Bijective Fuzzy Relations - A Graded Approach

Martina Daňková

2016

Abstract

The bijectivity is one of the crucial mathematical notions. In this paper, we will present a fuzzy bijective mapping as a fuzzy relation that has several special properties. These properties come with degrees and so the bijectivity is also graded property. We will focuse on properties of this type of relations and we show graded versions of theorems on fuzzy bijections that are known from the classical Fuzzy Set Theory.

Paper Citation

in Harvard Style

Daňková M. (2016). Bijective Fuzzy Relations - A Graded Approach . In Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016) ISBN 978-989-758-201-1, pages 42-50. DOI: 10.5220/0006053300420050

in Bibtex Style

@conference{fcta16,
author={Martina Daňková},
title={Bijective Fuzzy Relations - A Graded Approach},
booktitle={Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016)},
year={2016},
pages={42-50},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006053300420050},
isbn={978-989-758-201-1},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 2: FCTA, (IJCCI 2016)
TI - Bijective Fuzzy Relations - A Graded Approach
SN - 978-989-758-201-1
AU - Daňková M.
PY - 2016
SP - 42
EP - 50
DO - 10.5220/0006053300420050