This article describes various fuzzy set theoretic tools and explores their effectiveness in representing/describing various uncertainties that might occur in an image recognition system and the ways these uncertainties can be managed in making a decision. Some examples of uncertainties that often develop in the process of recognizing a pattern are given in the next section. The Image Ambiguity and Uncertainty Measures Section provides a definition of image and describes various fuzzy set theoretic tools for measuring information on grayness ambiguity and spatial ambiguity in an image. Concepts of bound functions and spect sets charactering the flexible in membership functions are discussed in Their applications to formulate some low level vision operations (e.g., enhancement, segmentation, skeleton extraction, and edge detection), whose outputs are crucial and responsible for the overall performance of a vision system, are then presented. Some real‐life applications (e.g., motion frame analysis, character recognition, remote sensing image analysis, content‐based image retrieval, and brain MR image segmentation) of these methodologies and tools are then described. Finally, conclusions and discussion are provided.
Introduction
Uncertainties in a Recognition System and Relevance of Fuzzy Set Theory
Image Ambiguity and Uncertainty Measures
Grayness Ambiguity Measures
Flexibility in Membership Functions
Some Examples of Fuzzy Image Processing Operations
Some Applications
Conclusions and Discussion
Acknowledgment