Abstract
The paper proposes a diagnostic method using possibility theory. According to possibility theory, fuzzy set A on a set of possible causes U, B on possible symptoms V, and a fuzzy relation R on UxV could be understood as possibility distributions πu(u)1, πv(v)1and a conditional possibility distribution πv|u(v 1|u 1, respectively. In this paper, we define diagnosis as a problem to obtain possibility that a given crisp subset of U is the causes of a crisp subset of V observed as symptoms. Possibility distribution πon U and conditional possibility distribution πv|Uvjπu i are given as a priori knowledge. Then, a way to solve the problem is discussed and proposed. We also discuss a conventional approach using probability, and designate the difficulties that it suffers from, but our approach does not.
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