Fuzzification of set inclusion Conference Paper uri icon

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.

name of conference

  • Applications of Artificial Intelligence X: Machine Vision and Robotics

published proceedings

  • Proceedings of SPIE

author list (cited authors)

  • Sinha, D., & Dougherty, E. R.

citation count

  • 6

complete list of authors

  • Sinha, Divyendu||Dougherty, Edward R

editor list (cited editors)

  • Bowyer, K. W.

publication date

  • March 1992