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Proceedings Paper

Fuzzification of set inclusion
Author(s): Divyendu Sinha; Edward R. Dougherty
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Paper Abstract

Fuzzification of set inclusion for fuzzy sets is developed in terms of an indicator for set inclusion, the indicator giving the degree to which a fuzzy set is a subset of another fuzzy set. In contrast to most existing indicators, it is proposed in the present paper that the indicator must be two-valued for crisp sets. The approach is to postulate axioms for the indicators, assume a specific mathematical form for such indicators, and then give necessary and sufficient conditions under which the specified formula gives rise to suitable indicator, in effect, providing a characterization of the indicator.

Paper Details

Date Published: 1 March 1992
PDF: 10 pages
Proc. SPIE 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics, (1 March 1992); doi: 10.1117/12.58593
Show Author Affiliations
Divyendu Sinha, CUNY/College of Staten Island (United States)
Edward R. Dougherty, Rochester Institute of Technology (United States)

Published in SPIE Proceedings Vol. 1708:
Applications of Artificial Intelligence X: Machine Vision and Robotics
Kevin W. Bowyer, Editor(s)

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