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First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics
December 1-3, 2001
University of New Mexico
Gallup, NM, USA

Organizers
Florentin Smarandache

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Dialethist Set
by
Florentin Smarandache
UNM

Definition of Dialethist Set:

<logic, mathematics> /di:-al-u-thist/ A set which has at least one element that also belongs to its complement.

A class of neutrosophic set which models a situation where the intersection of some disjoint sets is not empty. At least one element x(T, I, F) of a dialethist set M belongs at the same time to M and to the set C(M), which is the complement of M; here T, I, F are real standard or non-standard subsets, included in the non-standard unit interval ]-0, 1+[, representing truth, indeterminacy, and falsity percentages respectively.

Contrast with trivialist set.

Reference:

Florentin Smarandache, Ä Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, 1999.

http://www.gallup.unm.edu/~smarandache/Definitions-neutrosophics.htm

Date received: October 13, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagu-05.