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A Neutrosophic Description Logic

Author

Listed:
  • HAIBIN WANG

    (Biostatistics Research and Informatics Core, Winship Cancer Institute, Atlanta, GA 30322, USA)

  • ANDRÉ ROGATKO

    (Biostatistics Research and Informatics Core, Winship Cancer Institute, Atlanta, GA 30322, USA)

  • FLORENTIN SMARANDACHE

    (Department of Mathematics and Science, University of New Mexico, Gallup, NM 87301, USA)

  • RAJSHEKHAR SUNDERRAMAN

    (Department of Computer Science, Georgia State University, Atlanta, GA 30303, USA)

Abstract

Description Logics (DLs) are appropriate, widely used, logics for managing structured knowledge. They allow reasoning about individuals and concepts, i.e. set of individuals with common properties. Typically, DLs are limited to dealing with crisp, well defined concepts. That is, concepts for which the problem whether an individual is an instance of it is a yes/no question. More often than not, the concepts encountered in the real world do not have a precisely defined criteria of membership: we may say that an individual is an instance of a concept only to a certain degree, depending on the individual's properties. The DLs that deal with such fuzzy concepts are called fuzzy DLs. In order to deal with fuzzy, incomplete, indeterminate and inconsistent concepts, we need to extend the capabilities of fuzzy DLs further.In this paper, we will present an extension of fuzzy$\mathcal{ALC}$, combining Smarandache's neutrosophic logic with a classical DL. In particular, concepts become neutrosophic (here neutrosophic means fuzzy, incomplete, indeterminate and inconsistent), thus, reasoning about such neutrosophic concepts is supported. We will define its syntax, its semantics, describe its properties and present a constraint propagation calculus for reasoning.

Suggested Citation

  • Haibin Wang & André Rogatko & Florentin Smarandache & Rajshekhar Sunderraman, 2008. "A Neutrosophic Description Logic," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 273-290.
    • Handle: RePEc:wsi:nmncxx:v:04:y:2008:i:03:n:s1793005708001100
    DOI: 10.1142/S1793005708001100
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