Fuzzy set theory and interval mathematics were independently invented and developed in the mid 1960s as tools for a quantitative analysis of approximations to mathematically exact values, which may not be observable, representable or computable. We show that both approaches are covered by a general
An interpretation of focal elements as fuzzy sets
โ Scribed by Ewa Straszecka
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 246 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0884-8173
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โฆ Synopsis
This article proposes defining focal elements in the Dempster-Shafer theory as fuzzy sets in an application to medical diagnosis support. Membership functions for medical parameters of "fuzzy" nature are constructed. A diagnosis support consists of Bel measure calculation only for these focal elements that have membership function values grater than a "truth" threshold. Coherence between membership function shapes and the truth threshold is shown and a new way of membership function designing is proposed. An extension of the "truth" threshold for nonfuzzy focal elements is proposed that make a unification of symptoms interpretation during diagnosis support possible.
๐ SIMILAR VOLUMES
Previously in Part 1 of the present paper and its supplement an approach was made to an interpretation of membership functions as probability and a proposal of the probabilistic operators with dependence relation of the sets. This paper is an extension to three-valued and interval-valued fuzzy sets.