On the knowledge structure of multi-solution variables, including quantified statements.

*(English)*Zbl 0639.68107This article is concerned with the development of a theory for reasoning about variables that can assume multiple solutions. The author discusses the representation of three types of canonical statements: affirmative, disfirmative, and quantified. Measures of surety and rebuff are introduced that measure, respectively, the degree to which one is sure that a value occurs and the degree to which one rebuffs its occurrence. By restricting a variable to one solution by way of a uniquely quantifying proposition, the author holds that it is possible to obtain the theory of possibility.

##### MSC:

68T99 | Artificial intelligence |

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\textit{R. R. Yager}, Int. J. Approx. Reasoning 1, No. 1, 23--70 (1987; Zbl 0639.68107)

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##### References:

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