Case base building with similarity relations

Sun, Zhaohao; Finnie, Gavin; Weber, Klaus H.

doi:10.1016/j.ins.2003.09.020

Cited by 22 publications

(23 citation statements)

References 22 publications

(45 reference statements)

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“…As an extension of similarity relations, fuzzy similarity relations were introduced by Zadeh [58]. This subsection will examine fuzzy similarity relations from a new viewpoint.…”

Section: Fuzzy Similarity Relationsmentioning

confidence: 99%

Abductive case-based reasoning

Sun

Finnie

Weber

2005

Int. J. Intell. Syst.

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This article will introduce abductive case-based reasoning (CBR) and attempt to show that abductive CBR and deductive CBR can be integrated in clinical process and problem solving. Then it provides a unified formalization for integration of abduction, abductive CBR, deduction and deductive CBR. This article also investigates abductive case retrieval and deductive case retrieval using similarity relations, fuzzy similarity relations and similarity metrics. The proposed approach demonstrates that the integration of deductive CBR and abductive CBR is of practical significance in problem solving such as system diagnosis and analysis, and will facilitate research of abductive CBR and deductive CBR. Abstract: This article will introduce abductive case-based reasoning (CBR) and attempt to show that abductive CBR and deductive CBR can be integrated in clinical process and problem solving. Then it provides a unified formalization for integration of abduction, abductive CBR, deduction and deductive CBR. This article also investigates abductive case retrieval and deductive case retrieval using similarity relations, fuzzy similarity relations and similarity metrics. The proposed approach demonstrates that the integration of deductive CBR and abductive CBR is of practical significance in problem solving such as system diagnosis and analysis, and will facilitate research of abductive CBR and deductive CBR.

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“…As an extension of similarity relations, fuzzy similarity relations were introduced by Zadeh [58]. This subsection will examine fuzzy similarity relations from a new viewpoint.…”

Section: Fuzzy Similarity Relationsmentioning

confidence: 99%

Abductive case-based reasoning

Sun

Finnie

Weber

2005

Int. J. Intell. Syst.

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“…24 In what follows, we will examine similarity relations, fuzzy similarity relations, and similarity metrics, which are all necessary for investigating CBR, and in particular, case base building and case retrieval. They are also fundamentally important for the further development of this work.…”

Section: Fundamentals Of Similarity and Metricsmentioning

confidence: 99%

“…24 More precisely: 19 This example implies that the concept of a similarity relation here is a generalization of the similarity between matrices in M n,n .…”

Section: Similarity Relationsmentioning

confidence: 99%

“…6,16,30 Fuzzy similarity relations have also been used in CBR, in particular in case base building 24 and case retrieval. 8,17 For the sake of brevity, we use standard fuzzy set theory notation for operations min and max, although there are many alternative choices for these operations available in fuzzy set theory.…”

Section: Fuzzy Similarity Relationsmentioning

confidence: 99%

“…However, we emphasize that transitivity is necessary in some cases in CBR, for example, in case base building, 24 because the first step for case base building is to use fuzzy similarity relations to partition the possible world of problems (for detail see Ref. 24).…”

Section: A More Explicit Form Of Equation 3 Ismentioning

confidence: 99%

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Similarity and metrics in case-based reasoning

Finnie

Sun

2002

Int. J. Intell. Syst.

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Similarity is a core concept in case-based reasoning (CBR), because case base building, case retrieval, and even case adaptation all use similarity or similarity-based reasoning. However, there is some confusion using similarity, similarity measures, and similarity metrics in CBR, in particular in domain-dependent CBR systems. This article attempts to resolve this confusion by providing a unified framework for similarity, similarity relations, similarity measures, and similarity metrics, and their relationship. This article also extends some of the well-known results in the theory of relations to similarity metrics. It appears that such extension may be of significance in case base building and case retrieval in CBR, as well as in various applied areas in which similarity plays an important role in system behavior.

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