Interpretability in Fuzzy Systems Optimization: A Topological Approach

Ricardo de Aldama, Michael Aupetit

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

When dealing with complex problems, it is often the case that fuzzy systems must undergo an optimization process. During this process, the preservation of interpretability is a major concern. Here we present a new mathematical framework to analyze the notion of interpretability of a fuzzy partition, and a generic algorithm to preserve it. This approach is rather flexible and it helps to highly automatize the optimization process. Some tools come from the field of algebraic topology.

Original languageEnglish
Title of host publicationCommunications in Computer and Information Science
PublisherSpringer Verlag
Pages588-597
Number of pages10
Volume442 CCIS
EditionPART 1
ISBN (Print)9783319087948
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2014 - Montpellier
Duration: 15 Jul 201419 Jul 2014

Publication series

NameCommunications in Computer and Information Science
NumberPART 1
Volume442 CCIS
ISSN (Print)18650929

Other

Other15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2014
CityMontpellier
Period15/7/1419/7/14

Fingerprint

Fuzzy systems
Topology

Keywords

  • algebraic topology
  • fuzzy partition
  • fuzzy system
  • interpretability
  • optimization
  • tuning

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

de Aldama, R., & Aupetit, M. (2014). Interpretability in Fuzzy Systems Optimization: A Topological Approach. In Communications in Computer and Information Science (PART 1 ed., Vol. 442 CCIS, pp. 588-597). (Communications in Computer and Information Science; Vol. 442 CCIS, No. PART 1). Springer Verlag. https://doi.org/10.1007/978-3-319-08795-5_60

Interpretability in Fuzzy Systems Optimization : A Topological Approach. / de Aldama, Ricardo; Aupetit, Michael.

Communications in Computer and Information Science. Vol. 442 CCIS PART 1. ed. Springer Verlag, 2014. p. 588-597 (Communications in Computer and Information Science; Vol. 442 CCIS, No. PART 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

de Aldama, R & Aupetit, M 2014, Interpretability in Fuzzy Systems Optimization: A Topological Approach. in Communications in Computer and Information Science. PART 1 edn, vol. 442 CCIS, Communications in Computer and Information Science, no. PART 1, vol. 442 CCIS, Springer Verlag, pp. 588-597, 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems, IPMU 2014, Montpellier, 15/7/14. https://doi.org/10.1007/978-3-319-08795-5_60
de Aldama R, Aupetit M. Interpretability in Fuzzy Systems Optimization: A Topological Approach. In Communications in Computer and Information Science. PART 1 ed. Vol. 442 CCIS. Springer Verlag. 2014. p. 588-597. (Communications in Computer and Information Science; PART 1). https://doi.org/10.1007/978-3-319-08795-5_60
de Aldama, Ricardo ; Aupetit, Michael. / Interpretability in Fuzzy Systems Optimization : A Topological Approach. Communications in Computer and Information Science. Vol. 442 CCIS PART 1. ed. Springer Verlag, 2014. pp. 588-597 (Communications in Computer and Information Science; PART 1).
@inproceedings{1c986ed0ed5c4ec594a4b3904678341e,
title = "Interpretability in Fuzzy Systems Optimization: A Topological Approach",
abstract = "When dealing with complex problems, it is often the case that fuzzy systems must undergo an optimization process. During this process, the preservation of interpretability is a major concern. Here we present a new mathematical framework to analyze the notion of interpretability of a fuzzy partition, and a generic algorithm to preserve it. This approach is rather flexible and it helps to highly automatize the optimization process. Some tools come from the field of algebraic topology.",
keywords = "algebraic topology, fuzzy partition, fuzzy system, interpretability, optimization, tuning",
author = "{de Aldama}, Ricardo and Michael Aupetit",
year = "2014",
doi = "10.1007/978-3-319-08795-5_60",
language = "English",
isbn = "9783319087948",
volume = "442 CCIS",
series = "Communications in Computer and Information Science",
publisher = "Springer Verlag",
number = "PART 1",
pages = "588--597",
booktitle = "Communications in Computer and Information Science",
edition = "PART 1",

}

TY - GEN

T1 - Interpretability in Fuzzy Systems Optimization

T2 - A Topological Approach

AU - de Aldama, Ricardo

AU - Aupetit, Michael

PY - 2014

Y1 - 2014

N2 - When dealing with complex problems, it is often the case that fuzzy systems must undergo an optimization process. During this process, the preservation of interpretability is a major concern. Here we present a new mathematical framework to analyze the notion of interpretability of a fuzzy partition, and a generic algorithm to preserve it. This approach is rather flexible and it helps to highly automatize the optimization process. Some tools come from the field of algebraic topology.

AB - When dealing with complex problems, it is often the case that fuzzy systems must undergo an optimization process. During this process, the preservation of interpretability is a major concern. Here we present a new mathematical framework to analyze the notion of interpretability of a fuzzy partition, and a generic algorithm to preserve it. This approach is rather flexible and it helps to highly automatize the optimization process. Some tools come from the field of algebraic topology.

KW - algebraic topology

KW - fuzzy partition

KW - fuzzy system

KW - interpretability

KW - optimization

KW - tuning

UR - http://www.scopus.com/inward/record.url?scp=84904976934&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904976934&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-08795-5_60

DO - 10.1007/978-3-319-08795-5_60

M3 - Conference contribution

AN - SCOPUS:84904976934

SN - 9783319087948

VL - 442 CCIS

T3 - Communications in Computer and Information Science

SP - 588

EP - 597

BT - Communications in Computer and Information Science

PB - Springer Verlag

ER -