Kofler was born in Brzeżany, Austrian-Hungarian empire (now western Ukraine) and graduated as a disciple of among others Hugo Steinhaus and Stefan Banach from the University of Lwów Poland (now Ukraine) and the University of Cracow, having studied game theory. After graduation in 1939 Kofler returned to his family in Kolomyia (today Kolomea in Ukraine), where he taught mathematics in a Polish high school. After German attack on the town 1 July 1941 he succeeded to escape to Kazakhstan together with his wife. At Alma-Ata he managed a Polish school with orphanage in exile and worked there as mathematics teacher. After World War II ended he returned home with the orphanage. He was accompanied by his wife and their baby son. The family settled in Poland. From 1959 he accepted the position of lecturer at the University of Warsaw in the faculty of economics. In 1962 he gained a Ph.D. with his thesis Economic Decisions, Applying Game Theory. Then in 1962 he became assistant professor at the faculty of social science in the same university, specializing in econometrics.
In 1969 he migrated to Zürich, Switzerland, where he was employed at the Institute for Empirical Research in Economics at the University of Zürich and scientific advisor at the Swiss National Science Foundation (Schweizerische Nationalfonds zur Förderung der wissenschaftlichen Forschung). In Zürich in 1970 Kofler developed his linear partial information (LPI) theory allowing qualified decisions to be made on the basis of fuzzy logic: incomplete or fuzzy a prioriinformation.
E. Kofler, E. (2000). "Linear partial information with applications|". Fuzzy Sets and Systems. 118: 167–177. doi:10.1016/S0165-0114(99)00088-3.
E. Kofler & P. Zweifel, Edward; Zweifel, Peter (2005). "One-shot decisions under Linear Partial Information". Theory and Decision. 34: 1–20. doi:10.1007/BF01076102. S2CID 122536421.
A. Zimmermann, P. Zweifel, E. Kofler, A.; Zweifel, P.; Kofler, E. (2006). "Application of the linear partial information model to forecasting the Swiss timber market". Journal of Forecasting. 4 (4): 387–398. doi:10.1002/for.3980040407.{{cite journal}}: CS1 maint: multiple names: authors list (link)
M. Behara, E. Kofler and G. Menges, M.; Kofler, E.; Menges, G. (2008). "Entropy and informativity in decision situations under partial information". Statistische Hefte. 19 (2): 124. doi:10.1007/BF02932717. S2CID 123308910.
E. Kofler, Edward (2008). "Taking into account confidence measures in the valuation of statistical inferences". Statistische Hefte. 18 (2): 70–82. doi:10.1007/BF02932742. S2CID 118697488.
Bibliography
"Set theory Considerations on the Chess Game and the Theory of Corresponding Elements"- Mathematics Seminar at the University of Lviv, 1936
On the history of mathematics (Fejezetek a matematika történetéből) – book, 339 pages, Warsaw 1962 and Budapest 1965
From the digit to infinity – book, 312 pages, Warsaw 1960
Economic decisions and the theory of games – Dissertation, University of Warsaw 1961
Introduction to game theory – book, 230 pages, Warsaw 1962
Optimization of multiple goals, Przeglad Statystyczny, Warsaw 1965
The value of information – book, 104 pages, Warsaw 1967
(With H. Greniewski and N. Vorobiev) Strategy of games, book, 80 pages, Warsaw 1968
"Das Modell des Spiels in der wissenschaftlichen Planung" Mathematik und Wirtschaft No.7, East Berlin 1969
Entscheidungen bei teilweise bekannter Verteilung der Zustände, Zeitschrift für OR, Vol. 18/3, 1974
Konfidenzintervalle in Entscheidungen bei Ungewissheit, Stattliche Hefte, 1976/1
"Entscheidungen bei teilweise bekannter Verteilung der Zustande", Zeitschrift für OR, Bd. 18/3, 1974, S 141-157
"Konfidenzintervalle in Entscheidungen bei Ungewissheit", Statistische Hefte, 1976/1, S. 1-21
(With G. Menges) Entscheidungen bei unvollständiger Information, Springer Verlag, 1976
(With G. Menges) "Cognitive Decisions under Partial Information", in R.J. Bogdan (ed.), Local Induction, Reidel, Dordrecht-Holland, 1976
(With G. Menges) "Entscheidungen bei unvollständiger Information", volume 136 of Lecture Notes in Economics and Mathematical Systems. Springer, Berlin, 1976.
(With G. Menges) "Stochastic Linearisation of Indeterminateness" in Mathematical Economics and Game Theory, (Springer) Berlin-Heidelberg-New York City 1977, S. 20-63
(With G. Menges) "Die Strukturierung von Unbestimmtheiten und eine Verallgemeinerung des Axiomensystems von Kolmogoroff", Statistische Hefte 1977/4, S. 297-302
(With G. Menges) "Lineare partielle Information, fuzziness und Vielziele-Optimierung", Proceedings in Operations Research 8, Physica-Verlag 1979
(With Fahrion, R., Huschens, S., Kuß, U., and Menges, G.) "Stochastische partielle Information (SPI)", Statistische Hefte, Bd. 21, Jg. 1980, S. 160-167
"Fuzzy sets- oder LPI-Theorie?" in G. Menges, H. Schelbert, P. Zweifel (eds.), Stochastische Unschärfe in Wirtschaftswissenschaften, Haag & Herchen, Frankfurt-am-Main, 1981
(With P. Zweifel)"Decisions under Fuzzy State Distribution with Application to the dealt Risks of Nuclear Power", in Haag, W. (ed.), Large Scale Energy Systems, (Pergamon), Oxford 1981, S: 437-444
"Extensive Spiele bei unvollständiger Information", in Information in der Wirtschaft, Gesellschaft für Wirtschafts- und Sozialwissenschaften, Band 126, Berlin 1982
"Equilibrium Points, Stability and Regulation in Fuzzy Optimisation Systems under Linear Partial Stochastic Information (LPI)", Proceedings of the International Congress of Cybernetics and Systems, AFCET, Paris 1984, pp. 233–240
"Fuzzy Weighing in Multiple Objective Decision Making, G. Menges Contribution and Some New Developments", Beitrag zum Gedenkband G. Menges, Hrgb. Schneeweiss, H., Strecker H., Springer Verlag 1984
(With Z. W. Kmietowicz, and A. D. Pearman) "Decision making with Linear Partial Information (L.P.I.)". The Journal of the Operational Research Society, 35(12):1079-1090, 1984
(With P. Zweifel, A. Zimmermann) "Application of the Linear Partial Information (LPI) to forecasting the Swiss timber market" Journal of Forecasting 1985, v4(4),387-398
(With Peter Zweifel) "Exploiting linear partial information for optimal use of forecasts with an application to U.S. economic policy, International Journal of Forecasting, 1988
E. Kofler's work from 1989 "Forecasting and Stability under Fuzzy Information"
"Prognosen und Stabilität bei unvollständiger Information", Campus 1989
(With P. Zweifel) "Convolution of Fuzzy Distributions in Decision Making", Statistical Papers 32, Springer 1991, p. 123-136
(With P. Zweifel) "One-Shot Decisions under Linear Partial Information" Theory and Decision 34, 1993, p. 1-20
"Decision Making under Linear Partial Information". Proceedings of the European Congress EUFIT, Aachen, 1994, p. 891-896
(With P. Zweifel) "Linear Partial Information in One-Shot Decisions", Selecta Statistica Vol. IX, 1996
Mehrfache Zielsetzung in wirtschaftlichen Entscheidungen bei unscharfen Daten, Institut für Empirische Wirtschaftsforschung, 9602, 1996
"Linear Partial Information with Applications". Proceedings of ISFL 1997 (International Symposium on Fuzzy Logic), Zürich, 1997, p. 235-239
(With Thomas Kofler) "Forecasting Analysis of the Economic Growth", Selecta Statistica Canadiana, 1998
"Linear Partial Information with Applications in Fuzzy Sets and Systems", 1998. North-Holland
(With Thomas Kofler) Fuzzy Logic and Economic Decisions, 1998
(With L. Götte) "Fuzzy Systems and their Game Theoretical Solution", International Conference on Operations Research, ETH, Zürich, August 1998
"Forecasting and Optimal Strategies in Fuzzy Chess Situations ("Prognosen und Optimale Strategien in unscharfen Schachsituationen"), Idee & Form No. 70, 2001 Zürich, pp. 2065 & 2067
(With P. Zweifel) "One-shot decisions under Linear Partial Information" - Springer Netherlands, 2005
External links
Linear Partial Information (LPI) theory and its applications
Applying the Linear Partial Information (LPI) for USA's economy policy
Practical decision making with the Linear Partial Information (LPI)
"Stochastic programming applying fuzzy Linear Partial Information (LPI)". doi:10.1016/j.ejor.2003.10.049. {{cite journal}}: Cite journal requires |journal= (help)
One-shot decisions applying the Linear Partial Information (LPI)
August 23, 2023
edward, kofler, other, people, with, same, last, name, kofler, disambiguation, november, 1911, april, 2007, mathematician, made, important, contributions, game, theory, fuzzy, logic, working, theory, linear, partial, information, 1940born, 1911, november, 1911. For other people with the same last name see Kofler disambiguation Edward Kofler November 16 1911 April 22 2007 was a mathematician who made important contributions to game theory and fuzzy logic by working out the theory of linear partial information Edward KoflerEdward Kofler in 1940Born 1911 11 16 November 16 1911Brzezany Austria HungaryDiedApril 22 2007 2007 04 22 aged 95 Zurich SwitzerlandAlma materLwow UniversityUniversity of CracowKnown forDeveloping the linear partial information theory LPI Scientific careerFieldsMathematicsInstitutionsUniversity of WarsawUniversity of ZurichSwiss National Science Foundation Contents 1 Biography 2 See also 3 References 4 Bibliography 5 External linksBiography EditKofler was born in Brzezany Austrian Hungarian empire now western Ukraine and graduated as a disciple of among others Hugo Steinhaus and Stefan Banach from the University of Lwow Poland now Ukraine and the University of Cracow having studied game theory After graduation in 1939 Kofler returned to his family in Kolomyia today Kolomea in Ukraine where he taught mathematics in a Polish high school After German attack on the town 1 July 1941 he succeeded to escape to Kazakhstan together with his wife At Alma Ata he managed a Polish school with orphanage in exile and worked there as mathematics teacher After World War II ended he returned home with the orphanage He was accompanied by his wife and their baby son The family settled in Poland From 1959 he accepted the position of lecturer at the University of Warsaw in the faculty of economics In 1962 he gained a Ph D with his thesis Economic Decisions Applying Game Theory Then in 1962 he became assistant professor at the faculty of social science in the same university specializing in econometrics In 1969 he migrated to Zurich Switzerland where he was employed at the Institute for Empirical Research in Economics at the University of Zurich and scientific advisor at the Swiss National Science Foundation Schweizerische Nationalfonds zur Forderung der wissenschaftlichen Forschung In Zurich in 1970 Kofler developed his linear partial information LPI theory allowing qualified decisions to be made on the basis of fuzzy logic incomplete or fuzzy a priori information Kofler was visiting professor at the University of St Petersburg former Leningrad Russia University of Heidelberg Germany McMaster University Hamilton Ontario Canada and University of Leeds England He collaborated with many well known specialists in information theory such as Oskar R Lange in Poland Nicolai Vorobiev in the Soviet Union Gunter Menges in Germany and Heidi Schelbert and Peter Zweifel in Zurich He was the author of many books and articles He died in Zurich See also EditLinear partial information Fuzzy logic Game Theory Fuzzy set Decision making Stochastics Probability Information theory Lwow School of Mathematics List of Swiss peopleReferences EditE Kofler E 2000 Linear partial information with applications Fuzzy Sets and Systems 118 167 177 doi 10 1016 S0165 0114 99 00088 3 E Kofler amp P Zweifel Edward Zweifel Peter 2005 One shot decisions under Linear Partial Information Theory and Decision 34 1 20 doi 10 1007 BF01076102 S2CID 122536421 A Zimmermann P Zweifel E Kofler A Zweifel P Kofler E 2006 Application of the linear partial information model to forecasting the Swiss timber market Journal of Forecasting 4 4 387 398 doi 10 1002 for 3980040407 a href Template Cite journal html title Template Cite journal cite journal a CS1 maint multiple names authors list link M Behara E Kofler and G Menges M Kofler E Menges G 2008 Entropy and informativity in decision situations under partial information Statistische Hefte 19 2 124 doi 10 1007 BF02932717 S2CID 123308910 E Kofler Edward 2008 Taking into account confidence measures in the valuation of statistical inferences Statistische Hefte 18 2 70 82 doi 10 1007 BF02932742 S2CID 118697488 Bibliography Edit Set theory Considerations on the Chess Game and the Theory of Corresponding Elements Mathematics Seminar at the University of Lviv 1936 On the history of mathematics Fejezetek a matematika tortenetebol book 339 pages Warsaw 1962 and Budapest 1965 From the digit to infinity book 312 pages Warsaw 1960 Economic decisions and the theory of games Dissertation University of Warsaw 1961 Introduction to game theory book 230 pages Warsaw 1962 Optimization of multiple goals Przeglad Statystyczny Warsaw 1965 The value of information book 104 pages Warsaw 1967 With H Greniewski and N Vorobiev Strategy of games book 80 pages Warsaw 1968 Das Modell des Spiels in der wissenschaftlichen Planung Mathematik und Wirtschaft No 7 East Berlin 1969 Entscheidungen bei teilweise bekannter Verteilung der Zustande Zeitschrift fur OR Vol 18 3 1974 Konfidenzintervalle in Entscheidungen bei Ungewissheit Stattliche Hefte 1976 1 Entscheidungen bei teilweise bekannter Verteilung der Zustande Zeitschrift fur OR Bd 18 3 1974 S 141 157 Konfidenzintervalle in Entscheidungen bei Ungewissheit Statistische Hefte 1976 1 S 1 21 With G Menges Entscheidungen bei unvollstandiger Information Springer Verlag 1976 With G Menges Cognitive Decisions under Partial Information in R J Bogdan ed Local Induction Reidel Dordrecht Holland 1976 With G Menges Entscheidungen bei unvollstandiger Information volume 136 of Lecture Notes in Economics and Mathematical Systems Springer Berlin 1976 With G Menges Stochastic Linearisation of Indeterminateness in Mathematical Economics and Game Theory Springer Berlin Heidelberg New York City 1977 S 20 63 With G Menges Die Strukturierung von Unbestimmtheiten und eine Verallgemeinerung des Axiomensystems von Kolmogoroff Statistische Hefte 1977 4 S 297 302 With G Menges Lineare partielle Information fuzziness und Vielziele Optimierung Proceedings in Operations Research 8 Physica Verlag 1979 With Fahrion R Huschens S Kuss U and Menges G Stochastische partielle Information SPI Statistische Hefte Bd 21 Jg 1980 S 160 167 Fuzzy sets oder LPI Theorie in G Menges H Schelbert P Zweifel eds Stochastische Unscharfe in Wirtschaftswissenschaften Haag amp Herchen Frankfurt am Main 1981 With P Zweifel Decisions under Fuzzy State Distribution with Application to the dealt Risks of Nuclear Power in Haag W ed Large Scale Energy Systems Pergamon Oxford 1981 S 437 444 Extensive Spiele bei unvollstandiger Information in Information in der Wirtschaft Gesellschaft fur Wirtschafts und Sozialwissenschaften Band 126 Berlin 1982 Equilibrium Points Stability and Regulation in Fuzzy Optimisation Systems under Linear Partial Stochastic Information LPI Proceedings of the International Congress of Cybernetics and Systems AFCET Paris 1984 pp 233 240 Fuzzy Weighing in Multiple Objective Decision Making G Menges Contribution and Some New Developments Beitrag zum Gedenkband G Menges Hrgb Schneeweiss H Strecker H Springer Verlag 1984 With Z W Kmietowicz and A D Pearman Decision making with Linear Partial Information L P I The Journal of the Operational Research Society 35 12 1079 1090 1984 With P Zweifel A Zimmermann Application of the Linear Partial Information LPI to forecasting the Swiss timber market Journal of Forecasting 1985 v4 4 387 398 With Peter Zweifel Exploiting linear partial information for optimal use of forecasts with an application to U S economic policy International Journal of Forecasting 1988 E Kofler s work from 1989 Forecasting and Stability under Fuzzy Information Prognosen und Stabilitat bei unvollstandiger Information Campus 1989 With P Zweifel Convolution of Fuzzy Distributions in Decision Making Statistical Papers 32 Springer 1991 p 123 136 With P Zweifel One Shot Decisions under Linear Partial Information Theory and Decision 34 1993 p 1 20 Decision Making under Linear Partial Information Proceedings of the European Congress EUFIT Aachen 1994 p 891 896 With P Zweifel Linear Partial Information in One Shot Decisions Selecta Statistica Vol IX 1996 Mehrfache Zielsetzung in wirtschaftlichen Entscheidungen bei unscharfen Daten Institut fur Empirische Wirtschaftsforschung 9602 1996 Linear Partial Information with Applications Proceedings of ISFL 1997 International Symposium on Fuzzy Logic Zurich 1997 p 235 239 With Thomas Kofler Forecasting Analysis of the Economic Growth Selecta Statistica Canadiana 1998 Linear Partial Information with Applications in Fuzzy Sets and Systems 1998 North Holland With Thomas Kofler Fuzzy Logic and Economic Decisions 1998 With L Gotte Fuzzy Systems and their Game Theoretical Solution International Conference on Operations Research ETH Zurich August 1998 Forecasting and Optimal Strategies in Fuzzy Chess Situations Prognosen und Optimale Strategien in unscharfen Schachsituationen Idee amp Form No 70 2001 Zurich pp 2065 amp 2067 With P Zweifel One shot decisions under Linear Partial Information Springer Netherlands 2005External links EditHow to apply the Linear Partial Information LPI Linear Partial Information LPI theory and its applications Applying the Linear Partial Information LPI for USA s economy policy Practical decision making with the Linear Partial Information LPI Stochastic programming applying fuzzy Linear Partial Information LPI doi 10 1016 j ejor 2003 10 049 a href Template Cite journal html title Template Cite journal cite journal a Cite journal requires journal help One shot decisions applying the Linear Partial Information LPI Retrieved from https en wikipedia org w index php title Edward Kofler amp oldid 1133270086, wikipedia, wiki, book, books, library,
