Neutrosophic logics: Prospects and problems

  • Authors:
  • Umberto Rivieccio

  • Affiliations:
  • Department of Philosophy, University of Genoa, Italy

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

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Abstract

Neutrosophy has been introduced some years ago by Florentin Smarandache as a new branch of philosophy dealing with ''the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra''. A variety of new theories have been developed on the basic principles of neutrosophy: among them is neutrosophic logics, a family of many-valued systems that can be regarded as a generalization of fuzzy logics. In this paper we present a critical introduction to neutrosophic logics, focusing on the problem of defining suitable neutrosophic propositional connectives and discussing the relationship between neutrosophic logics and other well-known frameworks for reasoning with uncertainty and vagueness, such as (intuitionistic and interval-valued) fuzzy systems and Belnap's logic.