On Neutrosophic Implications

In this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven.

Bibliographic Details
Main Authors: Said Broumi, Florentin Smarandache
Format: Article
Language:English
Published: University of New Mexico 2014-03-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.gallup.unm.edu/NSS/On%20Neutrosophic%20Implications.pdf
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spelling doaj-275ba49f4c2c438cb202a79f1ce2d8aa2020-11-25T01:36:32ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2014-03-012917On Neutrosophic Implications Said Broumi0Florentin Smarandache1 Hassan II University Mohammedia-Casablanca, Morocco University of New Mexico, USAIn this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven.http://fs.gallup.unm.edu/NSS/On%20Neutrosophic%20Implications.pdfNeutrosophic ImplicationNeutrosophic SetN-normN-conorm
collection DOAJ
language English
format Article
sources DOAJ
author Said Broumi
Florentin Smarandache
spellingShingle Said Broumi
Florentin Smarandache
On Neutrosophic Implications
Neutrosophic Sets and Systems
Neutrosophic Implication
Neutrosophic Set
N-norm
N-conorm
author_facet Said Broumi
Florentin Smarandache
author_sort Said Broumi
title On Neutrosophic Implications
title_short On Neutrosophic Implications
title_full On Neutrosophic Implications
title_fullStr On Neutrosophic Implications
title_full_unstemmed On Neutrosophic Implications
title_sort on neutrosophic implications
publisher University of New Mexico
series Neutrosophic Sets and Systems
issn 2331-6055
2331-608X
publishDate 2014-03-01
description In this paper, we firstly review the neutrosophic set, and then construct two new concepts called neutrosophic implication of type 1 and of type 2 for neutrosophic sets. Furthermore, some of their basic properties and some results associated with the two neutrosophic implications are proven.
topic Neutrosophic Implication
Neutrosophic Set
N-norm
N-conorm
url http://fs.gallup.unm.edu/NSS/On%20Neutrosophic%20Implications.pdf
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