Measure of Roughness for Rough Approximation of Fuzzy Sets and Its Topological Interpretation

Alexander Šostak

2014

Abstract

We define the measure of upper and the measure of lower rough approximation for L-fuzzy subsets of a set equipped with a reflexive transitive fuzzy relation R. In case when the relation R is also symmetric, these measures coincide and we call their value by the measure of roughness of rough approximation. Basic properties of such measures are studied. A realization of measures of rough approximation in terms of L-fuzzy topologies is presented.

Paper Citation

in Harvard Style

Šostak A. (2014). Measure of Roughness for Rough Approximation of Fuzzy Sets and Its Topological Interpretation . In Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2014) ISBN 978-989-758-053-6, pages 61-67. DOI: 10.5220/0005080400610067

in Bibtex Style

@conference{fcta14,
author={Alexander Šostak},
title={Measure of Roughness for Rough Approximation of Fuzzy Sets and Its Topological Interpretation},
booktitle={Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2014)},
year={2014},
pages={61-67},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005080400610067},
isbn={978-989-758-053-6},
}

in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2014)
TI - Measure of Roughness for Rough Approximation of Fuzzy Sets and Its Topological Interpretation
SN - 978-989-758-053-6
AU - Šostak A.
PY - 2014
SP - 61
EP - 67
DO - 10.5220/0005080400610067