Membership Functions for Fuzzy Focal Elements

The paper presents a study on data-driven diagnostic rules, which are easy to interpret by human experts. To this end, the Dempster-Shafer theory extended for fuzzy focal elements is used. Premises of the rules (fuzzy focal elements) are provided by membership functions which shapes are changing acc...

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Main Authors: Porębski Sebastian, Straszecka Ewa
Format: Article
Language:English
Published: Polish Academy of Sciences 2016-09-01
Series:Archives of Control Sciences
Subjects:
Online Access:http://www.degruyter.com/view/j/acsc.2016.26.issue-3/acsc-2016-0022/acsc-2016-0022.xml?format=INT
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author Porębski Sebastian
Straszecka Ewa
author_facet Porębski Sebastian
Straszecka Ewa
author_sort Porębski Sebastian
collection DOAJ
description The paper presents a study on data-driven diagnostic rules, which are easy to interpret by human experts. To this end, the Dempster-Shafer theory extended for fuzzy focal elements is used. Premises of the rules (fuzzy focal elements) are provided by membership functions which shapes are changing according to input symptoms. The main aim of the present study is to evaluate common membership function shapes and to introduce a rule elimination algorithm. Proposed methods are first illustrated with the popular Iris data set. Next experiments with five medical benchmark databases are performed. Results of the experiments show that various membership function shapes provide different inference efficiency but the extracted rule sets are close to each other. Thus indications for determining rules with possible heuristic interpretation can be formulated.
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spelling doaj.art-105e78a3e19a4fbb8eab19f0fd6b78f12022-12-22T02:04:49ZengPolish Academy of SciencesArchives of Control Sciences2300-26112016-09-0126339542710.1515/acsc-2016-0022acsc-2016-0022Membership Functions for Fuzzy Focal ElementsPorębski Sebastian0Straszecka Ewa1Institute of Electronics, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, ul. Akademicka 16, 44-100 Gliwice, PolandInstitute of Electronics, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, ul. Akademicka 16, 44-100 Gliwice, PolandThe paper presents a study on data-driven diagnostic rules, which are easy to interpret by human experts. To this end, the Dempster-Shafer theory extended for fuzzy focal elements is used. Premises of the rules (fuzzy focal elements) are provided by membership functions which shapes are changing according to input symptoms. The main aim of the present study is to evaluate common membership function shapes and to introduce a rule elimination algorithm. Proposed methods are first illustrated with the popular Iris data set. Next experiments with five medical benchmark databases are performed. Results of the experiments show that various membership function shapes provide different inference efficiency but the extracted rule sets are close to each other. Thus indications for determining rules with possible heuristic interpretation can be formulated.http://www.degruyter.com/view/j/acsc.2016.26.issue-3/acsc-2016-0022/acsc-2016-0022.xml?format=INTdiagnostic rule extractionmedical diagnosis supportfuzzy focal elementsmembership functionsDempster-Shafer theory
spellingShingle Porębski Sebastian
Straszecka Ewa
Membership Functions for Fuzzy Focal Elements
Archives of Control Sciences
diagnostic rule extraction
medical diagnosis support
fuzzy focal elements
membership functions
Dempster-Shafer theory
title Membership Functions for Fuzzy Focal Elements
title_full Membership Functions for Fuzzy Focal Elements
title_fullStr Membership Functions for Fuzzy Focal Elements
title_full_unstemmed Membership Functions for Fuzzy Focal Elements
title_short Membership Functions for Fuzzy Focal Elements
title_sort membership functions for fuzzy focal elements
topic diagnostic rule extraction
medical diagnosis support
fuzzy focal elements
membership functions
Dempster-Shafer theory
url http://www.degruyter.com/view/j/acsc.2016.26.issue-3/acsc-2016-0022/acsc-2016-0022.xml?format=INT
work_keys_str_mv AT porebskisebastian membershipfunctionsforfuzzyfocalelements
AT straszeckaewa membershipfunctionsforfuzzyfocalelements