# CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY

In this paper, we studied about a detailed analysis of fuzzy ellipse. In the previously studies, some methods for fuzzy parabola are discussed (Ghosh and Chakraborty,2019). To define the fuzzy ellipse, it is necessary to modify the method applied for the fuzzy parabola. First, need to get five same points with the same membership grade to create crisp ellipse and the union of crisp ellipses passing through these points will form the fuzzy ellipse. Although it is difficult to determine the points with this property, it is important for constructing the fuzzy ellipse equation. In this study, we determine the points that satisfy this condition and prove the properties required to obtain the fuzzy ellipse to be formed by using these points. We have drawn a graph of a fuzzy ellipse and depicted the geometric location of fuzzy points with different membership grades on graph. We have also shown some geometric application on examples. In the third part of this study, it has been shown that the determinants defined in the calculation of the coefficients of the fuzzy ellipse can be calculated using the maple program for different points and angles with the examples given, thus different fuzzy ellipses can be obtained.
Keywords:

## Fuzzy ellipse, fuzzy points, membership function same fuzzy points, α- cuts,

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 Bibtex @araştırma makalesi { ikjm1200814, journal = {Ikonion Journal of Mathematics}, issn = {2687-6531}, address = {}, publisher = {Nihat AKGÜNEŞ}, year = {2023}, volume = {5}, number = {1}, pages = {20 - 38}, doi = {10.54286/ikjm.1200814}, title = {CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY}, key = {cite}, author = {Özekinci, Seçil and Aycan, Cansel} } APA Özekinci, S. & Aycan, C. (2023). CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY . Ikonion Journal of Mathematics , 5 (1) , 20-38 . DOI: 10.54286/ikjm.1200814 MLA Özekinci, S. , Aycan, C. "CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY" . Ikonion Journal of Mathematics 5 (2023 ): 20-38 < Chicago Özekinci, S. , Aycan, C. "CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY". Ikonion Journal of Mathematics 5 (2023 ): 20-38 RIS TY - JOUR T1 - CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY AU - SeçilÖzekinci, CanselAycan Y1 - 2023 PY - 2023 N1 - doi: 10.54286/ikjm.1200814 DO - 10.54286/ikjm.1200814 T2 - Ikonion Journal of Mathematics JF - Journal JO - JOR SP - 20 EP - 38 VL - 5 IS - 1 SN - 2687-6531- M3 - doi: 10.54286/ikjm.1200814 UR - Y2 - 2023 ER - EndNote %0 Ikonion Journal of Mathematics CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY %A Seçil Özekinci , Cansel Aycan %T CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY %D 2023 %J Ikonion Journal of Mathematics %P 2687-6531- %V 5 %N 1 %R doi: 10.54286/ikjm.1200814 %U 10.54286/ikjm.1200814 ISNAD Özekinci, Seçil , Aycan, Cansel . "CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY". Ikonion Journal of Mathematics 5 / 1 (Ağustos 2023): 20-38 . AMA Özekinci S. , Aycan C. CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY. ikjm. 2023; 5(1): 20-38. Vancouver Özekinci S. , Aycan C. CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY. Ikonion Journal of Mathematics. 2023; 5(1): 20-38. IEEE S. Özekinci ve C. Aycan , "CONSTRUCTING THE ELLİPSE AND ITS APPLICATIONS IN ANALYTICAL FUZZY PLANE GEOMETRY", , c. 5, sayı. 1, ss. 20-38, Ağu. 2023, doi:10.54286/ikjm.1200814
• ISSN: 2687-6531
• Yayın Aralığı: Yılda Yılda 2 Sayı
• Yayıncı: Nihat AKGÜNEŞ

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