April 2019
Intermediate to advanced
304 pages
7h 12m
English
Content preview from Fuzzy Set and Its Extension
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9Application of Fuzzy/Intuitionistic Fuzzy Set in Image Processing
9.1 Introduction
This chapter discusses the application of fuzzy set and intuitionistic fuzzy set theory in medical image processing. Different types of fuzzy membership functions, fuzzy operators, fuzzy measures, fuzzy integrals, and entropy that are discussed in the previous chapters are used in processing these images. Processing includes enhancement, segmentation, retrieval, clustering, and edge detection. These are very much important for medical image diagnosis when detection of abnormal lesions/tumor/hemorrhage or counting blood cells or computing thinness of any vessels or any other detection is required. In this chapter, both fuzzy and intuitionistic fuzzy set theories are used so that the readers can visualize the difference of the image results. After going through the details of fuzzy and intuitionistic fuzzy mathematics, readers are now aware that intuitionistic fuzzy set considers two uncertainties – membership and nonmembership degrees apart from fuzzy set theory where only membership degree is used. We know that medical images are not uniformly illuminated, so the image boundaries/regions are not properly visible. So, these images contain more uncertainties as compared to other images and in that case intuitionistic fuzzy set may be of great use as it considers more uncertainties. In the following section we will see the use of fuzzy/intuitionistic fuzzy set in medical image processing where ...
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