Pathology & Oncology Research

, Volume 25, Issue 2, pp 777–790 | Cite as

A Novel Approach of Mathematical Theory of Shape and Neuro-Fuzzy Based Diagnostic Analysis of Cervical Cancer

  • Subrata KarEmail author
  • Dwijesh Dutta Majumder
Original Article


This study aims to detect the abnormal growth of tissue in cervix region for diagnosis of cervical cancer using Pap test of patients. The proposed methodology classifies cervical cancer for pattern recognition either benign or malignant stages using shape and neuro-fuzzy based diagnostic model. In this experiment, firstly the authors segment Pap smear images of cervical cells using fuzzy c-means clustering algorithm and shape theory to classify them according to the presence of abnormality of the cells. Secondly the features extraction process is performed in the part of nucleus and cytoplasm on the squamous and glandular cells and the authors used input variables such as cytoplasm area (CA), cytoplasm circularity (CC), nucleus area (NA), nucleus circularity (NC), nucleus-cytoplasm ratio (NCR), and maximum nucleus brightness (MNB) in fuzzy tools and used fuzzy rules to evaluate the cervical cancer risk status as an output variable. The proposed neuro-fuzzy network system was developed for early detection of cervical cancer. A neural network was trained with 15-Pap image datasets where Levenberg–Marquardt(LM) a feed-forward back-propagation algorithm was used to get the status of the cervical cancer. Out of 15 samples database, 11 data set for training, 2 data set for validation and 2 data set for test were used in the ANN classification system. The presented fuzzy expert system(FES) successfully identified the presence of cervical cancer in the Pap smear images using the extracted features and the use of neuro-fuzzy system(NFS) for the identification of cervical cancer at the early stages and achieve a satisfactory performance with 100% accuracy.


Cervical cancer Pap smear images segmentation Features extraction Shape theory Neuro-fuzzy classification system 



We acknowledge with thanks the help and a cooperation we received from our colleges at Dumkal Institute of Engineering & Technology, Murshidabad, West Bengal, India and Indian Statistical Institute, Kolkata, India.


This study was funded by us.

Compliance with Ethical Standards

Conflict of Interest Statement

The authors declare that they have no conflict of interest.

Research Involving Human Participants and/or Animals

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Arányi Lajos Foundation 2019

Authors and Affiliations

  1. 1.Department of MathematicsDumkal Institute of Engineering & TechnologyMurshidabadIndia
  2. 2.Department of Electronics and Communication Sciences UnitIndian Statistical InstituteKolkataIndia

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