Bijective Fuzzy Relations - A Graded Approach

Martina Daňková

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Paper

Bijective Fuzzy Relations - A Graded Approach

Topics: Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic

In Proceedings of the 8th International Joint Conference on Computational Intelligence - Volume 0IJCCI, 42-50, 2016 , Porto, Portugal

Author: Martina Daňková

Affiliation: University of Ostrava, Czech Republic

Keyword(s): Fuzzy Relations, Fuzzy Functions, Partial Fuzzy Functions, Bijective Mappings, Fuzzy Class Theory.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

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.

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Paper citation in several formats:

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

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

TY - CONF

JO - Proceedings of the 8th International Joint Conference on Computational Intelligence (IJCCI 2016) - FCTA
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
PB - SciTePress