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Issue:Generalized nets with additional intuitionistic fuzzy conditions for tokens transfer

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Title of paper: Generalized nets with additional intuitionistic fuzzy conditions for tokens transfer
Author(s):
Dafina Zoteva
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. Georgi Bonchev Str., Sofia 1113, Bulgaria
dafy.zoteva@gmail.com
Eulalia Szmidt
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland
Warsaw School of Information Technology, ul. Newelska 6, 01–447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland
Warsaw School of Information Technology, ul. Newelska 6, 01–447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 2, pages 104–114
DOI: https://doi.org/10.7546/nifs.2019.25.2.104-114
Download:  PDF (178  Kb, File info)
Abstract: A new extension of the concept of generalized nets (GNs), namely GNs with additional intuitionistic fuzzy conditions, is presented in the present paper. The tokens, which are

the dynamic components of the net, are assigned with intuitioninstic fuzzy pairs, which are interpreted as degrees of membership and non-membership, and here indicate characteristic of tokens validly passing through a certain route. The new extension is proved to be a conservative extension of the class of the standard GNs, as its functioning and the results of its works can be described by standard GNs.

Keywords: Generalized nets, Extensions, Intuitioninstic fuzzy pairs.
AMS Classification: 03E72
References:
  1. Andonov, V. (2013). Intuitionistic fuzzy generalized nets with characteristics of the places of type 1 and type 3. Notes Intuitionistic Fuzzy Sets, 19 (3), 99–110.
  2. Atanassov, K. (1985). The Generalized nets and the other graphical means for modelling. AMSE Review, 2 (1), 59–64.
  3. Atanassov, K. (1987). Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, 40 (11), 15–18.
  4. Atanassov, K. (1991). Generalized Nets. Singapore, World Scientific.
  5. Atanassov, K. (2007). On Generalized Nets Theory’. “Prof. M. Drinov” Academic Publishing House, Sofia.
  6. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  7. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham.
  8. Atanassov, K. & Sotirova, E. (2017). Generalized Nets Theory. “Prof. M. Drinov” Academic Publishing House, Sofia (in Bulgarian).
  9. Atanassov, K., Szmidt, E. & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19 (3), 1–12.
  10. Atanassova, L., Gluhchev, G. & Atanassov, K. (2010). On intuitionistic fuzzy histograms. Notes in Intuitionistic Fuzzy Sets, 16 (4), 31–36.
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