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Similarity measurement of fuzzy entropies of respiratory sounds and risk measurement according to credibility distributions

  • Fuzzy systems and their mathematics
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Abstract

In this paper, we have provided some definitions and theorems about fuzzy set, fuzzy set operations, the uncertainty theory used in fuzzy environments, and the credibility theory which exists on the base of the mathematical knowledge. Then, the definition and applications of fuzzy set operations, fuzzification, defuzzification, similarity, credibility distribution were included in diagnostic medicine. Sounds of respiratory patients were transferred to computer by recording and converted into numerical data. In particular, the entropies, similarities, credibility.distributions., expected values of sounds were analyzed using fuzzification and defuzzification methods to analyze respiratory sound data via fuzzy operations and to make sense of uncertain sound data. As the uncertainty of respiratory sounds increased, changes in fuzzy entropy similarity measures and expected credibility values were observed. In addition, a model for uncertain respiratory sounds was created and numerical numbers supported the diagnosis of the physician. Sound data were analyzed and interpreted using fuzzy multipurpose decision methods. Respiratory sounds were shown to be an indicator in diagnosing with the created model.

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Authors and Affiliations

  1. Nevşehir Hacı Bektaş Veli University, Nevsehir, Turkey

    İbrahim Şanlıbaba

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  1. İbrahim Şanlıbaba
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Contributions

In this study, I would like to thank Uzeyir ÇİMEN for recording respiratory sounds, Haydar ÜNSAL for computer drawings, and Nevzat KALAY for English translation.

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Correspondence to İbrahim Şanlıbaba.

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I. Şanlıbaba declares that he has no conflict of interest.

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No Potential conflicts of interest and is an article with a single author. There are human data whose names are unknown. The data were created by giving numbers to people, respectively. Therefore, there is no need for any approval.

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Şanlıbaba, İ. Similarity measurement of fuzzy entropies of respiratory sounds and risk measurement according to credibility distributions. Soft Comput 26, 10007–10017 (2022). https://doi.org/10.1007/s00500-022-07415-y

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