F-transforms determined by overlap and grouping maps over a complete lattice
Rings and Algebras
2023-01-31 v1 Logic
Abstract
This paper is about the study of F-transforms based on overlap and grouping maps, residual and co-residual implicator over complete lattice from both constructive and axiomatic approaches. Further, the duality, basic properties, and the inverse of proposed F-transforms have been studied, and axiomatic characterizations of proposed direct F-transforms are investigated.
Keywords
Cite
@article{arxiv.2301.12894,
title = {F-transforms determined by overlap and grouping maps over a complete lattice},
author = {Abha Tripathi and S. P. Tiwari and Sutapa Mahato},
journal= {arXiv preprint arXiv:2301.12894},
year = {2023}
}