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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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Trivialist Set
by
Florentin Smarandache
UNM

Definition of Trivialist Set:

<logic, mathematics> A set whose all elements also belong to its complement.

A class of neutrosophic set which models a situation where the intersection of all disjoint sets is not empty. All elements x(T, I, F) of a trivialist set M also belong 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 dialethist 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-06.