A Fuzzy-valued Matching Index

Thomas Sudkamp; Valerie Cross

doi:10.1109/FUZZY.1996.552368

A Fuzzy-valued Matching Index

Thomas Sudkamp, Valerie Cross

Wright State University

Research output: Contribution to journal › Article › peer-review

Abstract

The properties of a fuzzy-valued index of the degree of matching of two fuzzy sets and its relationship to point-valued measures are examined. The fuzzy matching index is based on the Jaccard index applied to the level sets. Assessing the degree of matching using a fuzzy set produces a more comprehensive summarization of similarity than can be obtained using the standard point-valued indices. The fuzzy-valued index is shown to satisfy a generalization the criteria of Dubois and Prade for matching indices. The fuzzy set representation increases the range of criteria that can be specified and used as thresholds in applications that employ matching in selection or inference.

Original language	American English
Journal	Proceedings of IEEE 5th International Fuzzy Systems
DOIs	https://doi.org/10.1109/FUZZY.1996.552368
State	Published - Sep 1 1996

Keywords

Artificial intelligence
Fuzzy reasoning
Fuzzy sets
Pattern analysis
Pattern recognition
Performance evaluation

Disciplines

Computer Sciences
Engineering
Mathematics
Physical Sciences and Mathematics

Access to Document

10.1109/FUZZY.1996.552368License: Unspecified

http://ieeexplore.ieee.org/document/552368/

Cite this

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AB - The properties of a fuzzy-valued index of the degree of matching of two fuzzy sets and its relationship to point-valued measures are examined. The fuzzy matching index is based on the Jaccard index applied to the level sets. Assessing the degree of matching using a fuzzy set produces a more comprehensive summarization of similarity than can be obtained using the standard point-valued indices. The fuzzy-valued index is shown to satisfy a generalization the criteria of Dubois and Prade for matching indices. The fuzzy set representation increases the range of criteria that can be specified and used as thresholds in applications that employ matching in selection or inference.

KW - Artificial intelligence

KW - Fuzzy reasoning

KW - Fuzzy sets

KW - Pattern analysis

KW - Pattern recognition

KW - Performance evaluation

UR - https://corescholar.libraries.wright.edu/cse/440

UR - http://ieeexplore.ieee.org/document/552368/

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M3 - Article

JO - Proceedings of IEEE 5th International Fuzzy Systems

JF - Proceedings of IEEE 5th International Fuzzy Systems

ER -

A Fuzzy-valued Matching Index

Abstract

Keywords

Disciplines

Access to Document

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Cite this