Abstract
Formal-ontological frameworks such as mereology and mereotopology are increasingly applied in medical knowledge-based systems. But they are based on classical logic, and therefore, not useful in fuzzy environments. An attempt has been made in the present paper to conceive an approach to fuzzy formal ontology. The result is the core of a fuzzy mereology.
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References
Aristotle: The Metaphysics. Translated by Lawson-Tancred, H. Penguin Group, New York (1999)
Bittner, T., Donnelly, M.: Logical properties of foundational relations in bio-ontologies. Artificial Intelligence in Medicine 39, 197–216 (2007)
Carnap, R.: Introduction to Symbolic Logic and Its Applications. Dover Publications, New York (1954)
Casati, R., Varzi, A.C.: Parts and Places: The Structures of Spatial Representation. MIT Press, Cambridge (1999)
Clarke, B.L.: A calculus of individuals based on ”connection”. Notre Dame Journal of Formal Logic 22, 204–218 (1981)
Clarke, B.L.: Individuals and points. Notre Dame Journal of Formal Logic 26, 61–75 (1985)
Cohn, A.G., Varzi, A.C.: Mereotopological connection. Journal of Philosophical Logic 32, 357–390 (2003)
Donnelly, M., Bittner, T., Rosse, C.: A formal theory of spatial representation and reasoning in biomedical ontologies. Artificial Intelligence in Medicine 36, 1–27 (2006)
Goclenius, R.: Lexicon Philosophicum, quo tanquam clave Philosophiae fores aperiuntur. Musculus, Frankfurt am Main (1613)
Hovda, P.: What is classical mereology? Journal of Philosophical Logic 38, 55–82 (2009)
Husserl, E.: Logical Investigations. Two volumes. Routledge, London (2001); (First published in German. Max Niemeyer, Halle (1900-1901)
Kosko, B.: Neural Networks and Fuzzy Systems. A Dynamical Systems Approach to Machine Intelligence. Prentice Hall, Englewood Cliffs (1992)
Koslicki, K.: The Structure of Objects. Oxford University Press, Oxford (2008)
Lorhardus, J.: Ogdoas scholastica. Georgium Straub, Sangalli (St. Gallen) (1606)
Pontow, C., Rainer Schubert, R.: A mathematical analysis of theories of parthood. Data and Knowledge Engineering 59, 107–138 (2006)
Rickey, V.F., Srzednicki, J.T. (eds.): Lesniewski’s Systems: Ontology and Mereology. Springer, Heidelberg (1986)
Sadegh-Zadeh, K.: Handbook of Analytic Philosophy of Medicine. Springer, Dordrecht (2011)
Schulz, S., Hahn, U.: Part-whole representation and reasoning in formal biomedical ontologies. Artificial Intelligence in Medicine 34, 179–200 (2005)
Simons, P.M.: Parts: A Study in Ontology. Oxford University Press, New York (2000)
Whitehead, A.N.: Process and Reality. Macmillan, New York (1929)
Wolff, C.: Philosophia Prima sive Ontologia. Libraria Rengeriana, Frankfurt (1730)
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
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Sadegh-Zadeh, K. (2012). Fuzzy Formal Ontology. In: Seising, R., Sanz González, V. (eds) Soft Computing in Humanities and Social Sciences. Studies in Fuzziness and Soft Computing, vol 273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24672-2_20
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DOI: https://doi.org/10.1007/978-3-642-24672-2_20
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