Fuzzy clustering ensemble by optimization approach based on clustering reliability

Subject Areas : International Journal of Industrial Mathematics

Behrouz Minaei-Bidgoli ¹ , Ali Bagherinia ² , Mehdi Hossinzadeh ³ , Hamid Parvin ⁴

1 - Computer Engineering Department, Iran aUniversity of Science and Technology, Tehran, Iran
2 - Department of Computer Engineering, Science and Research Branch, ,Islamic Azad university, Tehran, Iran
3 - Iran University of Medical Sciences, Tehran, Iran Computer Science, University of Human Development, Sulaimaniyah, Iraq
4 - Department of Engineering, Mamasani Branch, ,Islamic Azad university, Mamasani, Iran

Received: 2019-07-26 Accepted : 2024-08-05 Published : 2024-09-21

Keywords: Fuzzy Clustering Ensemble, Fuzzy Clustering Reliability, Median Partition, Sequential Quadratic Programming,

Abstract :

In this paper, we convert the fuzzy clustering ensemble consensus function problem into an optimization problem based on the reliability-based co-association matrix that minimize distance between co-association matrix of final clustering and co-association matrix of base-clusterings in the ensemble. The optimization problem is a constrained nonlinear objective function and we solve it by sparse sequential quadratic programming (SSQP).