AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONAL
Order fuzzy numbers are defined that make it possible to deal with fuzzy inputs quantitatively, exactly in the same way as with real numbers, together with four algebraic operations. An approximation formula is given for a defuzzyfication functional that plays the main role when dealing with fuzzy...
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| Format: | Article |
| Language: | English |
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Gdańsk University of Technology
2007-01-01
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| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2078 |
| _version_ | 1818270870873833472 |
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| author | WITOLD KOSIŃSKI URSZULA MARKOWSKA-KACZMAR |
| author_facet | WITOLD KOSIŃSKI URSZULA MARKOWSKA-KACZMAR |
| author_sort | WITOLD KOSIŃSKI |
| collection | DOAJ |
| description |
Order fuzzy numbers are defined that make it possible to deal with fuzzy inputs quantitatively, exactly in the same way as with real numbers, together with four algebraic operations. An approximation formula is given for a defuzzyfication functional that plays the main role when dealing with fuzzy controllers and fuzzy inference systems. A dedicated evolutionary algorithm is presented in order to determine the form of a functional when a training set is given. The form of a genotype composed of three types of chromosomes and the fitness function are given and Genetic operators are proposed.
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| first_indexed | 2024-12-12T21:17:09Z |
| format | Article |
| id | doaj.art-6f76be2be72a441a9a6272b0de9b3b46 |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-12-12T21:17:09Z |
| publishDate | 2007-01-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-6f76be2be72a441a9a6272b0de9b3b462022-12-22T00:11:42ZengGdańsk University of TechnologyTASK Quarterly1428-63942007-01-01111-2AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONALWITOLD KOSIŃSKI0URSZULA MARKOWSKA-KACZMAR1Polish-Japanese Institute of Information Technology Research Center; Kazimierz Wielki University in Bydgoszcz, Institute of Environmental Mechanics and Applied Computer ScienceWroclaw University of Technology, Institute of Applied Informatics Order fuzzy numbers are defined that make it possible to deal with fuzzy inputs quantitatively, exactly in the same way as with real numbers, together with four algebraic operations. An approximation formula is given for a defuzzyfication functional that plays the main role when dealing with fuzzy controllers and fuzzy inference systems. A dedicated evolutionary algorithm is presented in order to determine the form of a functional when a training set is given. The form of a genotype composed of three types of chromosomes and the fitness function are given and Genetic operators are proposed. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2078ordered fuzzy numbersdefuzzyficationgenetic algorithm |
| spellingShingle | WITOLD KOSIŃSKI URSZULA MARKOWSKA-KACZMAR AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONAL TASK Quarterly ordered fuzzy numbers defuzzyfication genetic algorithm |
| title | AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONAL |
| title_full | AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONAL |
| title_fullStr | AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONAL |
| title_full_unstemmed | AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONAL |
| title_short | AN EVOLUTIONARY ALGORITHM DETERMINING A DEFUZZYFICATION FUNCTIONAL |
| title_sort | evolutionary algorithm determining a defuzzyfication functional |
| topic | ordered fuzzy numbers defuzzyfication genetic algorithm |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2078 |
| work_keys_str_mv | AT witoldkosinski anevolutionaryalgorithmdeterminingadefuzzyficationfunctional AT urszulamarkowskakaczmar anevolutionaryalgorithmdeterminingadefuzzyficationfunctional AT witoldkosinski evolutionaryalgorithmdeterminingadefuzzyficationfunctional AT urszulamarkowskakaczmar evolutionaryalgorithmdeterminingadefuzzyficationfunctional |