On the Categories of Coalgebras, Dialgebras and Powerset Theory over L-Fuzzy Approximation Spaces

Sutapa Mahato, S. Tiwari

2023

Abstract

This paper is to establish a relationship between powerset theories and the category of dialgebras over the category of L-fuzzy approximation space, where L is a residuated lattice. Also, we show that the category FAS of L-fuzzy approximation spaces is a category of F-coalgebras. Interestingly, we introduce a functor having both the left/right adjoint from the category FAS to the category UAS of upper approximation sets. Further, the category J-Coal of J-coalgebras and the category (J,K)-Dial of (J;K)-dialgebras are introduced over the category FAS and it is shown that they are topological categories.

Paper Citation

in Harvard Style

Mahato S. and Tiwari S. (2023). On the Categories of Coalgebras, Dialgebras and Powerset Theory over L-Fuzzy Approximation Spaces. In Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA; ISBN 978-989-758-674-3, SciTePress, pages 348-358. DOI: 10.5220/0012182100003595

in Bibtex Style

@conference{fcta23,
author={Sutapa Mahato and S. Tiwari},
title={On the Categories of Coalgebras, Dialgebras and Powerset Theory over L-Fuzzy Approximation Spaces},
booktitle={Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA},
year={2023},
pages={348-358},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012182100003595},
isbn={978-989-758-674-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA
TI - On the Categories of Coalgebras, Dialgebras and Powerset Theory over L-Fuzzy Approximation Spaces
SN - 978-989-758-674-3
AU - Mahato S.
AU - Tiwari S.
PY - 2023
SP - 348
EP - 358
DO - 10.5220/0012182100003595
PB - SciTePress