16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:A simplification of the neutrosophic sets. Neutrosophic logic and intuitionistic fuzzy sets

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Title of paper: A simplification of the neutrosophic sets. Neutrosophic logic and intuitionistic fuzzy sets
Kalin Georgiev
CLBME-BAS, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
k.georgievAt sign.pngclbme.bas.bg
Presented at: 9th ICIFS, Sofia, 7-8 May 2005
Published in: Conference proceedings, "Notes on IFS", Volume 11 (2005) Number 2, pages 28—31
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Abstract: This article explores some properties of the Neutrosophic logic and proposes a general simplification of the Neutrosophic Sets into a subclass of theirs, comprising of elements of R^{3}. The simplified variant is shown to preserve the properties of the Neutrosophic logic. The possibility to generalize Intuitionistic Fuzzy Sets with Neutrosophic Sets is also investigated.
Keywords: Neutrosophic sets, Neutrosophic logic, Intuitionistic fuzzy sets, Intuitionistic fuzzy logic
  1. Smarandache, F., Definition of neutrosophic logic – a generalization of intuitionistic fuzzy logic. Proc. of the Third Conf. of the European Society for Fuzzy Logic and Technology EUSFLAT' 2003, Zittau, 10-12 Sept. 2003, 141-146.
  2. Smarandache, F., Neutrosophic set – a generalization of intuitionistic fuzzy set (in press).
  3. Atanassov, K., T. Trifonov, Towards combining two constructions of intuitionistic fuzzy sets, see the present issue, 1-11.
  4. Atanassov, K., Intuitionistic Fuzzy Sets. Springer-Verlag, Heidelberg, 1999.

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