Thomas Saaty

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Thomas Saaty

Thomas Lorie Saaty (born July 18, 1926 in Mosul , Iraq , † August 14, 2017 ) was an American mathematician . He is the inventor of the Analytical Hierarchical Process (AHP), a method for rational decision support for complex decision-making situations. He developed this method in the 1970s and generalized it in the Analytic Network Process (ANP) in the 1990s. The ANP supports complex decisions for problems with dependencies and feedback.

Life

Thomas L. Saaty lived in the USA from an early age. In the course of his studies, he acquired the following academic degrees:

  • BA, Columbia Union College, 1948.
  • MS in Physics, Catholic University of America, 1949.
  • MA in Mathematics, Yale University , 1951.
  • Post-graduate studies at the Université de Paris ( Sorbonne ) 1952–1953.
  • PhD, Mathematics, Yale University, 1953 (dissertation under the supervision of Einar Carl Hille : “On the Bessel Tricomi Equation”).

Before joining the University of Pittsburgh , Saaty was Professor of Statistics and Operations Research at the Wharton School , University of Pennsylvania (1969–1979). Prior to that, he worked for US government agencies and government sponsored corporate research for 15 years. Immediately after completing his studies, he worked for the Operations Evaluation Group at MIT . He later served as Head of Mathematical Research and Director of Advanced Planning for the Office of Naval Research and Scientific Liaison Officer at the US Embassy in London . From 1963 to 1969 he worked in mathematical research for the US State Department's arms control and disarmament negotiations at the Arms Control and Disarmament Agency in Washington, DC . From 1965 to 1967 he was Executive Director of the Conference Board of the Mathematical Sciences. He was a member of the International Institute for Strategic Studies in London.

Most recently, he was a full professor of mathematics at the University of Pittsburgh's Joseph M. Katz Graduate School of Business.

Research areas

Saaty has done a wide range of research and has published over 30 books and approx. 300 articles in the fields of mathematics, operations research and decision theory . He researched in particular in the areas of graph theory and its applications, nonlinear mathematics, game theory , in the area of ​​parametric linear optimization as well as in the areas of queuing theory and mathematical behavior theory. Further research areas touch arms control and disarmament issues, conflict resolution , urban planning , analytical planning and the like. v. a. m. Saaty was convinced that human evaluations and judgments in mathematical decision models can not always be mapped in Cartesian space ( Cartesian coordinate system ).

Prizes and awards

Fonts

Analytic hierarchy process (AHP)

  • 1980 The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation, ISBN 0-07-054371-2 , McGraw-Hill
  • 1982 Decision Making for Leaders: The Analytical Hierarchy Process for Decisions in a Complex World, ISBN 0-534-97959-9 , Wadsworth. 1988, paperback, ISBN 0-9620317-0-4 , RWS
  • 1982 The Logic of Priorities: Applications in Business, Energy, Health, and Transportation, with Luis G. Vargas, ISBN 0-89838-071-5 (hardcover) ISBN 0-89838-078-2 (paperback), Kluwer-Nijhoff
  • 1985 Analytical Planning: The Organization of Systems, with Kevin P. Kearns, ISBN 0-08-032599-8 , Pergamon
  • 1991 Prediction, Projection and Forecasting: Applications of the Analytic Hierarchy Process in Economics, Finance, Politics, Games and Sports, with Luis G. Vargas, ISBN 0-7923-9104-7 , Kluwer Academic
  • 1992 The Hierarchon: A Dictionary of Hierarchies, with Ernest H. Forman, ISBN 0-9620317-5-5 , RWS
  • 1994 Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process, ISBN 0-9620317-6-3 , RWS
  • 1994 Decision Making in Economic, Social and Technological Environments, with Luis G. Vargas, ISBN 0-9620317-7-1 , RWS
  • 1996 Volume III and IV of the Analytic Hierarchy Process series, ISBN 1-888603-07-0 RWS
  • 2001 Models, Methods, Concepts & Applications of the Analytic Hierarchy Process, with Luis G. Vargas, ISBN 0-7923-7267-0 , Kluwer Academic
  • 2007 Group Decision Making: Drawing Out and Reconciling Differences, with Kirti Peniwati, ISBN 1-888603-08-9 , RWS

Analytic network process (ANP)

  • 1996 Decision Making with Dependence and Feedback: The Analytic Network Process, ISBN 0-9620317-9-8 , RWS
  • 2005 Theory and Applications of the Analytic Network Process: Decision Making with Benefits, Opportunities, Costs and Risks, ISBN 1-888603-06-2 , RWS
  • 2005 The Encyclicon, A Dictionary of Decisions with Dependence and Feedback based on the Analytic Network Process, with Müjgan S. Özdemir, ISBN 1-888603-05-4 , RWS
  • 2006 Decision Making with the Analytic Network Process: Economic, Political, Social and Technological Applications with Benefits, Opportunities, Costs and Risks, with Luis G. Vargas, ISBN 0-387-33859-4 , Springer
  • 2008 The Encyclicon, Volume 2: A Dictionary of Complex Decisions using the Analytic Network Process, with Brady Cillo, ISBN 1-888603-09-7 , RWS

Neural network process (NNP)

  • 1999 The Brain: Unraveling the Mystery of How it Works, The Neural Network Process, ISBN 1-888603-02-X , RWS

Operations research

  • 1959 Mathematical Methods of Operations Research, (translated into Japanese and Russian), McGraw-Hill. 1988 Extended edition, ISBN 0-486-65703-5 , Dover (paperback)
  • 1961 Elements of Queing Theory with Applications, (translated into Russian, Spanish and German), McGraw-Hill

mathematics

  • 1964 Nonlinear Mathematics, with J. Bram, McGraw-Hill. 1981 Reprint as ISBN 0-486-64233-X , Dover (paperback)
  • 1964–1965 Lectures on Modern Mathematics, Volumes I, II, III (Thomas L. Saaty, editor), John Wiley (translated into Japanese)
  • 1965 Finite Graphs and Networks, with Robert George Busacker, (translated into Japanese, Russian, German, Hungarian), McGraw-Hill, German translation: Finite Graphs and Networks: An Introduction with Applications , Oldenbourg 1968
  • 1967 Modern Nonlinear Equations, no ISBN, McGraw-Hill. 1981, reprint as ISBN 0-486-64232-1 , Dover (paperback)
  • 1969 The Spirit and Uses of the Mathematical Sciences, (Thomas L. Saaty, FJ Weyl as editors), McGraw-Hill
  • 1970 Optimization in Integers and Related Extremal Problems, McGraw-Hill (translated into Russian)
  • 1977 The Four-Color Problem; Assaults and Conquest, ISBN 0-07-054382-8 , with Paul C. Kainen, McGraw-Hill. 1986 Revised edition, ISBN 0-486-65092-8 , Dover (paperback)
  • Thirteen colorful variations on Guthrie's four color conjecture , American Mathematical Monthly, Volume 79, 1972, pp. 2–43, online (won the Lester Randolph Ford Award in 1973 )

Applied Mathematics

  • 1968 Mathematical Models of Arms Control and Disarmament: Application of mathematical structures in politics. ISBN 978-0-471-74810-6 , Wiley, (translated into Russian)
  • 1973 Topics in Behavioral Mathematics, Mathematical Association of America
  • 1981 Thinking with Models: Mathematical Models in the Physical, Biological, and Social Sciences, with Joyce Alexander, ISBN 0-08-026475-1 , Pergamon
  • 1989 Conflict Resolution: The Analytic Hierachy Approach, with Joyce M. Alexander, ISBN 978-0-275-93229-9 , Praeger Pub

other areas

Individual evidence

  1. ↑ Ed Blazina: Obituary: Thomas L. Saaty / Developed groundbreaking process for making decisions. In: Pittsburgh Post-Gazette. August 20, 2017, accessed on August 21, 2017 .
personal data
SURNAME Saaty, Thomas
ALTERNATIVE NAMES Saaty, Thomas Lorie
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH July 18, 1926
PLACE OF BIRTH Mosul , Iraq
DATE OF DEATH August 14, 2017