; Fang, Shu-Cherng; Wang, Zhenbo; Xing, Wenxun 5 2014 Quadratic optimization over a second-order cone with linear equality constraints. Zbl 1308.90122Guo, Xiao-ling; Deng, Zhi-bin; Fang, Shu-Cherng; Wang, Zhen-bo; Xing, Wen-xun 3 2014 Detection of a copositive matrix over a \(p\)-th order cone. Zbl 1332.90218Zhou, Jing; Deng, Zhibin; Fang, Shu-Cherng; Xing, Wenxun 2 2014 Quadratic optimization over one first-order cone. Zbl 1292.90221Guo, Xiaoling; Deng, Zhibin; Fang, Shu-Cherng; Xing, Wenxun 2 2014 Pricing policies for substitutable products in a supply chain with Internet and traditional channels. Zbl 1292.90042Chen, Yun Chu; Fang, Shu-Cherng; Wen, Ue-Pyng 27 2013 Selecting optimal selling format of a product in B2C online auctions with boundedly rational customers. Zbl 1292.91083Jiang, Zhong-Zhong; Fang, Shu-Cherng; Fan, Zhi-Ping; Wang, Dingwei 8 2013 Detecting copositivity of a symmetric matrix by an adaptive ellipsoid-based approximation scheme. Zbl 1317.90229Deng, Zhibin; Fang, Shu-Cherng; Jin, Qingwei; Xing, Wenxun 8 2013 Computable representation of the cone of nonnegative quadratic forms over a general second-order cone and its application to completely positive programming. Zbl 1281.90036Tian, Ye; Fang, Shu-Cherng; Deng, Zhibin; Xing, Wenxun 7 2013 Exact computable representation of some second-order cone constrained quadratic programming problems. Zbl 1277.90091Jin, Qingwei; Tian, Ye; Deng, Zhibin; Fang, Shu-Cherng; Xing, Wenxun 7 2013 On constraint qualifications: motivation, design and inter-relations. Zbl 1281.90059Wang, Ziteng; Fang, Shu-Cherng; Xing, Wenxun 4 2013 An entropy based central cutting plane algorithm for convex min-Max semi-infinite programming problems. Zbl 1267.90160Zhang, LiPing; Fang, Shu-Cherng; Wu, Soon-Yi 2 2013 Transport costs and China’s exports: some empirical evidences. Zbl 1282.90045Xu, Lizhi; Fang, Shu-Cherng; Zhang, Xun 1 2013 \(\ell\) major component detection and analysis (\(\ell^1\) MCDA): foundations in two dimensions. Zbl 1461.62091Tian, Ye; Jin, Qingwei; Lavery, John E.; Fang, Shu-Cherng 1 2013 Canonical dual approach to solving the maximum cut problem. Zbl 1259.90154Wang, Zhenbo; Fang, Shu-Cherng; Gao, David Y.; Xing, Wenxun 8 2012 Convex optimization on mixed domains. Zbl 1364.90250Adivar, Murat; Fang, Shu-Cherng 4 2012 Randomly generating test problems for fuzzy relational equations. Zbl 1254.03099Hu, Cheng-Feng; Fang, Shu-Cherng 1 2012 Univariate cubic \(L _{1}\) interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties. Zbl 1268.90089Jin, Qingwei; Yu, Lu; Lavery, John E.; Fang, Shu-Cherng 1 2012 A tropical cyclone-based method for global optimization. Zbl 1364.90368Chao, Chien-Wen; Fang, Shu-Cherng; Liao, Ching-Jong 1 2012 KKT solution and conic relaxation for solving quadratically constrained quadratic programming problems. Zbl 1242.49044Lu, Cheng; Fang, Shu-Cherng; Jin, Qingwei; Wang, Zhenbo; Xing, Wenxun 17 2011 On the unique solvability of fuzzy relational equations. Zbl 1213.03065Li, Pingke; Fang, Shu-Cherng 10 2011 Set covering-based surrogate approach for solving sup-\({\mathcal{T}}\) equation constrained optimization problems. Zbl 1213.90156Hu, Cheng-Feng; Fang, Shu-Cherng 4 2011 Two-group knapsack game. Zbl 1225.91026Wang, Zhenbo; Xing, Wenxun; Fang, Shu-Cherng 7 2010 On the global optimality of generalized trust region subproblems. Zbl 1203.90119Jin, Qingwei; Fang, Shu-Cherng; Xing, Wenxun 6 2010 Univariate cubic \(L_1\) interpolating splines: spline functional, window size and analysis-based algorithm. Zbl 1461.65016Yu, Lu; Jin, Qingwei; Lavery, John E.; Fang, Shu-Cherng 6 2010 Univariate cubic \(L_1\) interpolating splines: analytical results for linearity, convexity and oscillation on 5-pointwindows. Zbl 1461.65014Jin, Qingwei; Lavery, John E.; Fang, Shu-Cherng 5 2010 A shadow-price based heuristic for capacity planning of TFT-LCD manufacturing. Zbl 1189.90101Chen, Tzu-Li; Lin, James T.; Fang, Shu-Cherng 4 2010 Two-person knapsack game. Zbl 1282.91021Wang, Zhenbo; Xing, Wenxun; Fang, Shu-Cherng 4 2010 Convergence and error bound of a D-gap function based Newton-type algorithm for equilibrium problems. Zbl 1220.90141Zhang, Liping; Wu, Soon-Yi; Fang, Shu-Cherng 3 2010 Extended canonical duality and conic programming for solving 0-1 quadratic programming problems. Zbl 1218.49041Lu, Cheng; Wang, Zhenbo; Xing, Wenxun; Fang, Shu-Cherng 3 2010 A survey on fuzzy relational equations. I: Classification and solvability. Zbl 1180.03051Li, Pingke; Fang, Shu-Cherng 41 2009 Global optimization for a class of fractional programming problems. Zbl 1206.90189Fang, Shu-Cherng; Gao, David Y.; Sheu, Ruey-Lin; Xing, Wenxun 20 2009 Minimizing a linear fractional function subject to a system of sup-\(T\) equations with a continuous Archimedean triangular norm. Zbl 1178.93084Li, Pingke; Fang, Shu-Cherng 9 2009 A note on solution sets of interval-valued fuzzy relational equations. Zbl 1179.03052Li, Pingke; Fang, Shu-Cherng 2 2009 Robust univariate cubic \(L_2\) splines: Interpolating data with uncertain positions of measurements. Zbl 1186.65016Averbakh, Igor; Fang, Shu-Cherng; Zhao, Yun-Bin 2 2009 On the resolution and optimization of a system of fuzzy relational equations with sup-\(T\) composition. Zbl 1169.90493Li, Pingke; Fang, Shu-Cherng 40 2008 Global extremal conditions for multi-integer quadratic programming. Zbl 1161.90457Wang, Zhenbo; Fang, Shu-Cherng; Gao, David Y.; Xing, Wenxun 17 2008 Canonical dual approach to solving 0-1 quadratic programming problems. Zbl 1180.90195Fang, Shu-Cherng; Gao, David Yang; Sheu, Ruey-Lin; Wu, Soon-Yi 15 2008 Approximating term structure of interest rates using cubic \(L_1\) splines. Zbl 1141.91016Chiu, Nan-Chieh; Fang, Shu-Cherng; Lavery, John E.; Lin, Jen-Yen; Wang, Yong 7 2008 Geometric dual formulation for first-derivative-based univariate cubic \(L_{1}\) splines. Zbl 1138.65010Zhao, Y. B.; Fang, S.-C.; Lavery, J. E. 6 2008 Risk pooling strategy in a multi-echelon supply chain with price-sensitive demand. Zbl 1222.90005Dai, Yue; Fang, Shu-Cherng; Ling, Xiaoli; Nuttle, Henry L. W. 1 2008 A compressed primal-dual method for generating bivariate cubic \(L_{1}\) splines. Zbl 1110.65015Wang, Yong; Fang, Shu-Cherng; Lavery, John E. 8 2007 Solving variational inequalities defined on a domain with infinitely many linear constraints. Zbl 1116.49005Fang, Shu-Cherng; Wu, Soonyi; Birbil, Ş. İlker 7 2007 A tabu search algorithm for maximum parsimony phylogeny inference. Zbl 1109.90342Lin, Yu-Min; Fang, Shu-Cherng; Thorne, Jeffrey L. 2 2007 Errata to: “Solution sets of interval-valued fuzzy relational equations” and “Solution sets of interval-valued min-s-norm fuzzy relational equations”. Zbl 1178.03072Wang, Shunmin; Fang, Shu-Cherng; Nuttle, Henry L. W. 1 2007 A reduced Hsieh-Clough-Tocher element with splitting based on an arbitrary interior point. Zbl 1117.65031Peker, A. S.; Lavery, J. E.; Fang, S.-C. 1 2007 Cubic \(L_1\) splines on triangulated irregular networks. Zbl 1099.65017Zhang, Wei; Wang, Yong; Fang, Shucherng; Lavery, John E. 4 2006 Capacity allocation and inventory policy in a distribution system. Zbl 1202.90008Dai, Yue; Chao, Xiuli; Fang, Shu-Cherng; Nuttle, Henry L. W. 1 2006 Capacity allocation with traditional and internet channels. Zbl 1141.91561Dai, Yue; Chao, Xiuli; Fang, Shu-Cherng; Nuttle, Henry L. W. 1 2006 Shape-preserving properties of univariate cubic \(L_{1}\) splines. Zbl 1068.41014Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 15 2005 A geometric programming framework for univariate cubic \(L_1\) smoothing splines. Zbl 1119.65012Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 9 2005 On the finite termination of an entropy function based non-interior continuation method for vertical linear complementarity problems. Zbl 1093.90064Fang, Shu-Cherng; Han, Jiye; Huang, Zheng-Hai; İlker Birbil, Ş. 7 2005 Game theoretic analysis of a distribution system with customer market search. Zbl 1112.90002Dai, Yue; Chao, Xiuli; Fang, Shu-Cherng; Nuttle, Henry L. W. 7 2005 A geometric programming approach for bivariate cubic \(L_{1}\) splines. Zbl 1083.41008Wang, Yong; Fang, Shu-Cherng; Lavery, J. E.; Cheng, Hao 7 2005 Solution sets of interval-valued min-\(s\)-norm fuzzy relational equations. Zbl 1139.93020Wang, Shunmin; Fang, Shu-Cherng; Nuttle, Henry L. W. 4 2005 Recursive approximation of the high dimensional max function. Zbl 1195.90079Birbil, Ş. İ.; Fang, S.-C.; Frenk, J. B. G.; Zhang, S. 3 2005 Pooled versus reserved inventory in a two-echelon supply chain. Zbl 1113.90009Ling, Xiaoli; Fang, Shucherng; Nuttle, Herry L. W.; Chao, Xiuli 1 2005 Solvability of variational inequality problems. Zbl 1082.49009Han, J.; Huang, Zheng-Hai; Fang, Shu-Cherng 21 2004 On the convergence of a population-based global optimization algorithm. Zbl 1066.90086Birbil, Ş. İlker; Fang, Shu-Cherng; Sheu, Ruey-Lin 17 2004 An efficient algorithm for generating univariate cubic \(L_1\) splines. Zbl 1069.65010Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 9 2004 An entropic regularization approach for mathematical programs with equilibrium constraints. Zbl 1074.90048Bírbíl, Ş. İlker; Fang, Shu-Cherng; Han, Jiye 8 2004 An analytic center cutting plane method for solving semi-infinite variational inequality problems. Zbl 1061.49008Fang, Shu-Cherng; Wu, Soon-Yi; Sun, Jie 5 2004 A neural network model with bounded-weights for pattern classification. Zbl 1076.68061Liao, Yi; Fang, Shu-Cherng; Nuttle, Henry L. W. 4 2004 Fuzzy formulation of auctions and optimal sequencing for multiple auctions. Zbl 1060.91051Fang, Shu-Cherng; Nuttle, Henny W. L.; Wang, Dingwei 2 2004 Fuzzy data envelopment analysis (DEA): A possibility approach. Zbl 1047.90080Lertworasirikul, Saowanee; Fang, Shu-Cherng; Joines, Jeffrey A.; Nuttle, Henry L. W. 63 2003 An electromagnetism-like mechanism for global optimization. Zbl 1047.90045Birbil, Ş. İlker; Fang, Shu-Cherng 56 2003 Fuzzy BCC model for data envelopment analysis. Zbl 1178.90184Lertworasirikul, Saowanee; Fang, Shu-Cherng; Nuttle, Henry L. W.; Joines, Jeffrey A. 16 2003 Solution sets of interval-valued fuzzy relational equations. Zbl 1178.03071Wang, Shunmin; Fang, Shu-Cherng; Nuttle, Henry L. W. 14 2003 Relaxed conditions for radial-basis function networks to be universal approximators. Zbl 1255.65044Liao, Yi; Fang, Shu-Cherng; Nuttle, Henry L. W. 11 2003 Manufacturing network flows: a generalized network flow model for manufacturing process modelling. Zbl 1070.90503Fang, Shu-Cherng; Qi, Liqun 8 2003 Fuzzy data envelopment analysis: A credibility approach. Zbl 1051.90040Lertworasirikul, Saowanee; Fang, Shu-Cherng; Joines, Jeffrey A.; Nuttle, Henry L. W. 4 2003 A genetic-based framework for solving (multi-criteria) weighted matching problems. Zbl 1035.90073Medaglia, Andrés L.; Fang, Shu-Cherng 2 2003 Multi-objective optimization problems with fuzzy relation equation constraints. Zbl 0994.90130Loetamonphong, Jiranut; Fang, Shu-Cherng; Young, Robert E. 38 2002 Univariate cubic \(L_1\) splines – a geometric programming approach. Zbl 1029.41003Cheng, Hao; Fang, Shu-Cherng; Lavery, John E. 16 2002 An efficient and flexible mechanism for constructing membership functions. Zbl 1010.03525Medaglia, Andrés L.; Fang, Shu-Cherng; Nuttle, Henry L. W.; Wilson, James R. 10 2002 Solving fuzzy variational inequalities. Zbl 1071.49005Fang, Shu-Cherng; Hu, Cheng-Feng 8 2002 Fuzzy controlled simulation optimization. Zbl 1005.68173Medaglia, Andrés L.; Fang, Shu-Cherng; Nuttle, Henry L. W. 3 2002 Entropic perturbation method for solving a system of linear inequalities. Zbl 1006.65064Chen, Shyh-Huei; Fang, Shu-Cherng; Tsao, H.-S. Jacob 1 2002 Optimization of fuzzy relation equations with max-product composition. Zbl 1044.90533Loetamonphong, Jiranut; Fang, Shu-Cherng 54 2001 Solving quadratic semi-infinite programming problems by using relaxed cutting-plane scheme. Zbl 0984.65062Fang, Shu-Cherng; Lin, Chih-Jen; Wu, Soon-Yi 10 2001 ...and 55 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,299 Authors 94 Fang, Shu-Cherng 20 Wu, Soon-Yi 16 Lavery, John E. 16 Yang, Xiaopeng 15 Gao, David Yang 15 Noor, Muhammad Aslam 13 Deng, Zhibin 13 Jin, Qingwei 13 Tian, Ye 13 Yao, Jen-Chih 12 Abbasi Molai, Ali 12 Hu, Cheng-Feng 12 Xing, Wenxun 11 Hatami-Marbini, Adel 11 Khorram, Esmaile 10 Sheu, Ruey-Lin 10 Tavana, Madjid 10 Tsao, H.-S. Jacob 9 Cao, Bingyuan 9 Huang, Zheng-Hai 9 Lu, Cheng 9 Luo, Jian 9 Wu, Yan-Kuen 8 He, Yiran 7 Ding, Xie Ping 7 Emrouznejad, Ali 7 Fernandes, Edite M. G. P. 7 Li, Pingke 7 Zhou, Xuegang 6 Fang, Changjie 6 Ghodousian, Amin 6 İlker Birbil, Ş. 6 Iusem, Alfredo Noel 6 Qi, Liqun 6 Rajasekera, J. 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