Operations Research: Some Contributions to Mathematics

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Science  08 Dec 1972:
Vol. 178, Issue 4065, pp. 1061-1070
DOI: 10.1126/science.178.4065.1061


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.