Edit Profile (opens in new tab) Plavka, Ján Co-Author Distance Author ID: plavka.jan Published as: Plavka, Ján; Plavka, J.; Plávka, Ján; Plávka, J. more...less Documents Indexed: 52 Publications since 1988 1 Contribution as Editor Co-Authors: 19 Co-Authors with 36 Joint Publications 169 Co-Co-Authors all top 5 Co-Authors 13 single-authored 15 Myšková, Helena 14 Gavalec, Martin 5 Ponce, Daniela 2 Gazda, Matej 1 Berežný, Štefan 1 Buša, Ján 1 Butkovič, Peter 1 Cechlárová, Katarína 1 Džurina, Jozef 1 Hayryan, Edik 1 Hayryan, Shura A. 1 Hu, Chinkun 1 Molnárová, Monika 1 Peperko, Aljoša 1 Pokorný, Imrich 1 Skřivánek, Jaroslav 1 Szabo, Peter 1 Tomášková, Hana 1 Wu, Ming-Chya all top 5 Serials 11 Discrete Applied Mathematics 11 Linear Algebra and its Applications 9 Kybernetika 7 Fuzzy Sets and Systems 4 Optimization 1 Computer Physics Communications 1 Linear and Multilinear Algebra 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Information Sciences 1 Acta Mathematica Universitatis Comenianae. New Series 1 Discrete Event Dynamic Systems 1 ZOR. Zeitschrift für Operations Research 1 Zborník Vedeckých Prác Vysokej Školy Technickej v Košici 1 Mathematical Methods of Operations Research all top 5 Fields 40 Linear and multilinear algebra; matrix theory (15-XX) 17 Combinatorics (05-XX) 16 Numerical analysis (65-XX) 16 Operations research, mathematical programming (90-XX) 7 General algebraic systems (08-XX) 4 Systems theory; control (93-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 234 times in 92 Documents Cited by ▼ Year ▼ Linear independence in bottleneck algebras. Zbl 0877.15017 Cechlárová, Katarína; Plávka, Ján 24 1996 Strong regularity of matrices in general max-min algebra. Zbl 1030.15016 Gavalec, Martin; Plávka, Ján 16 2003 On the \(\lambda \)-robustness of matrices over fuzzy algebra. Zbl 1225.15027 Plavka, Ján; Szabó, Peter 14 2011 Monotone interval eigenproblem in max-min algebra. Zbl 1202.15013 Gavalec, Martin; Plavka, Ján 14 2010 On the \(O(n^{3})\) algorithm for checking the strong robustness of interval fuzzy matrices. Zbl 1251.65065 Plavka, Ján 13 2012 Tolerance types of interval eigenvectors in max-plus algebra. Zbl 1427.15030 Gavalec, M.; Plavka, J.; Ponce, D. 13 2016 The robustness of interval fuzzy matrices. Zbl 1280.15015 Molnárová, M.; Myšková, H.; Plavka, J. 12 2013 An \(O(n^{2}\)) algorithm for maximum cycle mean of Monge matrices in max-algebra. Zbl 1041.90045 Gavalec, Martin; Plávka, Ján 9 2003 X-robustness of interval circulant matrices in fuzzy algebra. Zbl 1258.15012 Myšková, H.; Plavka, J. 9 2013 \(\ell\)-parametric eigenproblem in max-algebra. Zbl 1115.90048 Plavka, Ján 8 2005 Interval eigenproblem in max-min algebra. Zbl 1290.90057 Gavalec, Martin; Plavka, Ján; Tomášková, Hana 8 2014 The robustness of interval matrices in max-plus algebra. Zbl 1286.15031 Myšková, H.; Plavka, J. 8 2014 On eigenproblem for circulant matrices in max-algebra. Zbl 1005.90054 Plávka, Ján 7 2001 The weak robustness of interval matrices in max-plus algebra. Zbl 1311.15028 Plavka, Ján 7 2014 On the weak robustness of fuzzy matrices. Zbl 1267.15026 Plavka, Ján 7 2013 Strong tolerance of interval eigenvectors in fuzzy algebra. Zbl 1423.15010 Gavalec, M.; Plavka, J.; Ponce, D. 6 2019 Computing an eigenvector of a Monge matrix in max-plus algebra. Zbl 1134.05056 Gavalec, Martin; Plavka, Ján 5 2006 The complexity of finding the minimal of the maximum cycle means of similar zero-one matrices. Zbl 0815.68080 Plávka, J. 5 1994 Eigenproblem for monotone and Toeplitz matrices in a max-algebra. Zbl 1079.93033 Plavka, Ján 5 2004 Reachability of eigenspaces for interval circulant matrices in max-algebra. Zbl 1390.15033 Plavka, Ján; Sergeev, Sergeĭ 4 2018 \(\mathbf{X}\)-simple image eigencones of tropical matrices. Zbl 1347.15034 Plavka, Ján; Sergeev, Sergeĭ 4 2016 On the dependence of the maximum cycle mean of a matrix on permutations of the rows and columns. Zbl 0679.15017 Butkovič, Peter; Plávka, Ján 3 1989 Characterizing matrices with \(\pmb{X}\)-simple image eigenspace in max-min semiring. Zbl 1413.15049 Plavka, Ján; Sergeev, Sergeĭ 3 2016 Computing the greatest \(\mathbf{X}\)-eigenvector of a matrix in max-min algebra. Zbl 1389.15050 Plavka, Ján 3 2016 \(X^{A E}\) and \(X^{E A}\) robustness of max-min matrices. Zbl 1426.15048 Myšková, Helena; Plavka, Ján 3 2019 Simple image set of linear mappings in a max–min algebra. Zbl 1116.15002 Gavalec, Martin; Plavka, Ján 2 2007 Eigenproblem in extremal algebras. Zbl 1135.15004 Gavalec, Martin; Plavka, Ján 2 2007 Structure of the eigenspace of a Monge matrix in max-plus algebra. Zbl 1141.15009 Gavalec, Martin; Plavka, Ján 2 2008 AE and EA versions of \(\mathbf{X}\)-robustness for interval circulant matrices in max-min algebra. Zbl 07755385 Myšková, H.; Plavka, J. 2 2023 Interval robustness of (interval) max-plus matrices. Zbl 1447.15026 Myšková, Helena; Plavka, Ján 2 2020 ARVO: A Fortran package for computing the solvent accessible surface area and the excluded volume of overlapping spheres via analytic equations. Zbl 1196.92001 Buša, Ján; Džurina, Jozef; Hayryan, Edik; Hayryan, Shura; Hu, Chin-Kun; Plavka, Ján; Pokorný, Imrich; Skřivánek, Jaroslav; Wu, Ming-Chya 2 2005 AE and EA robustness of interval circulant matrices in max-min algebra. Zbl 1465.15038 Myšková, H.; Plavka, J. 2 2020 Subeigenvectors and supereigenvectors of fuzzy matrices. Zbl 1397.15031 Plavka, Ján 2 2018 Reachability of eigenspaces for interval matrices in max-min algebra. Zbl 1419.15023 Myšková, H.; Plavka, J. 2 2019 Special properties of Monge matrices in max-plus algebra. Zbl 0973.65029 Gavalec, Martin; Plávka, Ján 1 2000 Structure and dimension of the eigenspace of a concave Monge matrix. Zbl 1170.15302 Gavalec, Martin; Plavka, Ján 1 2009 On the weak robustness of interval fuzzy matrices. Zbl 1315.15030 Myšková, Helena; Plavka, Ján 1 2015 Generalized eigenproblem of interval max-min (fuzzy) matrices. Zbl 1464.15045 Plavka, Ján; Gazda, Matej 1 2021 AE and EA robustness of interval circulant matrices in max-product algebra. Zbl 1464.15041 Myšková, H.; Plavka, J. 1 2021 On the solvability of interval max-min matrix equations. Zbl 1459.15019 Myšková, Helena; Plavka, Ján 1 2020 AE and EA versions of \(\mathbf{X}\)-robustness for interval circulant matrices in max-min algebra. Zbl 07755385 Myšková, H.; Plavka, J. 2 2023 Generalized eigenproblem of interval max-min (fuzzy) matrices. Zbl 1464.15045 Plavka, Ján; Gazda, Matej 1 2021 AE and EA robustness of interval circulant matrices in max-product algebra. Zbl 1464.15041 Myšková, H.; Plavka, J. 1 2021 Interval robustness of (interval) max-plus matrices. Zbl 1447.15026 Myšková, Helena; Plavka, Ján 2 2020 AE and EA robustness of interval circulant matrices in max-min algebra. Zbl 1465.15038 Myšková, H.; Plavka, J. 2 2020 On the solvability of interval max-min matrix equations. Zbl 1459.15019 Myšková, Helena; Plavka, Ján 1 2020 Strong tolerance of interval eigenvectors in fuzzy algebra. Zbl 1423.15010 Gavalec, M.; Plavka, J.; Ponce, D. 6 2019 \(X^{A E}\) and \(X^{E A}\) robustness of max-min matrices. Zbl 1426.15048 Myšková, Helena; Plavka, Ján 3 2019 Reachability of eigenspaces for interval matrices in max-min algebra. Zbl 1419.15023 Myšková, H.; Plavka, J. 2 2019 Reachability of eigenspaces for interval circulant matrices in max-algebra. Zbl 1390.15033 Plavka, Ján; Sergeev, Sergeĭ 4 2018 Subeigenvectors and supereigenvectors of fuzzy matrices. Zbl 1397.15031 Plavka, Ján 2 2018 Tolerance types of interval eigenvectors in max-plus algebra. Zbl 1427.15030 Gavalec, M.; Plavka, J.; Ponce, D. 13 2016 \(\mathbf{X}\)-simple image eigencones of tropical matrices. Zbl 1347.15034 Plavka, Ján; Sergeev, Sergeĭ 4 2016 Characterizing matrices with \(\pmb{X}\)-simple image eigenspace in max-min semiring. Zbl 1413.15049 Plavka, Ján; Sergeev, Sergeĭ 3 2016 Computing the greatest \(\mathbf{X}\)-eigenvector of a matrix in max-min algebra. Zbl 1389.15050 Plavka, Ján 3 2016 On the weak robustness of interval fuzzy matrices. Zbl 1315.15030 Myšková, Helena; Plavka, Ján 1 2015 Interval eigenproblem in max-min algebra. Zbl 1290.90057 Gavalec, Martin; Plavka, Ján; Tomášková, Hana 8 2014 The robustness of interval matrices in max-plus algebra. Zbl 1286.15031 Myšková, H.; Plavka, J. 8 2014 The weak robustness of interval matrices in max-plus algebra. Zbl 1311.15028 Plavka, Ján 7 2014 The robustness of interval fuzzy matrices. Zbl 1280.15015 Molnárová, M.; Myšková, H.; Plavka, J. 12 2013 X-robustness of interval circulant matrices in fuzzy algebra. Zbl 1258.15012 Myšková, H.; Plavka, J. 9 2013 On the weak robustness of fuzzy matrices. Zbl 1267.15026 Plavka, Ján 7 2013 On the \(O(n^{3})\) algorithm for checking the strong robustness of interval fuzzy matrices. Zbl 1251.65065 Plavka, Ján 13 2012 On the \(\lambda \)-robustness of matrices over fuzzy algebra. Zbl 1225.15027 Plavka, Ján; Szabó, Peter 14 2011 Monotone interval eigenproblem in max-min algebra. Zbl 1202.15013 Gavalec, Martin; Plavka, Ján 14 2010 Structure and dimension of the eigenspace of a concave Monge matrix. Zbl 1170.15302 Gavalec, Martin; Plavka, Ján 1 2009 Structure of the eigenspace of a Monge matrix in max-plus algebra. Zbl 1141.15009 Gavalec, Martin; Plavka, Ján 2 2008 Simple image set of linear mappings in a max–min algebra. Zbl 1116.15002 Gavalec, Martin; Plavka, Ján 2 2007 Eigenproblem in extremal algebras. Zbl 1135.15004 Gavalec, Martin; Plavka, Ján 2 2007 Computing an eigenvector of a Monge matrix in max-plus algebra. Zbl 1134.05056 Gavalec, Martin; Plavka, Ján 5 2006 \(\ell\)-parametric eigenproblem in max-algebra. Zbl 1115.90048 Plavka, Ján 8 2005 ARVO: A Fortran package for computing the solvent accessible surface area and the excluded volume of overlapping spheres via analytic equations. Zbl 1196.92001 Buša, Ján; Džurina, Jozef; Hayryan, Edik; Hayryan, Shura; Hu, Chin-Kun; Plavka, Ján; Pokorný, Imrich; Skřivánek, Jaroslav; Wu, Ming-Chya 2 2005 Eigenproblem for monotone and Toeplitz matrices in a max-algebra. Zbl 1079.93033 Plavka, Ján 5 2004 Strong regularity of matrices in general max-min algebra. Zbl 1030.15016 Gavalec, Martin; Plávka, Ján 16 2003 An \(O(n^{2}\)) algorithm for maximum cycle mean of Monge matrices in max-algebra. Zbl 1041.90045 Gavalec, Martin; Plávka, Ján 9 2003 On eigenproblem for circulant matrices in max-algebra. Zbl 1005.90054 Plávka, Ján 7 2001 Special properties of Monge matrices in max-plus algebra. Zbl 0973.65029 Gavalec, Martin; Plávka, Ján 1 2000 Linear independence in bottleneck algebras. Zbl 0877.15017 Cechlárová, Katarína; Plávka, Ján 24 1996 The complexity of finding the minimal of the maximum cycle means of similar zero-one matrices. Zbl 0815.68080 Plávka, J. 5 1994 On the dependence of the maximum cycle mean of a matrix on permutations of the rows and columns. Zbl 0679.15017 Butkovič, Peter; Plávka, Ján 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 75 Authors 35 Plavka, Ján 20 Myšková, Helena 16 Gavalec, Martin 11 Wang, Xueping 7 Shu, Qianyu 4 Ponce, Daniela 3 Fang, Shu-Cherng 3 Li, Pingke 3 Niţică, Viorel 3 Szabo, Peter 3 Tao, Yuegang 3 Wang, Cailu 3 Zhao, Shan 2 Lodwick, Weldon Alexander 2 Molnárová, Monika 2 Sergeev, Sergeĭ Mikhaĭlovich 2 Tan, Yijia 2 Tomášková, Hana 2 Yin, Yingxuan 1 Abbasbandy, Saeid 1 Adzkiya, Dieky 1 Allame, Masoud 1 Babolian, Esmail 1 Bisi, Fulvio 1 Butkovič, Peter 1 Cechlárová, Katarína 1 Chen, Haiyong 1 Cuninghame-Green, Ray A. 1 Duan, Junsheng 1 Gazda, Matej 1 Gondran, Michel 1 Guo, Aiping 1 Hedvièáková, Martina 1 Imaev, Aleksey A. 1 Joy, Geena 1 Judd, Robert P. 1 Kohlas, Jürg 1 Kolesár, Karol 1 Leela-Apiradee, Worrawate 1 Li, Dechao 1 Li, Haohao 1 Li, Wei 1 Li, Yuying 1 Li, Zhiwu 1 Liu, Chia-Cheng 1 Liu, Chongyang 1 Liu, Weili 1 Lur, Yung-Yih 1 Minoux, Michel Andre 1 Mizukoshi, Marina Tuyako 1 Mufid, Muhammad Syifa’ul 1 Němcová, Zuzana 1 Pozdílková, Alena 1 Pribiš, Ján 1 Qiao, Lei 1 Quan, Chaoyu 1 Rosso, Riccardo 1 Singer, Ivan 1 Stamm, Benjamin 1 Štefanský, L. 1 Subiono, S. 1 Tang, Wenguang 1 Thipwiwatpotjana, Phantipa 1 Thomas, K. V. 1 Wang, Dongxia 1 Wang, Huili 1 Wu, Yan-Kuen 1 Xia, Chao 1 Xia, Yuanqing 1 Xie, Jun 1 Xu, Li 1 Xu, Xiaozhu 1 Yuan, Jinlong 1 Zhang, Haifeng 1 Zhao, Fenxia all top 5 Cited in 24 Serials 23 Linear Algebra and its Applications 14 Discrete Applied Mathematics 12 Fuzzy Sets and Systems 7 Linear and Multilinear Algebra 7 Kybernetika 4 Information Sciences 3 Discrete Event Dynamic Systems 3 Fuzzy Optimization and Decision Making 2 Optimization 2 Soft Computing 1 Artificial Intelligence 1 Communications in Algebra 1 International Journal of Control 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Operations Research Letters 1 European Journal of Applied Mathematics 1 Communications in Statistics. Theory and Methods 1 International Journal of Robust and Nonlinear Control 1 Computational and Applied Mathematics 1 Mathematical Methods of Operations Research 1 Journal of Inequalities and Applications 1 Journal of Industrial and Management Optimization 1 Asian-European Journal of Mathematics all top 5 Cited in 19 Fields 70 Linear and multilinear algebra; matrix theory (15-XX) 21 Numerical analysis (65-XX) 15 Operations research, mathematical programming (90-XX) 14 Combinatorics (05-XX) 13 Associative rings and algebras (16-XX) 9 General algebraic systems (08-XX) 7 Systems theory; control (93-XX) 6 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Algebraic geometry (14-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) Citations by Year