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

Alexander Šostak

Research.Publish.Connect.

*Please fill out at least one Field. *Value must be an number!

Title:
ISBN:
Year:
Acronym:
Subject:

Advanced Search Proceedings Search

If you're looking for an exact phrase use quotation marks on text fields.

*Please fill out at least one Field.

Title:
Author:
Affiliation:
Subject:

Advanced Search Papers Search

If you're looking for an exact phrase use quotation marks on text fields.

*Please fill out at least one Field.

Name:
Affiliation:
Country:
Conference:
Subject:

Advanced Search Authors Search

If you're looking for an exact phrase use quotation marks on text fields.

*Please fill out at least one Field.

Name:
Country:
Subject:

Advanced Search Affiliations Search

If you're looking for an exact phrase use quotation marks on text fields.

Proceedings

Proceedings Search *Please fill out at least one Field. *Value must be an number!

Title:
ISBN:
Year:
Acronym:
Subject:

Advanced Search Proceedings Search

If you're looking for an exact phrase use quotation marks on text fields.

Papers

Papers Search *Please fill out at least one Field.

Title:
Author:
Affiliation:
Subject:

Advanced Search Papers Search

If you're looking for an exact phrase use quotation marks on text fields.

Authors

Authors Search *Please fill out at least one Field.

Name:
Affiliation:
Country:
Conference:
Subject:

Advanced Search Authors Search

If you're looking for an exact phrase use quotation marks on text fields.

Advanced Search

Paper

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

Topics: Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic

In Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 0IJCCI, 61-67, 2014 , Rome, Italy

Author: Alexander Šostak

Affiliation: Institute of Mathematics and Computer Science of the University of Latvia, Latvia

Keyword(s): L-fuzzy Set, L-relation, L-fuzzy Rough Set, cl-monoid, Measure of Inclusion, L-fuzzy Topology, L-fuzzy Co-topology.

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

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.

CC BY-NC-ND 4.0

Guest: Register as new SciTePress user now for free.

SciTePress user: please login.

My Papers

You are not signed in, therefore limits apply to your IP address 18.218.38.125

In the current month:

Recent papers: 100 available of 100 total

2⁺ years older papers: 200 available of 200 total

Paper citation in several formats:

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 (IJCCI 2014) - FCTA; ISBN 978-989-758-053-6, SciTePress, pages 61-67. DOI: 10.5220/0005080400610067

@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 (IJCCI 2014) - FCTA},
year={2014},
pages={61-67},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005080400610067},
isbn={978-989-758-053-6},
}

TY - CONF

JO - Proceedings of the International Conference on Fuzzy Computation Theory and Applications (IJCCI 2014) - FCTA
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
PB - SciTePress