Neutrosophic Set in Medical Image Analysis gives an understanding of the concepts of NS, along with knowledge on how to gather, interpret, analyze and handle medical images using NS methods. It presents the latest cutting-edge research that gives insight into neutrosophic set’s novel techniques, strategies and challenges, showing how it can be used in biomedical diagnoses systems. The neutrosophic set (NS), which is a generalization of fuzzy set, offers the prospect of overcoming the restrictions of fuzzy-based approaches to medical image analysis.
1. 1: Introduction to neutrosophy and neutrosophic environment - p. xvii 2. Abstract - p. 3 3. 1 Introduction - p. 3 4. 2 Preliminaries - p. 5 5. 3 Neutrosophic set - p. 7 6. 4 Single-valued neutrosophic overset/underset/offset - p. 9 7. 5 An interval-valued neutrosophic linguistic set - p. 12 8. 6 Linguistic neutrosophic set - p. 13 9. 7 Bipolar neutrosophic sets - p. 14 10. 8 Complex neutrosophic set - p. 14 11. 9 Bipolar complex NSs - p. 15 12. 10 An interval complex NS - p. 18 13. 11 An interval-valued bipolar neutrosophic set - p. 18 14. 12 Neutrosophic rough sets and their extensions - p. 18 15. 13 Neutrosophic cubic sets (Jun et al., 2017) - p. 23 16. 14 Plithogenic set - p. 26 17. 15 Conclusions - p. 27 18. 2: Advanced neutrosophic sets in Microscopic Image Analysis - p. 29 19. 3: Advanced neutrosophic set-based ultrasound image analysis - p. 50 20. Part II: Neutrosophic set in medical image denoising - p. 73 21. 4: Neutrosophic set in medical image denoising - p. 73 22. 5: Advanced optimization-based neutrosophic sets for medical image denoising - p. 100 23. 6: Neutrosophic set-based denoising of optical coherence tomography images - p. 121 24. Part III: Neutrosophic set in medical image clustering and segmentation - p. 142 25. 7: A survey on neutrosophic medical image segmentation - p. 142 26. 8: Neutrosophic set in medical image clustering - p. 165 27. 9: Optimization-based neutrosophic set for medical image processing - p. 187 28. 10: Neutrosophic hough transform for blood cells nuclei detection - p. 206 29. 11: Neutrosophic sets in dermoscopic medical image segmentation - p. 227 30. Part IV: Neutrosophic set in medical image classification - p. 243 31. 12: Neutrosophic similarity score-based entropy measure for focal and nonfocal electroencephalogram signal classification - p. 243 32. 13: Neutrosophic multiple deep convolutional neural network for skin dermoscopic image classification - p. 268 33. 14: Neutrosophic set-based deep learning in mammogram analysis - p. 285 34. Part V: Challenges and future directions in neutrosophic theory - p. 310 35. 15: Challenges and future directions in neutrosophic set-based medical image analysis - p. 310 36. Index - p. 345
Neutrosophic Set in Medical Image Analysis gives an understanding of the concepts of NS, along with knowledge on how to gather, interpret, analyze and handle medical images using NS methods. It presents the latest cutting-edge research that gives insight into neutrosophic set’s novel techniques, strategies and challenges, showing how it can be used in biomedical diagnoses systems. The neutrosophic set (NS), which is a generalization of fuzzy set, offers the prospect of overcoming the restrictions of fuzzy-based approaches to medical image analysis.
1. 1: Introduction to neutrosophy and neutrosophic environment - p. xvii 2. Abstract - p. 3 3. 1 Introduction - p. 3 4. 2 Preliminaries - p. 5 5. 3 Neutrosophic set - p. 7 6. 4 Single-valued neutrosophic overset/underset/offset - p. 9 7. 5 An interval-valued neutrosophic linguistic set - p. 12 8. 6 Linguistic neutrosophic set - p. 13 9. 7 Bipolar neutrosophic sets - p. 14 10. 8 Complex neutrosophic set - p. 14 11. 9 Bipolar complex NSs - p. 15 12. 10 An interval complex NS - p. 18 13. 11 An interval-valued bipolar neutrosophic set - p. 18 14. 12 Neutrosophic rough sets and their extensions - p. 18 15. 13 Neutrosophic cubic sets (Jun et al., 2017) - p. 23 16. 14 Plithogenic set - p. 26 17. 15 Conclusions - p. 27 18. 2: Advanced neutrosophic sets in Microscopic Image Analysis - p. 29 19. 3: Advanced neutrosophic set-based ultrasound image analysis - p. 50 20. Part II: Neutrosophic set in medical image denoising - p. 73 21. 4: Neutrosophic set in medical image denoising - p. 73 22. 5: Advanced optimization-based neutrosophic sets for medical image denoising - p. 100 23. 6: Neutrosophic set-based denoising of optical coherence tomography images - p. 121 24. Part III: Neutrosophic set in medical image clustering and segmentation - p. 142 25. 7: A survey on neutrosophic medical image segmentation - p. 142 26. 8: Neutrosophic set in medical image clustering - p. 165 27. 9: Optimization-based neutrosophic set for medical image processing - p. 187 28. 10: Neutrosophic hough transform for blood cells nuclei detection - p. 206 29. 11: Neutrosophic sets in dermoscopic medical image segmentation - p. 227 30. Part IV: Neutrosophic set in medical image classification - p. 243 31. 12: Neutrosophic similarity score-based entropy measure for focal and nonfocal electroencephalogram signal classification - p. 243 32. 13: Neutrosophic multiple deep convolutional neural network for skin dermoscopic image classification - p. 268 33. 14: Neutrosophic set-based deep learning in mammogram analysis - p. 285 34. Part V: Challenges and future directions in neutrosophic theory - p. 310 35. 15: Challenges and future directions in neutrosophic set-based medical image analysis - p. 310 36. Index - p. 345
