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Contact information Address: Department of Mathematics, The University of Texas Pan American, 1201 West University, Edinburg, Texas, 78541, USA Phone: +1-956-381-2578 E-mail: bede.barna@bgk.bmf.hu, bedeb@utpa.edu Webpage: http://www.math.utpa.edu/bedeb/ Previous positions Visiting Assistant Professor Department of Mathematical Sciences, The University of Texas at El Paso, 500 West University, El Paso, Texas, 79968, USA Assistant Professor, Department of Mechanical and System Engineering, Bánki Donát Faculty of Mechanical Engineering, Budapest Tech, Népszinház u. 8, H-1081 Budapest, Hungary Assistant Professor, (2002-2004, Lecturer) Department of Mathematics and Informatics, Faculty of Science, University of Oradea, Armatei Romane, 5, 410087 Oradea, Romania Short-term research fellowships April, 2002, Soft Computing Laboratory at Salerno University, Italy. Oct, 2003, Soft Computing Laboratory at Salerno University, Italy. Nov, 2003, Center for Machine Perception at Czech Technical University, Prague, Czech Republic. March 2006, Institute for Research and Applications of Fuzzy Modeling, Ostrava University, Czech Republic Research topics · Fuzzy Differential Equations and Fuzzy Partial Differential Equations · Modeling under Epistemic Uncertainty · Fuzzy Numbers · Soft Computing in Image Processing · Nuclear Safety Assessment General research philosophy: Design of efficient methods for Modeling under Epistemic Uncertainty in a Dynamical Environment, and finding connections between the Theory of Fuzzy Sets and Mathematical Analysis Awards: · “Youth Award of the Hungarian Fuzzy Association”, November 2005 · “Best Session Presentation Award”, World Congress of Computational Intelligence, Vancouver, July 2006 Educational Background Qualification: PhD in Mathematics, 2004, title of the PhD thesis: Numerical Analysis in Fuzzy Mathematics 2000-2004 PhD, Matematics, University Babes-Bolyai, Cluj-Napoca, Romania 1998-1999 MSc, Mathematics, University of Oradea, Romania 1994-1998 BSc, Mathematics and Physics, University of Oradea, Romania Miscellaneous: Hobby: Fishing Erdős number = 3
Journal Papers To appear: [1] B. Bede, G.B. Tenali, Perspectives of Fuzzy Initial Value Problems, submitted. [2] B. Bede, H. Nobuhara, M. Dankova, A. Di Nola, Approximation by using pseudo-linear operators, submitted. [3] B. Bede, E.D. Schwab, I.J. Rudas, H. Nobuhara, Pseudo-linear Approximation Operators in Image Processing, submitted. [4] B. Bede, I.J. Rudas, A.L. Bencsik, First Order Linear Fuzzy Differential Equations under Generalized Differentiability, Information Sciences, to appear. 2006: [5] B. Bede, A note on "Two-point boundary value problems associated with non-linear fuzzy differential equations", Fuzzy Sets and Systems, 157(2006), 986-989. [6] H. Nobuhara, B. Bede, K. Hirota, On Various Eigen Fuzzy Sets and Their Application to Image Reconstruction, Information Sciences, 176 (2006), 2988-3010. [7] A. Di Nola, B. Bede, Image File Compression Using Approximation and Fuzzy Logic, Lecture Notes in Artificial Intelligence 2955 (2006), 200–207. [8] A. Di Nola, N. Paladino, B. Bede, Image file compression using region growing and interpolation, Lecture Notes in Computer Science, 3931 (2006), 188-196. [9] B. Bede, H. Nobuhara, J. Fodor, K. Hirota, Max-Product Shepard Approximation Operators, Journal of Advanced Computational Intelligence and Intelligent Informatics, 10 (2006), 494-497. [10] P. Blaga, B. Bede, Approximation by fuzzy B-spline series, Journal of Applied Mathematics and Computing, 20 (2006), pp. 157-169. [11] A. Ban, B. Bede, Power series of fuzzy numbers with cross product and applications to fuzzy differential equations, Journal of Concrete and Applicable Mathematics, 4(2006), 125-152. [12] A. Ban, B. Bede, Properties of the cross product of fuzzy numbers, Journal of Fuzzy Mathematics, 14 (2006), 513-531. [13] J. Gáti, B. Bede, Variation diminishing spline approximation of fuzzy functions, WSEAS Transactions on Mathematics 5 (2006), pp. 48-53. [14] B. Bede, J. Fodor, Product type operations between fuzzy numbers and their applications in geology, Acta Polytechnica Hungarica, 3(2006), 123-139. 2005: [15] Bede, S.G. Gal, Generalizations of the Differentiability of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations, Fuzzy Sets and Systems 151(2005) 581-599. [16] Bede, G. Iovane, I. Esposito, Fuzzy Fourier transforms and their applications to fingerprint coding, Journal of Discrete Mathematical Sciences & Cryptography, 8(2005), 59-79. 2004: [17] Bede, S.G. Gal, Almost periodic fuzzy-number-valued functions, Fuzzy Sets and Systems 147(2004), 385-403. [18] B. Bede, S.G. Gal, Quadrature Rules for Fuzzy-Number-Valued Functions, Fuzzy Sets and Systems 145(2004), 359-380. [19] B. Bede, A. Di Nola, Elementary calculus in Riesz MV-algebras, International Journal of Approximate Reasoning, 36(2004), 129-149. [20] B. Bede, S.G. Gal, Best Approximation and Jackson-Type Estimates for Fuzzy-Number-Valued Functions, Journal of Concrete and Applicable Mathematics, 2(2004), 213-232. [21] H. Nobuhara, K. Hirota, B. Bede, Decomposition of fuzzy relation based on multiresolution scheme, Fuzzy Systems & AI, 10(2004), 43–54. [22] B. Bede, H. Nobuhara, K. Hirota, A. Di Nola, V. Loia, Max t-norm Approximation Operators and Applications in Image Processing, WSEAS Transactions on Information Sciences and Applications, 1(2004), 1551-1556. 2003: [23] Noje, B. Bede, Vectorial MV-algebras, Soft Computing 7 (2003), 258-262. [24] Ban, B. Bede, Cross product of L-R fuzzy numbers and applications, Annals of the University of Oradea, Fasc, Matem. 9(2003), 95-108. 2001: [25] Noje, B. Bede, The MV-Algebra Structure of RGB-model, Studia Univ. Babeş-Bolyai, Informatica, XLVI, 1(2001), 77-86. Conference Proceedings 2006: [1] I. J. Rudas, B. Bede, H. Nobuhara, and K. Hirota, 'On approximation capability of peudo-linear Shepard approximation operators,' Proc. of IEEE International Conference on Fuzzy Systems (Fuzz-IEEE2006), pp. 6642-6647, Sheraton Vancouver Wall Centre Hotel, Vancouver, BC, Canada, July 16-21, 2006. [2] H. Nobuhara, B. Bede, and K. Hirota, 'A Hierarchical Representation of Video/Image Database by Formal Concept Analysis and Fuzzy Clustering,' Proc. of IEEE International Conference on Fuzzy Systems (Fuzz-IEEE2006), pp. 4293-4297, Sheraton Vancouver Wall Centre Hotel, Vancouver, BC, Canada, July 16-21, 2006. [3] M. Dankova, B. Bede, Aggregation Operators Based Fuzzy Approximation, Proc. of International Conference on Intelligent Engineering Systems, INES’06, pp. 154-159, London, UK, June 26-28, 2006. [4] A. L. Bencsik, B. Bede, D. Noje, H. Nobuhara, K. Hirota, Max product exponential approximation operators, IEEE ISIE 2006, 542-547, July 9-12, Montreal, Canada 2006. [5] J. Fodor, B. Bede, Arithmetics with Fuzzy Numbers: a Comparative Overview, SAMI 2006 conference, Herlany, Slovakia. [6] B. Bede, Fuzzy Differential Equations under generalized differentiability, FSTA 2006, Liptovsky Mikulas, Slovakia. [7] I.J. Rudas, J. Fodor, B. Bede, Uninorms and Absorbing norms in Image Processing, SACI 2006, Timisoara, Romania. [8] A.L. Bencsik, B. Bede, J.K. Tar, J. Fodor, Fuzzy differential equations in modeling of Hydraulic Differential Servo Cylinders, SACI 2006, Timisoara, Romania. [9] J. Fodor, I.J. Rudas, B. Bede, Uninorms and Absorbing Norms with Applications to Image Processing, SISY 2006, Subotica, Serbia, 2006. [10] M. Dankova, I. Stajner Papuga, B. Bede, Pseudo-Fourier Transform, SISY 2006, Subotica, Serbia, 2006. 2005: [11] B. Bede, I.J. Rudas, S.G. Gal, "Almost periodic solutions of fuzzy differential equations" to the International Symposium on Computational Intelligence and Intelligent Informatics– ISCIII’2005, Carthage, Tunisia. [12] H. Nobuhara, B. Bede, and K. Hirota, 'Max-plus Algebra Based Wavelets and Their Application to Motion Compression/Reconstruction,' Proc. of the 6th International Symposium on Advanced Intelligent Systems (ISIS2004), pp. 27-32, Yeosu, Korea, September 28-October 1, 2005 [13] H. Nobuhara, K. Kitamura, B. Bede, and K. Hirota, 'Generalized Non-linear Wavelets and Their Application to Medical Image Processing,' Proc. of IEEE International Conference on Systems, Man and Cybernetics (IEEE 2005 SMC) (CD-Proceedings), T-PM5-2, Hawaii, USA, October 10-12, 2005 [14] J. Gáti, B. Bede, Variation diminishing spline approximation of fuzzy functions, Proceedings of the WSEAS MATH’05 Conference, Tenerife, Canary Island. [15] B. Bede, J. Fodor, The cross product of fuzzy numbers and its applications in geology, MTN 2005 conference, Budapest, Hungary. [16] B. Bede, H. Nobuhara, I.J. Rudas, K. Hirota, Shepard Approximation of Fuzzy Input Fuzzy Output Functions, Proceedings of the SAMI 2005 conference, Herlany, Slovakia, 115-122. [17] B. Bede, I.J. Rudas, A. L. Bencsik, First order linear fuzzy differential equations under generalized differentiability, Proceedings of the SACI 2005 conference, Timisoara, Romania, 285-294. [18] H. Nobuhara, K. Kitamura B. Bede and K. Hirota, Generalized Non-linear Wavelets and Their Application to Medical Image Processing, IEEE International Conference on Systems, Man and Cyernetics (IEEE 2005 SMC), Hawaii, USA - October 10-12, 2005. [19] H. Nobuhara, B. Bede, K. Hirota, Fuzzy/Max-plus Algebraic Structure Based Image [20] B. Bede, H. Nobuhara, I. J. Rudas, K. Hirota, Generalized Convex Combined Eigen Fuzzy Sets and Their Applications to Image Analysis, IEEE SOFA 2005, Szeged-Arad, Hungary-Romania, 27-30. [21] H. Nobuhara, B. Bede, K. Hirota, Multichannel Representation of Non-Linear Wavelets and Its Application to Image Compression/Reconstruction, IEEE SOFA 2005, Szeged-Arad, Hungary-Romania, 172-178. [22] H. Nobuhara, B. Bede, K. Hirota, A Fast Learning Method Using Cost Matrices for Morphological Neural Networks, SISY2005, Subotica, Serbia and Montenegro 149-156. [23] B. Bede, H. Nobuhara, J. Fodor, K. Hirota, Max-Product Shepard Approximation Operators, SISY2005, Subotica, Serbia and Montenegro, 101-108. [24] H. Nobuhara, B. Bede, and K. Hirota, On A Simplification of Non-linear Wavelets and Its Application to Image Compression/Reconstruction', 2005 IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NISP 2005), May 18-20, Sapporo, Japan. 2004: [25] B. Bede, H. Nobuhara, K. Hirota, Numerical Computation of Eigen Fuzzy Sets and Applications to Image Analysis, Proceedings of the International Conference on Computers and Communications, Oradea, 2004, 275-280. [26] H. Nobuhara, E.M. Iyoda, B. Bede, K. Hirota, A Solution of Eigen Fuzzy Sets Equations by Genetic Algorithms and its Application to Image Analysis, Second IEEE Conference on Intelligent Systems, Varna, Bulgaria, 2004, 208-212. [27] H. Nobuhara, B. Bede, K. Hirota, Generation of various eigen fuzzy sets by permutation fuzzy matrix and its application to image analysis, IEEE International Conference on Fuzzy Systems, Budapest Hungary, 3(2004), 1715-1719. [28] H. Nobuhara, B. Bede, and K. Hirota, 'Generalized T-norm/S-norm Based Decomposition of Fuzzy Relation and its Application to Image Component Analysis,' Proc. of AFSS2004 International Conference on Fuzzy Systems, pp. 21 - 25, Hanoi, Vietnam, December 15-17, 2004. [29] H. Nobuhara, B. Bede, K. Hirota, and N. Wakami, 'Flexible Design of Synthesis/Analysis Operations for Morphological Wavelets,' Proc. of International Symposium on Computational Intelligence and Industrial Applications (ISCIIA2004)(CD-Proceedings), TA2C-3, Haikou, China, December 20 - 24, 2004. 2003: [30] A. Di Nola, B. Bede, Image file compression using approximation and fuzzy logic, Proceedings of WILF 2003 conference, Napoli, Italy. [31] H. Nobuhara,, B. Bede, K. Hirota, and N. Wakami, 'Flexible Design of Synthesis/Analysis Operations for Morphological Wavelets,' International Symposium on Computational Intelligence and Industrial Applications (ISCIIA2004), Haikou, China, Dec. 20 - 24, 2004, CD-Proceedings. [32] H. Nobuhara, B. Bede and K. Hirota, 'Generalized T-norm/S-norm Based Decomposition of Fuzzy Relation and its Apllication to Image Component Analysis,' AFSS2004, International |
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Barnabás Bede CV and list of publications |
