A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System
We propose a new Mamdani fuzzy rule-based system in which the fuzzy sets in the antecedents and consequents are assigned in a discrete set of points and approximated by using the extended inverse fuzzy transforms, whose components are calculated by verifying that the dataset is sufficiently dense wi...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/8458916 |
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| _version_ | 1849308555136466944 |
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| author | Ferdinando Di Martino Salvatore Sessa |
| author_facet | Ferdinando Di Martino Salvatore Sessa |
| author_sort | Ferdinando Di Martino |
| collection | DOAJ |
| description | We propose a new Mamdani fuzzy rule-based system in which the fuzzy sets in the antecedents and consequents are assigned in a discrete set of points and approximated by using the extended inverse fuzzy transforms, whose components are calculated by verifying that the dataset is sufficiently dense with respect to the uniform fuzzy partition. We test our system in the problem of spatial analysis consisting in the evaluation of the livability of residential housings in all the municipalities of the district of Naples (Italy). Comparisons are done with the results obtained by using trapezoidal fuzzy numbers in the fuzzy rules. |
| format | Article |
| id | doaj-art-028ae4e2b8d745e0a8707e46f04252d2 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-028ae4e2b8d745e0a8707e46f04252d22025-08-20T03:54:25ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/84589168458916A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based SystemFerdinando Di Martino0Salvatore Sessa1Università degli Studi di Napoli Federico II, Dipartimento di Architettura, Via Toledo 402, 80134 Napoli, ItalyUniversità degli Studi di Napoli Federico II, Dipartimento di Architettura, Via Toledo 402, 80134 Napoli, ItalyWe propose a new Mamdani fuzzy rule-based system in which the fuzzy sets in the antecedents and consequents are assigned in a discrete set of points and approximated by using the extended inverse fuzzy transforms, whose components are calculated by verifying that the dataset is sufficiently dense with respect to the uniform fuzzy partition. We test our system in the problem of spatial analysis consisting in the evaluation of the livability of residential housings in all the municipalities of the district of Naples (Italy). Comparisons are done with the results obtained by using trapezoidal fuzzy numbers in the fuzzy rules.http://dx.doi.org/10.1155/2018/8458916 |
| spellingShingle | Ferdinando Di Martino Salvatore Sessa A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System Advances in Fuzzy Systems |
| title | A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System |
| title_full | A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System |
| title_fullStr | A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System |
| title_full_unstemmed | A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System |
| title_short | A Method Based on Extended Fuzzy Transforms to Approximate Fuzzy Numbers in Mamdani Fuzzy Rule-Based System |
| title_sort | method based on extended fuzzy transforms to approximate fuzzy numbers in mamdani fuzzy rule based system |
| url | http://dx.doi.org/10.1155/2018/8458916 |
| work_keys_str_mv | AT ferdinandodimartino amethodbasedonextendedfuzzytransformstoapproximatefuzzynumbersinmamdanifuzzyrulebasedsystem AT salvatoresessa amethodbasedonextendedfuzzytransformstoapproximatefuzzynumbersinmamdanifuzzyrulebasedsystem AT ferdinandodimartino methodbasedonextendedfuzzytransformstoapproximatefuzzynumbersinmamdanifuzzyrulebasedsystem AT salvatoresessa methodbasedonextendedfuzzytransformstoapproximatefuzzynumbersinmamdanifuzzyrulebasedsystem |