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Showing papers by "Thomas L. Saaty published in 1972"


Journal ArticleDOI
TL;DR: In this article, the authors present thirteen colorful variations on the four-color conjecture, which they call "13 colorful variants on Guthrie's Four-Color Conjecture".
Abstract: (1972). Thirteen Colorful Variations on Guthrie's Four-Color Conjecture. The American Mathematical Monthly: Vol. 79, No. 1, pp. 2-43.

60 citations


Journal ArticleDOI
08 Dec 1972-Science
TL;DR: 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, particularly in the context of control theory.
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.

19 citations


Journal ArticleDOI
TL;DR: In this paper, the authors develop some ideas about how operations research and management science may increase their effective participation in high level governmental decision making, and make use of the components of the gross national product as an aid in measuring the potential for using operations research as a resource allocation tool.
Abstract: The crucial thrust of this report develops some ideas about how operations research and management science may increase their effective participation in high level governmental decision making. The opportunity confronting operations research to participate actively in charting the future of our society is one of the greatest opportunities offered to any field of science today. This report will consider the components of the gross national product as an aid in measuring the potential for using operations research as a resource allocation tool, will enumerate briefly on a few of the high level governmental operations research positions, and will consider the discipline in legislation and planning. Several recommendations conclude the report. Two main problems to be considered are the following: 1. What are these large scale issues to which OR can make a contribution? 2. From what organizational base can OR have the greatest impact---both on policy and its implementation?

5 citations