Logistic entropy of bone mineral density at diabetes and nondiabetes and new type visualizations
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In the medicine, the reference intervals are obtained help of statistical methods. These intervals are evaluated by physicians according to their vocational knowledge and thus disease is identified. The reference intervals must be obtained accurately as they are the basis of the analysis of situation and treatment. Are your reference intervals correct for your patient or is it suitable for the detection of diseases or do medical chart records and reference intervals provide complete and accurate information about the diseases they represent? In this paper, the entropy values in the reference intervals were calculated for normal, partially degraded and full degraded bone mineral density of diabetic and nondiabetics patients and were given entropy images using by fuzzy sets and its entropy concept. Thus, we have measured entropies of reference intervals and given entropy images. Also, we have calculated entropy values for T and Z scores and it has been noticed that entropy values very high in some bone mineral intervals.
Abstract
In the medicine, the reference intervals are obtained help of statistical methods. These intervals are evaluated by physicians according to their vocational knowledge and thus disease is identified. The reference intervals must be obtained accurately as they are the basis of the analysis of situation and treatment. Are your reference intervals correct for your patient or is it suitable for the detection of diseases or do medical chart records and reference intervals provide complete and accurate information about the diseases they represent? In this paper, the entropy values in the reference intervals were calculated for normal, partially degraded and full degraded bone mineral density of diabetic and nondiabetics patients and were given entropy images using by fuzzy sets and its entropy concept. Thus, we have measured entropies of reference intervals and given entropy images. Also, we have calculated entropy values for T and Z scores and it has been noticed that entropy values very high in some bone mineral intervals.
참고문헌 (29)
- Kazem Sadegh-Zadeh, "Studies in fuzziness and soft computing" (2013), Springer-Verlag
- Bhagya Jyoti Nath, "Mathematical analysis of a within-host model of SARS-CoV-2", Advances in Difference Equations, 2021(1) (2021), Springer Science and Business Media LLC[DOI]
- Harendra Verma, "Effectiveness of lock down to curtail the spread of corona virus: A mathematical model", ISA Transactions, 124, pp.124~134 (2022), Elsevier BV[DOI]
- Lakshmi Narayan Mishra, "Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces", Yugoslav Journal of Operations Research, 32(3), pp.377~388 (2022), National Library of Serbia[DOI]
- M. K. Sharma, "Mediative Fuzzy Extension Technique and Its Consistent Measurement in the Decision Making of Medical Application", Mathematical Problems in Engineering, 2021, pp.1~9 (2021), Hindawi Limited[DOI]
- Nitesh Dhiman, "On Z-Intuitionistic Fuzzy Fractional Valuations for Medical Diagnosis: An Intuitionistic Fuzzy Knowledge-Based Expert System", Fractal and Fractional, 6(3), pp.151~ (2022), MDPI AG[DOI]
- E. Sanchez, "Resolution of Eigen fuzzy set equations", Fuzzy Sets and Systems, 1, pp.69~67 (1978)
- E. Sanchez, "Fuzzy sets and fuzzy relations", Journal of Mathematical Analysis and Applications, 81, pp.399~421 (1981)
- A. Bayes de Luna, "Textbook of Clinical Electrocardiography" (1987), Martin NijhoffPublishers
- C. Brady, "ECG in emergency medicine and Acute Care" (2005), Elsevier Inc
- G. M. Khan, "Rapid ECG Interpretation" (2003), Humana Press Inc
- S¸eng¨on¨ul, "The entropies of the sequences of fuzzy sets and applications of entropy to cardiography", International Journal of Mathematical Modelling & Computations, 06(02), pp.159~173 (2016)
- M. S¸eng¨on¨ul, "An Application of fuzzy sets to veterinary medicine", Theory and Applications of Mathematics & Computer Science, 6(1), pp.1~12 (2016)
- E. Czogala, "Entropy and energy measures of fuzziness ECG signal processing, Fuzzy Sytems in Medicine", Fuzzy Sets and Systems, 97, pp.9~18 (1998)
- L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
- Qiu-Ming Huang Tong, "Digital image resolution and entropy", of the Sixth International Conference on Machine Learning and Cybernetics (2007)
- Mamoni Dhar, "On Some Properties of Entropy of Fuzzy Numbers", International Journal of Intelligent Systems and Applications, 5(3), pp.66~73 (2013), MECS Publisher[DOI]
- X. Li, "Fuzzy entropy threshold to breast cancer detection", Inform. Sci, 4, pp.49~56 (1995)
- Wen-June Wang, "The entropy change of fuzzy numbers with arithmetic oper216 ations", Fuzzy Sets and Systems, 111, pp.357~366 (2000)
- A. de Luca, "A definiton of a nonprobabilistic entropy in the setting of fuzzy sets theory", Information and Control, 20, pp.301~312 (1972)
- Wen-June Wang, "The entropy change of fuzzy numbers with arithmetic operations", FSS, 111, pp.357~366 (2000)
- Wen-June Wang, "The entropy change of fuzzy numbers with arithmetic operations", FSS, 111, pp.357~366 (2000)[DOI]
- W. Pedrycz, "Why tringular membership functions", FFS, 64, pp.21~30 (1994)
- Asgar Ali Kalla, "Loss of trabacular bone mineral density in systemic lupus erythematosus", Arthritis-Rheumatism, 36(12), pp.1726~1734 (1993)
- Christian Booz, "Evaluation of bone mineral density of the lumbar spine using a novel phantomless dual-energy CT post-processing algorithm in comparison with dual-energy X-ray absorptiometry", European Radiology Experimental, 1(1), pp.11~ (2017), Springer Science and Business Media LLC[DOI]
- A. M. Kenny, "Determinants of Bone Density in Healthy Older Men With Low Testosterone Levels", The Journals of Gerontology Series A: Biological Sciences and Medical Sciences, 55(9), pp.M492~M497 (2000), Oxford University Press (OUP)[DOI]
- Priyanka R Siddapur, "Comparison of Bone Mineral Density, T-Scores and Serum Zinc between Diabetic and Non Diabetic Postmenopausal Women with Osteoporosis", Journal of Laboratory Physicians, 7(01), pp.043~048 (2015), Georg Thieme Verlag KG[DOI]
- Gita Shafiee, "The reference value of trabecular bone score (TBS) in the Iranian population", Journal of Diabetes & Metabolic Disorders, 19(1), pp.493~498 (2020), Springer Science and Business Media LLC[DOI]
- S. W. Wade, "Estimating prevalence of osteoporosis: examples from industrialized countries", Archives of Osteoporosis, 9(1), pp.182~ (2014), Springer Science and Business Media LLC[DOI]