The complementary process of fuzzy medical diagnosis and its properties
type: Item
instance of: scholarly article
title: The complementary process of fuzzy medical diagnosis and its properties
zbMATH Open document ID: 0603.92001
DOI: 10.1016/0020-0255(86)90023-X
author: Shinji Umeyama
published in: Information Sciences
publication date: 1986-01-01T00:00:00Z
review text: Let S be a set of symptoms, D be a set of diagnoses (causes), P be a set of patients. Let Q, T be fuzzy relations on \(P\times S\), \(P\times D\), respectively. According to \textit{E. Sanchez}'s fuzzy diagnosis, see Fuzzy Sets Syst. 2, 75-86 (1979; Zbl 0399.03040), we have to construct a fuzzy relation R on \(S\times D\), which expresses the causality between symptoms and diagnoses by a suitable combination of Q and T. The author starts from negated symptoms S' and negated diagnoses D' and develops the fuzzy diagnosis for this case according to Sanchez's procedure. Properties of this so-called complementary diagnosis are studied.
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 3974786
zbMATH Keywords: medical diagnosis
zbMATH Keywords: negated propositions
zbMATH Keywords: fuzzy relations
zbMATH Keywords: fuzzy diagnosis
zbMATH Keywords: complementary diagnosis
MaRDI profile type: Publication
cites work: Fuzzy sets
cites work: Inverses of fuzzy relations. Application to possibility distributions and medical diagnosis
cites work: Q4740688
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description: scientific article; zbMATH DE number 3974786