neutrosophic set

Computing Dictionary

neutrosophic set definition

logic
A generalisation of the intuitionistic set, classical set, fuzzy set, paraconsistent set, dialetheist set, paradoxist set, tautological set based on Neutrosophy. An element x(T, I, F) belongs to the set in the following way: it is t true in the set, i indeterminate in the set, and f false, where t, i, and f are real numbers taken from the sets T, I, and F with no restriction on T, I, F, nor on their sum n=t+i+f.
The neutrosophic set generalises:
- the intuitionistic set, which supports incomplete set theories (for 0- the fuzzy set (for n=100 and i=0, and 0- the classical set (for n=100 and i=0, with t,f either 0 or 100);
- the paraconsistent set (for n>100 and i=0, with both t,f- the dialetheist set, which says that the intersection of some disjoint sets is not empty (for t=f=100 and i=0; some paradoxist sets can be denoted this way).
(http://gallup.unm.edu/~smarandache/NeutSet.txt).
["Neutrosophy / Neutrosophic Probability, Set, and Logic", Florentin Smarandache, American Research Press, 1998].
(1999-12-14)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
Cite This Source
Explore Dictionary.com
Previous Definition: neutrosophic probability
Next Definition: neutrosophic statistics
Words Near: neutrosophic set
More from Thesaurus.com
Synonyms and Antonyms for neutrosophic set
More from Reference.com
Search for articles containing neutrosophic set
Dictionary.com Word FAQs

Dictionary.com presents 366 FAQs, incorporating some of the frequently asked questions from the past with newer queries.

Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature