Fuzzification of set inclusion

Divyendu Sinha; Edward R. Dougherty

doi:10.1117/12.58593

1 March 1992 Fuzzification of set inclusion

Divyendu Sinha, Edward R. Dougherty

Proceedings Volume 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics; (1992) https://doi.org/10.1117/12.58593
Event: Aerospace Sensing, 1992, Orlando, FL, United States

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.

Citation Download Citation

Divyendu Sinha and Edward R. Dougherty "Fuzzification of set inclusion", Proc. SPIE 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics, (1 March 1992); https://doi.org/10.1117/12.58593

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