A Method of Diagnosis Using Possibility Theory
نویسندگان
چکیده
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 U ́V could be understood as possibility distributions pU(ui), pV(vj) and a conditional possibility distribution pV1⁄2U(vj1⁄2ui), 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 pU(ui) on U and conditional possibility distribution pV1⁄2U(vj1⁄2ui) 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. Keyword : Diagnosis, Possibility theory, Conditional possibility distribution
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