Operations Research: Some Contributions to Mathematics: Applied mathematics gets a new surge of life from techniques of operations research

Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States

Publication date: Dec, 1972

Journal: Science
Vol.: 178- Issue: 4065- Pages: 1061-1071

Abstract: The discussion of fuzzy sets indicates that set theory should be extended to make it more suitable for the development of algebraic structures with wider applications. Stochastic optimization, a synthesis of the three areas of continuum mathematics, is a rapidly growing field particularly in the context of control theory. Applications of discrete mathematics have found a rich outlet in graph theory, particularly in the social sciences. However, there remains a wide gap between the sophisticated activities that are required for the development of optimum policies and the more difficult and intractable problems of organizational structures and performance.

Keywords: Fuzzy sets, Set theory, Stochastic optimization, Graph theory