Kernel Principal Component Analysis in interval-valued Fermatean Environment and hip Prosthesis Material Selection


Kirişci M.

ICOMAAs (International Conference Series on Mathematical Advances and Applications), İstanbul, Turkey, 11 - 14 May 2022, vol.5, no.1, pp.1-6, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 5
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.1-6
  • Istanbul University-Cerrahpasa Affiliated: Yes

Abstract

This presentation offers the group decision-making problem related to the hip prosthesis material selection in an interval-valued Fermatean fuzzy environment. For hip prosthesis material selection problems, the advantage of interval-valued Fermatean fuzzy sets is that they can reasonably express the evaluation information given by decision-makers through both qualitative and quantitative aspects. However, if the dimension and nonlinear relationship of the decision data keep growing, the traditional decision‐making methods will fail. For nonlinear features, we construct the interval‐valued Frmatean fuzzy language kernel principal component analysis model to reduce the dimensionality. The proposed method will be used in material selection in distinct implementations, exclusively in biomedical applications where the prosthesis materials should have similar characteristics to human tissues. Since biomedical materials are used in various parts of the human body for many different purposes, in this study, material selection will be made using the method presented for the femoral component of the hip joint prosthesis for orthopedists and practitioners who will choose biomaterials.