Lattices of convex normal functions

@article{Harding2008LatticesOC,
  title={Lattices of convex normal functions},
  author={John Harding and Carol L. Walker and Elbert A. Walker},
  journal={Fuzzy Sets and Systems},
  year={2008},
  volume={159},
  pages={1061-1071}
}
The algebra of truth values of type-2 fuzzy sets is the set of all functions from the unit interval into itself, with operations defined in terms of certain convolutions of these functions with respect to pointwise max and min. This algebra has been studied rather extensively, both from a theoretical and from a practical point of view. It has a number of interesting subalgebras, and this paper is about the subalgebra of all convex normal functions, and closely related ones. These particular… CONTINUE READING
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