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A novel approach in uncertain programming part I: new arithmetic and order relation for interval numbers
A novel approach in uncertain programming part II: a class of constrained nonlinear programming problems with interval objective functions
1.  School of Mathematics and Statistics, Wuhan University, Wuhan 430072 
2.  School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Hwy, Crawley, WA 6009, Australia 
[1] 
Nizami A. Gasilov. Solving a system of linear differential equations with interval coefficients. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 27392747. doi: 10.3934/dcdsb.2020203 
[2] 
Luke Finlay, Vladimir Gaitsgory, Ivan Lebedev. Linear programming solutions of periodic optimization problems: approximation of the optimal control. Journal of Industrial & Management Optimization, 2007, 3 (2) : 399413. doi: 10.3934/jimo.2007.3.399 
[3] 
Namsu Ahn, Soochan Kim. Optimal and heuristic algorithms for the multiobjective vehicle routing problem with drones for military surveillance operations. Journal of Industrial & Management Optimization, 2021 doi: 10.3934/jimo.2021037 
[4] 
Ardeshir Ahmadi, Hamed DavariArdakani. A multistage stochastic programming framework for cardinality constrained portfolio optimization. Numerical Algebra, Control & Optimization, 2017, 7 (3) : 359377. doi: 10.3934/naco.2017023 
[5] 
Hong Seng Sim, Wah June Leong, Chuei Yee Chen, Siti Nur Iqmal Ibrahim. Multistep spectral gradient methods with modified weak secant relation for large scale unconstrained optimization. Numerical Algebra, Control & Optimization, 2018, 8 (3) : 377387. doi: 10.3934/naco.2018024 
[6] 
Pavel I. Naumkin, Isahi SánchezSuárez. Asymptotics for the higherorder derivative nonlinear Schrödinger equation. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021028 
[7] 
Xiaoming Wang. Quasiperiodic solutions for a class of second order differential equations with a nonlinear damping term. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 543556. doi: 10.3934/dcdss.2017027 
[8] 
Thomas Alazard. A minicourse on the low Mach number limit. Discrete & Continuous Dynamical Systems  S, 2008, 1 (3) : 365404. doi: 10.3934/dcdss.2008.1.365 
[9] 
Naeem M. H. Alkoumi, Pedro J. Torres. Estimates on the number of limit cycles of a generalized Abel equation. Discrete & Continuous Dynamical Systems  A, 2011, 31 (1) : 2534. doi: 10.3934/dcds.2011.31.25 
[10] 
Dmitry Treschev. A locally integrable multidimensional billiard system. Discrete & Continuous Dynamical Systems  A, 2017, 37 (10) : 52715284. doi: 10.3934/dcds.2017228 
[11] 
JeanFrançois Biasse. Improvements in the computation of ideal class groups of imaginary quadratic number fields. Advances in Mathematics of Communications, 2010, 4 (2) : 141154. doi: 10.3934/amc.2010.4.141 
[12] 
Caifang Wang, Tie Zhou. The order of convergence for Landweber Scheme with $\alpha,\beta$rule. Inverse Problems & Imaging, 2012, 6 (1) : 133146. doi: 10.3934/ipi.2012.6.133 
[13] 
Alexandre B. Simas, Fábio J. Valentim. $W$Sobolev spaces: Higher order and regularity. Communications on Pure & Applied Analysis, 2015, 14 (2) : 597607. doi: 10.3934/cpaa.2015.14.597 
[14] 
Anton Schiela, Julian Ortiz. Second order directional shape derivatives of integrals on submanifolds. Mathematical Control & Related Fields, 2021 doi: 10.3934/mcrf.2021017 
[15] 
Dayalal Suthar, Sunil Dutt Purohit, Haile Habenom, Jagdev Singh. Class of integrals and applications of fractional kinetic equation with the generalized multiindex Bessel function. Discrete & Continuous Dynamical Systems  S, 2021 doi: 10.3934/dcdss.2021019 
[16] 
Qian Liu. The lower bounds on the secondorder nonlinearity of three classes of Boolean functions. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2020136 
[17] 
Diana Keller. Optimal control of a linear stochastic Schrödinger equation. Conference Publications, 2013, 2013 (special) : 437446. doi: 10.3934/proc.2013.2013.437 
[18] 
Guillaume Bal, Wenjia Jing. Homogenization and corrector theory for linear transport in random media. Discrete & Continuous Dynamical Systems  A, 2010, 28 (4) : 13111343. doi: 10.3934/dcds.2010.28.1311 
[19] 
Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco. Linear nonbinary covering codes and saturating sets in projective spaces. Advances in Mathematics of Communications, 2011, 5 (1) : 119147. doi: 10.3934/amc.2011.5.119 
[20] 
W. Cary Huffman. On the theory of $\mathbb{F}_q$linear $\mathbb{F}_{q^t}$codes. Advances in Mathematics of Communications, 2013, 7 (3) : 349378. doi: 10.3934/amc.2013.7.349 
2019 Impact Factor: 1.366
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