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Issue:A new intuitionistic fuzzy extended modal operator: Difference between revisions

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Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = A new intuitionistic fuzzy extended modal operator | shortcut = nifs/31/1/9-14 }} {{issue/author | author = Krassimir Atanassov | institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical En..."
 
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  | format          = PDF
  | format          = PDF
  | size            = 176
  | size            = 176
  | abstract        = A new intuitionistic fuzzy extended modal operator from a first type is introduced and some of its properties are discussed. It is shown that it represents all existing to the moment intuitionistic fuzzy extended modal operator from a first type. Some open problems are formulated.   
  | abstract        = A new intuitionistic fuzzy extended modal operator from a first type is introduced and some of its properties are discussed. It is shown that it represents all hitherto existing intuitionistic fuzzy extended modal operators from a first type. Some open problems are formulated.   
  | keywords        = Intuitionistic fuzzy extended modal operator, Intuitionistic fuzzy set.
  | keywords        = Intuitionistic fuzzy extended modal operator, Intuitionistic fuzzy set.
  | ams            =  03E72.
  | ams            =  03E72.

Revision as of 12:46, 3 March 2025

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Title of paper: A new intuitionistic fuzzy extended modal operator
Author(s):
Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
krat@bas.bg
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1, pages 9–14
DOI: https://doi.org/10.7546/nifs.2025.31.1.9-14
Download:  PDF (176  Kb, File info)
Abstract: A new intuitionistic fuzzy extended modal operator from a first type is introduced and some of its properties are discussed. It is shown that it represents all hitherto existing intuitionistic fuzzy extended modal operators from a first type. Some open problems are formulated.
Keywords: Intuitionistic fuzzy extended modal operator, Intuitionistic fuzzy set.
AMS Classification: 03E72.
References:
  1. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg.
  2. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  3. Atanassov, K. (2015). A property of the intuitionistic fuzzy modal logic operator Xa,b,c,d,e,f. Notes on Intuitionistic Fuzzy Sets, 21(1), 1–5.
  4. Atanassov, K. (2017). New intuitionistic fuzzy extended modal operators. Notes on Intuitionistic Fuzzy Sets, 23(4), 40–45.
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