Lattice-valued Overlap and Quasi-Overlap Functions
Logic in Computer Science
2019-02-04 v1
Abstract
Overlap functions were introduced as class of bivariate aggregation functions on [0, 1] to be applied in image processing. This paper has as main objective to present appropriates definitions of overlap functions considering the scope of lattices and introduced a more general definition, called of quasi-overlaps, which arise of abolishes the continuity condition. In addition, are investigated the main properties of (quasi-)overlaps on bounded lattices, namely, convex sum, migrativity, homogeneity, idempotency and cancellation law. Moreover, we make a characterization of Archimedian overlaps.
Cite
@article{arxiv.1902.00133,
title = {Lattice-valued Overlap and Quasi-Overlap Functions},
author = {Rui Paiva and Eduardo Palmeira and Regivan Santiago and Benjamin Bedregal},
journal= {arXiv preprint arXiv:1902.00133},
year = {2019}
}
Comments
35 pages, paper submitted to a journal