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Similarity and Distance–Their Paths from Crisp to Fuzzy Concepts and an Application in Medical Philosophy

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Theoretical Advances and Applications of Fuzzy Logic and Soft Computing

Part of the book series: Advances in Soft Computing ((AINSC,volume 42))

Abstract

Similarity and distance are matters of degree for which we can find crisp and fuzzy concepts in the history of mathematics. In this paper we present Lotfi Zadeh’s and Karl Menger’s crisp concepts before the time of fuzzy sets. Finally we show an application in medical philosophy by Kazem Sadegh-Zadeh that extends into new theoretical research in the field of modern genetics.

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Oscar Castillo Patricia Melin Oscar Montiel Ross Roberto Sepúlveda Cruz Witold Pedrycz Janusz Kacprzyk

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Seising, R., Limberg, J. (2007). Similarity and Distance–Their Paths from Crisp to Fuzzy Concepts and an Application in Medical Philosophy. In: Castillo, O., Melin, P., Ross, O.M., Sepúlveda Cruz, R., Pedrycz, W., Kacprzyk, J. (eds) Theoretical Advances and Applications of Fuzzy Logic and Soft Computing. Advances in Soft Computing, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72434-6_25

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  • DOI: https://doi.org/10.1007/978-3-540-72434-6_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72433-9

  • Online ISBN: 978-3-540-72434-6

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