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Issue:A new intuitionistic fuzzy implication and the negation, conjunctions and disjunctions generated by it

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http://ifigenia.org/wiki/issue:nifs/29/1/46-55
Title of paper: A new intuitionistic fuzzy implication and the negation, conjunctions and disjunctions generated by it
Author(s):
Lilija Atanassova
Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 2, Sofia-1113, Bulgaria
l.c.atanassova@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 1, pages 46–55
DOI: https://doi.org/10.7546/nifs.2023.29.1.46-55
Download:  PDF (211  Kb, File info)
Abstract: A new – the 207-th – intuitionistic fuzzy implication is introduced over intuitionistic fuzzy sets. Over its basis, new intuitionistic fuzzy negation, conjunctions and disjunctions are constructed. For the first time, it is shown that all three conjunctions generated by the same implication coincide, whence their respective disjunctions are different. Some properties of the newly constructed operations are studied.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy operation, Intuitionistic fuzzy implication, Intuitionistic fuzzy conjunction, Intuitionistic fuzzy disjunction.
AMS Classification: 03E72.
References:
  1. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  2. Angelova, N., Atanassov, K., & Atanassova, V. (2022). Research on intuitionistic fuzzy implications. Part 2. Notes on Intuitionistic Fuzzy Sets, 28(2), 172–192.
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