A PRINCIPLE OF UNCERTAINTY AND INFORMATION INVARIANCE* |
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Authors: | GEORGE J KLIR |
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Affiliation: | Department of Systems Science , Thomas J. Watson School of Engineering, Applied Science and Technology, State University of New York at Binghamton , Binghamton, New York, 13901, U.S.A |
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Abstract: | The paper introduces a new principle, referred to as the principle of uncertainty and information invariance, for making transformations between different mathematical theories by which situations under uncertainty can be characterized. This principle requires that the amount of uncertainty (and related information) be preserved under these transformations. The principle is developed in sufficient details for transformations between probability theory and possibility theory under interval, log-interval and ordinal scales. Its broader use is discussed only in general terms and illustrated by an example. |
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Keywords: | Principle of uncertainty and information invariance uncertainty information possibility theory probability theory Dempster-Shafer theory transformation scales |
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