Center of circles intersection, a new defuzzification method for fuzzy numbers
The article introduces a new proposal of a defuzzification method, which can be implemented in fuzzy controllers. The first chapter refers to the origin of fuzzy sets. Next, a modern development based on this theory is presented in the form of ordered fuzzy numbers (OFN). The most important characte...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2020-04-01
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| Series: | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/115177/PDF/02D_185-190_01346_Bpast.No.68-2_30.04.20_K4A_SS_TeX.pdf |
| _version_ | 1811343548105097216 |
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| author | H. Zarzycki W.T. Dobrosielski Ł. Apiecionek T. Vince |
| author_facet | H. Zarzycki W.T. Dobrosielski Ł. Apiecionek T. Vince |
| author_sort | H. Zarzycki |
| collection | DOAJ |
| description | The article introduces a new proposal of a defuzzification method, which can be implemented in fuzzy controllers. The first chapter refers to the origin of fuzzy sets. Next, a modern development based on this theory is presented in the form of ordered fuzzy numbers (OFN). The most important characteristics of ordered fuzzy numbers are also presented. In the following chapter, details about the defuzzification process are given as part of the fuzzy controller model. Then a new method of defuzzification is presented. The method is named center of circles intersection (CCI). The authors compare this method with a similar geometric solution: triangular expanding (TE) and geometric mean (GM). Also, the results are compared with other methods such as center of gravity (COG), first of maxima (FOM) and last of maxima (LOM). The analysis shows that the proposed solution works correctly and provides results for traditional fuzzy numbers as well as directed fuzzy numbers. The last chapter contains a summary, in which more detailed conclusions are provided and further directions of research are indicated. |
| first_indexed | 2024-04-13T19:30:53Z |
| format | Article |
| id | doaj.art-40c7523bee604906ad447327fa5f1899 |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-04-13T19:30:53Z |
| publishDate | 2020-04-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-40c7523bee604906ad447327fa5f18992022-12-22T02:33:10ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172020-04-0168No. 2 (i.a. Special Section on Computational Intelligence in Communications)185190https://doi.org/10.24425/bpasts.2020.131850Center of circles intersection, a new defuzzification method for fuzzy numbersH. ZarzyckiW.T. DobrosielskiŁ. ApiecionekT. VinceThe article introduces a new proposal of a defuzzification method, which can be implemented in fuzzy controllers. The first chapter refers to the origin of fuzzy sets. Next, a modern development based on this theory is presented in the form of ordered fuzzy numbers (OFN). The most important characteristics of ordered fuzzy numbers are also presented. In the following chapter, details about the defuzzification process are given as part of the fuzzy controller model. Then a new method of defuzzification is presented. The method is named center of circles intersection (CCI). The authors compare this method with a similar geometric solution: triangular expanding (TE) and geometric mean (GM). Also, the results are compared with other methods such as center of gravity (COG), first of maxima (FOM) and last of maxima (LOM). The analysis shows that the proposed solution works correctly and provides results for traditional fuzzy numbers as well as directed fuzzy numbers. The last chapter contains a summary, in which more detailed conclusions are provided and further directions of research are indicated.https://journals.pan.pl/Content/115177/PDF/02D_185-190_01346_Bpast.No.68-2_30.04.20_K4A_SS_TeX.pdfdefuzzificationfuzzy logicordered fuzzy numbers |
| spellingShingle | H. Zarzycki W.T. Dobrosielski Ł. Apiecionek T. Vince Center of circles intersection, a new defuzzification method for fuzzy numbers Bulletin of the Polish Academy of Sciences: Technical Sciences defuzzification fuzzy logic ordered fuzzy numbers |
| title | Center of circles intersection, a new defuzzification method for fuzzy numbers |
| title_full | Center of circles intersection, a new defuzzification method for fuzzy numbers |
| title_fullStr | Center of circles intersection, a new defuzzification method for fuzzy numbers |
| title_full_unstemmed | Center of circles intersection, a new defuzzification method for fuzzy numbers |
| title_short | Center of circles intersection, a new defuzzification method for fuzzy numbers |
| title_sort | center of circles intersection a new defuzzification method for fuzzy numbers |
| topic | defuzzification fuzzy logic ordered fuzzy numbers |
| url | https://journals.pan.pl/Content/115177/PDF/02D_185-190_01346_Bpast.No.68-2_30.04.20_K4A_SS_TeX.pdf |
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