Prof. Dr. rer. nat. Gunther Jäger

Lehrveranstaltungen:

  • MBB/MESB 1000 Mathematik I
  • MBB/MSEB 1010 Mathematik II
  • MBM 1000 Ausgewählte Kapitel der Mathematik
  • SSDM/REEMM 1000 Selected Chapters of Mathematics
Zur Person

Prof. Jäger studierte an der Universität Karlsruhe (TH) Diplom-Mathematik und promovierte auch dort in Mathematik. Von 1998 bis 2001 war er wissenschaftlicher Mitarbeiter am Deutschen Zentrum für Luft- und Raumfahrt (DLR) in Oberpfaffenhofen. Dort beschäftigte er sich mit der Anwendung von fuzzy Methoden und neuronalen Netzen in der automatischen Bilderkennung von Synthetischen Apertur Radar (SAR) Bildern. Im Anschluss ging er für 2 Jahre als postdoctoral research fellow an das Department of Mathematics der Rhodes University, Grahamstown, Südafrika. Nach einer Zwischenstation als Vertretungsprofessor an der Hochschule Darmstadt, Fachbereich Mathematik und Naturwissenschaften, ging er 2005 erneut an die Rhodes University, Südafrika, diesmal als Associate Professor im Department of Statistics. Von 2009 bis 2012 war er dort auch Head of Department. Seit 2012 lehrt er an der Hochschule Stralsund die Mathematikvorlesungen in der Fakultät für Maschinenbau.

Seine Forschungsinteressen liegen neben statistischen Methoden und Methoden der künstlichen Intelligenz bei der Klassifikation, hauptsächlich im Bereich der verbandswertigen Konvergenzräume. Er ist Mitglied des Advisory Editorial Boards der Fachzeitschrift „Iranian Journal of Fuzzy Mathematics“.

Seit Juli 2019 ist Prof. Jäger der Dekan der Fakultät für Maschinenbau.

 

Publikationen
Begutachtete Artikel - Mathematik
1 Jäger, G.: Compactness in fuzzy convergence spaces, Fuzzy Sets and Systems 90 (1997), 341 – 348.
2 Jäger, G.: The Richardson compactification for fuzzy convergence spaces, Fuzzy Sets and Systems 92 (1997), 349 – 355.
3 Jäger, G.: Extending 2α-connectedness to fuzzy subsets, Journal of Fuzzy Mathematics 5 (1997), 733 – 740.
4 Jäger, G.: Separation axioms for fuzzy convergence spaces, Journal of Fuzzy Mathematics 5 (1997), 915 – 924.
5 Jäger, G.: Compactness and connectedness as absolute properties in fuzzy topological spaces, Fuzzy Sets and Systems 94 (1998), 405 – 410.
6 Jäger, G.: Function spaces in FTS, Journal of Fuzzy Mathematics 6 (1998), 929 – 939.
7 Jäger, G.: Relative compact fuzzy subsets in fuzzy convergence spaces, Fuzzy Sets and Systems 101 (1999), 159 – 165.
8 Jäger, G.: On fuzzy function spaces, International Journal of Mathematics and Mathematical Sciences 22 (1999), 727 – 737.
9 Jäger, G.: Fuzzy uniform convergence and equicontinuity, Fuzzy Sets and Systems 109 (2000), 187 – 198.
10 Jäger, G.: Compactness in fuzzy function spaces, Quaestiones Mathematicae 23 (2000), 203 – 217.
11 Jäger, G.: Pointwise convergence, continuous convergence and even continuity in FNS, Fuzzy Sets and Systems 112 (2000), 277 – 285.
12 Jäger, G.: On connectedness in fuzzy convergence spaces, Journal of Fuzzy Mathematics 8 (2000), 181 – 190.
13 Jäger, G.: Even continuity and equicontinuity in fuzzy topology, Fuzzy Sets and Systems 123 (2001), 159 – 167.
14 Jäger, G.: A category of L-fuzzy convergence spaces, Quaestiones Mathematicae 24 (2001), 501 – 518.
15 Jäger, G.: Degrees of compactness in fuzzy convergence spaces, Fuzzy Sets and Systems 125 (2002), 167 – 175.
16 Jäger, G.: Fuzzy properties in fuzzy convergence spaces, International Journal of Mathematics and Mathematical Sciences 29 (2002), 737 – 748.
17 Jäger, G.: Characterization of fuzzy properties in I-topological spaces, Journal of Fuzzy Mathematics 10 (2002), 49 – 58.
18 Jäger, G.: Lowen fuzzy convergence spaces viewed as [0,1]-fuzzy convergence spaces, Journal of Fuzzy Mathematics 10 (2002), 227 – 236.
19 Jäger, G.: Subcategories of lattice-valued convergence spaces, Fuzzy Sets and Systems 156 (2005), 1 – 24.
20 Jäger, G. and Burton, M.H.: Stratified L-uniform convergence spaces, Quaestiones Mathematicae 28 (2005), 11 – 36.
21 Jäger, G.: Lattice-valued continuous convergence is induced by a lattice-valued uniform convergence structure, Fuzzy Sets and Systems 157 (2006), 2715 – 2724.
22 Jäger, G.: Pretopological and topological lattice-valued convergence spaces, Fuzzy Sets and Systems 158 (2007), 424 – 435.
23 Jäger, G.: Fischer’s diagonal condition for lattice-valued convergence spaces, Quaestiones Mathematicae 31 (2008), 11 – 25.
24 Jäger, G.: Lattice-valued convergence spaces and regularity, Fuzzy Sets and Systems 159 (2008), 2488 – 2502.
25 Jäger, G.: Level spaces for lattice-valued uniform convergence spaces, Quaestiones Mathematicae 31 (2008), 255 – 277.
26 Craig, A.K. and Jäger, G.: A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces, Fuzzy Sets and Systems 160 (2009), 1177 – 1203.
27 Jäger, G.: Compactification of lattice-valued convergence spaces, Fuzzy Sets and Systems 161 (2010), 1002 – 1010.
28 Jäger, G.: Lattice-valued Cauchy spaces and completion, Quaestiones Mathematicae 33 (2010), 53 – 74.
29 Jäger, G.: Compactness in lattice-valued function spaces, Fuzzy Sets and Systems 161 (2010), 2962 – 2974.
30 Jäger, G.: Lattice-valued categories of lattice-valued convergence spaces, Iranian J. of Fuzzy Systems 8, No. 2 (2011), 67 – 89.
31 Orpen, D. and Jäger, G.: Lattice-valued convergence spaces: Extending the lattice context, Fuzzy Sets and Systems 190 (2012), 1 – 20.
32 Jäger, G.: A one-point compactification for lattice-valued convergence spaces, Fuzzy Sets and Systems 190 (2012), 21 – 31.
33 Jäger, G.: Largest and smallest T2-compactifications of lattice-valued convergence spaces, Fuzzy Sets and Systems 190 (2012), 32 – 46.
34 Jäger, G.: A Stone-Čech type compactification for convergence approach spaces, Quaestiones Mathematicae 35 (2012), 209 – 217.
35 Jäger, G.: Gähler’s neighbourhood condition for lattice-valued convergence spaces, Fuzzy Sets and Systems 204 (2012), 27 – 39.
36 Jäger, G.: Convergence approach spaces and approach spaces as lattice-valued convergence spaces, Iranian J. of Fuzzy Systems 9(4), (2012), 1 – 16.
37 Jäger, G.: A note on neighbourhoods for approach spaces, Hacettepe Journal of Mathematics and Statistics 41 (2012), 283 – 290.
38 Jäger, G.: Diagonal conditions for lattice-valued uniform convergence spaces, Fuzzy Sets and Systems 210 (2013), 39 – 53.
39 Jäger, G.: Gähler’s neighbourhood condition for convergence approach spaces, Acta Math. Hungarica 139 (2013), 19-31.
40 Jäger, G.: A note on stratified LM-filters, Iranian J. of Fuzzy Systems 10(4), (2013), 135 – 142.
41 Jäger, G. and Ahsanullah, T.M.G.: Probabilistic limit groups under a t-norm, Topology Proceedings 44 (2014), 59 – 74.
42 Jäger, G.: Extensions of contractions and uniform contractions on dense subspaces, Quaestiones Mathematicae 37 (2014), 111– 125.
43 Ahsanullah, T.M.G. and Jäger, G.: On approach limit groups and their uniformization, Int. J. Contemp. Math. Sci. 9 (2014), 195 – 213.
44 Jäger, G.: On diagonal completion of lattice-valued diagonal Cauchy spaces, Fuzzy Sets and Systems 267 (2015), 18 – 30.
45 Ahsanullah, T.M.G. and Jäger, G.: Probabilistic uniform convergence spaces redefined, Acta Math. Hungarica 146 (2015), 376 – 390.
46 Jäger, G.: Remarks on completeness of lattice-valued Cauchy spaces, Iranian J. of Fuzzy Systems 12(4), (2015), 123 – 132.
47 Jäger, G.: A convergence theory for probabilistic metric spaces, Quaestiones Mathematicae 38 (2015), 587 – 599.
48 Pinchuck, A.L. and Jäger, G.: On the isomorphy of categories of probabilistic limit spaces under t-norms, Hacettepe Journal of Mathematics and Statistics 44(6) (2015), 1411 – 1426.
49 Jäger, G.: Stratified LMN-convergence tower spaces, Fuzzy Sets and Systems 282 (2016), 62 – 73.
50 Jäger, G.: Uniform connectedness and uniform local connectedness for lattice-valued uniform convergence spaces, Iranian J. of Fuzzy Systems 13 (2016), 95 – 111.
51 Jäger, G.: Connectedness and local connectedness for lattice-valued convergence spaces, Fuzzy Sets and Systems 300 (2016), 134 – 146.
52 Jäger, G. and Yao, W.: Completely prime L-filters, irreducible L-filters and sobriety, Quaestiones Mathematicae 39 (2016), 831 – 844.
53 Jäger, G.: A common framework for lattice-valued, probabilistic and approach uniform (convergence) spaces, Iranian J. of Fuzzy Systems 14 (2017), 67 – 82.
54 Ahsanullah, T.M.G. and Jäger, G.: Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups, Mathematica Slovaca 67 (2017), 985 – 1000.
55 Jäger, G.: Probabilistic approach spaces, Mathematica Bohemica 142 (2017), 277 – 298.
56 Jäger, G.: On stratified lattice-valued convergence spaces, Iranian J. of Fuzzy Systems 14 (2017), 149 – 164.
57 Ahsanullah, T.M.G. and Jäger, G.: Stratified LMN-convergence tower groups and their stratified LMN-uniform convergence tower structures, Fuzzy Sets and Systems 330 (2018), 105 – 123.
58 Jäger, G.: Quantale-valued generalizations of approach spaces: L-approach systems, Topology Proceedings 51 (2018), 253 – 276.
59 Jäger, G. and Yao, W.: Quantale-valued gauge spaces, Iranian J. of Fuzzy Systems 15 (1) (2018), 103 – 122.
60 Jäger, G. and Ahsanullah, T.M.G.: Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence, Applied General Topology 19(1) (2018), 129 – 144.
61 Ahsanullah, T.M.G. and Jäger, G.: Probabilistic convergence transformation groups, Mathematica Slovaca 68(6) (2018), 1447 – 1464.
62 Ahsanullah, T.M.G. and Jäger, G.: Quantale-valued generalizations of approach groups, New Math. and Nat. Comp. 15(1) (2019), 1 – 30.
63 Jäger, G. and Shi, F.-G.: (L,M)-fuzzy metric spaces and convergence, Matematicki Vesnik 71 (1-2) (2019), 31 – 44.
64 Jäger, G.: Quantale-valued uniform convergence towers for quantale-valued metric spaces, Hacettepe Journal of Mathematics and Statistics 48(5) (2019), 1443 – 1453.
65 Ahsanullah, T.M.G. and Jäger, G.: Quantale-valued uniformization of quantale-valued generalizations of approach groups, New Math. and Nat. Comp. 15(3) (2019), 517 – 538.
66 Jäger, G.: Quantale-valued generalizations of approach spaces and quantale-valued topological spaces, Quaestiones Mathematicae 42(10) (2019), 1313 – 1333.
67 Jäger, G.: The Wijsman structure of a quantale-valued metric space, Iranian J. of Fuzzy Systems 17(1) (2020), 171 – 184.
Begutachtete Artikel - Angewandte Wissenschaft
1 Jäger, G. and Benz, U.: Measures of classification accuracy based on fuzzy similarity, IEEE Trans. Geosci. & Remote Sensing 38 (2000), 1462 – 1467.    
2 Dimou, A. and Jäger, G.: A family of fuzzy edge detectors for SAR images, DLR internal report 551-4 / 2000, 114 pages, German Aerospace Centre DLR, Oberpfaffenhofen, Germany, 2000.    
3 Hellmann, M. and Jäger, G.: Fuzzy rule based classification of polarimetric SAR data, Aerospace Science and Technology 6 (2002), 217 – 232.    
4 Dastile, X., Jäger, G., Debba, P. and Cho, M.: Combining binary classifiers to improve tree species discrimination at leaf level, Annual Proceedings of the South African Statistical Association Conference, Congress 1 (2012), 67 – 74.    
Konferenzbeiträge
1 Jäger, G. and Benz, U.: Supervised fuzzy classification of SAR data using multiple sources, Proc. IGARSS 99, Hamburg, Germany 1999, 1603 – 1605.    
2 Hellmann, M., Jäger, G., Krätzschmar, E. and Habermayer, M.: Classification of fully polarimetric SAR-data using artificial neural networks and fuzzy algorithms, Proc. IGARSS 99, Hamburg, Germany 1999, 1995 – 1997.    
3 Benz, U. and Jäger, G.: Multichannel classification of SAR-images using fuzzy logic, Proc. 4th Int. Airborne Remote Sensing Conf./ 21st Canadian Symp. Remote Sensing, Vol. II, Ottawa, Canada 1999, 857 – 866.    
4 Jäger, G., Benz, U. and Scheiber, R.: Knowledge-based quality assessment and improvement of digital elevation models, Proc. Eusar 2000, Munich, Germany 2000, 335 – 338.    
5 Dimou, A., Jäger, G., Benz, U. and Makios, V.: A fuzzy edge detector for SAR-images, Proc. Eusar 2000, Munich, Germany 2000, 699 – 702.    
6 Benz, U., Fischer, J. and Jäger, G.: Image content dependent compression of polarimetric SAR data, Proc. IGARSS 2000, Honolulu, Hawaii 2000, 2645 – 2647.    
7 Dimou, A., Uzunoglu, N., Frangos, P., Jäger, G. and Benz, U.: Linear features detection in SAR images using fuzzy edge detection, Proc. NATO RTO set symposium on "space-based observation techniques" SBOT 2000, Samos, Greece 2000, RTO MP-61, 49/1 - 49/12.    
8 Hellmann, M., Jäger, G. and Pottier, E.: Fuzzy clustering and interpretation of fully polarimetric SAR data, Proc. IGARSS 2001, Sidney, Australia 2001, 2790 – 2792.    
9 Thiel, C., Grünler, S., Herold, M., Hochschild, V., Jäger, G. and Hellmann, M.: Interpretation and analysis of polarimetric L-band E-SAR-data for the derivation of hydrologic land surface parameters, Proc. IGARSS 2001, Sidney, Australia 2001.    
10 Dimou, A., Jäger, G., Frangos, P.: Adaptive edge enhancement in SAR images: training on the data vs. training on simulated data, Proc. International Conference on Image Processing (ICIP 2001), Thessaloniki, Greece, October 7-10, 2001, 493 – 496.    
11 Hellmann, M. and Jäger, G.: Soft computing approaches for classification of fully polarimetric SAR images, Proc. URSI 2002, Garmisch-Partenkirchen, Germany 2002.    
12 Hellmann, M. and Jäger, G.: Fuzzy rule based polarimetric SAR data classification, Proc. EUSAR 2002, Cologne, Germany 2002, 701 – 704.    
13 Dimou, A., Uzunoglu, N. and Jäger, G.: Adaptive edge enhancement in SAR images: Training on the data vs. training on simulated data, Proc. EUSAR 2002, Cologne, Germany 2002, 141 – 144.    
14 Baxter, J.S., Jäger, G. and Blatch, G.L.: Review of the implementation of codon usage bias in software utilised in the design of functional synthetic protein coding regions, (Poster presentation), abstract in: S. Hazelhurst and M. Ramsay, Eds. Proceedings of the First Southern African Bioinformatics Workshop (SABioinf 2007), Johannesburg, South Africa, January 2007 (ISBN 978-0-620-38113-0), 28 – 30.    
15 Dastile, X.., Jäger, G., Debba, P. and Cho, M.: Combining binary classifiers to improve tree species discrimination at leaf level,Proceedings of the 54th Annual Conference of the South African Statistical Association (SASA 2012), Port Elizabeth, South Africa 2012, (ISBN 978-1-86822-621-4), 67 – 74. (https://sites.google.com/site/sasaconference2012/)    
       
       
Konferenzvorträge
Feb. 1999 20th Linz Seminar on Fuzzy Set Theory, Topological and Algebraic Structures, Linz, Austria: Compactness in Function Spaces in Fuzzy Topology.
Oct. 1999 IGARSS 99, Hamburg, Germany: Supervised fuzzy classification of SAR imagesusing multiple sources.
May 2000 3rd European Conference on Synthetic Aperture Radar, Munich, Germany: Knowledge Based Quality Assessment and Improvement of Digital Elevation Models Derived from Interferometric SAR Data.
Sept. 2001 Mini Fuzzy Fest, Rhodes University, Grahamstown, South Africa: Fuzzy Properties in Fuzzy Topology.
June 2003 MN-Seminar, University of Applied Sciences Darmstadt, Germany: Interpretation of SAR-Images with Neuro-Fuzzy Methods.
Nov. 2006 49th Annual Conference of the South African Statistical Association. University of Stellenbosch, Stellenbosch, South Africa (with N. Ndebele): A comparison of different clustering algorithms and their use in image compression.
Jan. 2007 SABioinf 2007, Johannisburg, South Africa (with Baxter, J.S., Blatch, G.L.): Review of the implementation of codon usage bias in software utilised in the designof functional synthetic protein coding regions, (Poster presentation), abstract in: S. Hazelhurst and M. Ramsay, Eds. Proceedings of the First Southern African Bioinformatics Workshop (SABioinf 2007), Johannesburg, South Africa, 28-30 January 2007. ISBN 978-0-620-38113-0.
May 2007 Mathematics Seminar, Rhodes University, Grahamstown, South Africa: Uniform spaces and uniform convergence spaces.
Nov. 2007 50th Annual Conference of the South African Statistical Association, University of the Witwatersrand, South Africa: Clustering algorithms and their effect on edge preservation in image compression (with N. Ndebele).
Nov. 2007 50th Annual Conference of the South African Statistical Association, University of the Witwatersrand, South Africa: A comparison of feed-forward neural networks and support vector machines on a problem of protein secondary structure prediction (with L. Tsilo).
Nov. 2007 50th Annual Congress of the South African Mathematical Society, University of Cape Town, South Africa: Lattice-valued uniform convergence spaces – the case of enriched lattices (with A. Craig).
Nov. 2008 51st Annual Conference of the South African Statistical Association, University of Pretoria, South Africa (with J. Baxter): The effect of different protein sequence encoding schemes on the prediction of protein secondary structure.
Feb. 2009 Statistics Seminar, Rhodes University, Grahamstown, South Africa: Fuzzy Statistics.
May 2009 Biochemistry Seminar, Rhodes University, Grahamstown, South Africa: On some problems in predicting protein secondary structure with machine learning algorithms.
Nov. 2009 52nd Annual Congress of the South African Mathematical Society, University of Johannesburg, South Africa:Lattice-valued categories of lattice-valued convergence spaces.
Nov. 2009 52nd Annual Congress of the South African Mathematical Society, University of Johannesburg, South Africa: Characterization of lattice-valued topological spaces by convergence (with D. Orpen).
March 2010 Statistics Seminar, Rhodes University, Grahamstown, South Africa: Lifetime Analysis with Vague Data.
April 2010 Statistics Seminar, University of Stellenbosch, South Africa: Protein Secondary Structure Prediction: Comparison of Machine Learning algorithms and Encoding Schemes.
Nov. 2010 52nd Annual Conference of the South African Statistical Association, North West University (Potchefstrom), South Africa: The use of hyperspectral data for tree species discrimination: Combining binary classifiers (with X. Dastile and P. Debba).
Nov. 2011 53rd Annual Conference of the South African Statistical Association, CSIR (Pretoria), South Africa: Protein secondary structure prediction: An application of Bayesian adaptive regression trees (with Jeremy Baxter).
Dec. 2011 Joint Congress of the South African and American Mathematical Societies, NMMU (Port Elizabeth), South Africa: Gähler’s neighbourhood condition for lattice-valued convergence spaces and convergence approach spaces.
Nov. 2012 54th Annual Conference of the South African Statistical Association, NMMU (Port Elizabeth), South Africa: Combining binary classifiers to improve tree species discrimination at leaf level (with X. Dastile, P. Debba and M. Cho).
May 2014 Research seminar at Beijing Institute of Technology, School of Mathematics, China: A convergence theory for probabilistic metric spaces and a lattice-valued framework for it. Lecture at Hebei University, China: Topology and Convergence.
Nov. 2015 1st Pan Pacific International Conference on Topology and Applications (PPICTA), Minnan Normal University, Zhangzhou, China: Probabilistic approach spaces. Lecture at Hebei University, China: Metric spaces and approach spaces.
May 2017 2nd International Symposium on Fuzzy Topology and Related Topics, Beijing Institute of Technology, Beijing, China: Quantale-valued generalizations of approach spaces.
Aug. 2017 Workshop “Hidden Markov Models”, Research Unit in Bioinformatics, Rhodes University, Grahamstown, South Africa.
July 2018 2018 International Conference on Topology and its Applications, Nafpaktos, Greece: Quantale-valued uniform convergence towers for quantale-valued metric spaces.
June 2019 Research seminar at Beijing Institute of Technology, School of Mathematics, China: Quantale-valued uniform towers and quantale-valued uniform convergence towers for quantale-valued metric spaces. On Wijsman convergence in the hyperspace of closed sets of a quantale-valued metric space. Xi’an Conference on Topology and Applications, Xi’an Technological University, Xi’an, China: On Wijsman convergence in the hyperspace of closed sets of a quantale-valued metric space.
July 2019 34th Summer Conference on Topology and its Applications, Johannesburg, South Africa: Wijsman convergence in the hyperspace of closed sets of an L-ordered set.

Prof. Dr. rer. nat.
Gunther Jäger

Dekan

Tel:

+49 3831 45 6706

Raum:

314, Haus 19