8-9 October 2020 • Burgas, Bulgaria

Submission: 15 May 2020 • Notification: 31 May 2020 • Final Version: 15 June 2020

Issue:Generalized nets with places having intuitionistic fuzzy capacities

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Title of paper: Generalized nets with places having intuitionistic fuzzy capacities
Author(s):
Krassimir Atanassov
Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
kratAt sign.pngbas.bg
Vassia Atanassova
Dept. of Intelligent Systems, Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, 2 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
vassia.atanassovaAt sign.pnggmail.com
Panagiotis Chountas
HSCS, University of Westminster,, Northwick Park, HA1 3TP, London, UK
P.I.ChountasAt sign.pngwestminster.ac.uk
Anthony Shannon
Faculty of Engineering & IT, University of Technology, Sydney, NSW 2007, Australia
tshannon38At sign.pnggmail.comanthony.shannonAt sign.pnguts.edu.au
Presented at: 7th IWIFS, Banska Bystrica, 27 September 2011
Published in: Conference proceedings, "Notes on IFS", Volume 17 (2011) Number 4, pages 21—28
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Abstract: A new extemnsion of the Generalized Net (GN) called “Generalized nets with places, having intuitionistic fuzzy capacities” is introduced. Because this GN is the fifth type of Intuitionistic Fuzzy GNs, for brevity it is named also IFGN5. Algotithms for tokens transfers of the IFGN5s are given. It is proved a theorem, asserting that for each IFGN5 there exists a standard GN that describes the functioning and the results of its work.
Keywords: Generalized net, Intuitionistic fuzziness
AMS Classification: 68Q85
References:
  1. Atanassov K., Generalized Nets, World Scientific, Singapore, New Jersey, London, 1991.
  2. Atanassov, K., On Generalized Nets Theory. Prof. M. Drinov Publishing House, Sofia, 2007.
  3. Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg, 1999.
  4. Atanassov, K., D. Dimitrov, V. Atanassova, Algorithms for tokens transfer in different types of intuitionistic fuzzy generalized nets. Cybernetics and Information Technologies, Volume 10, No 4, 2010, 22–35.
  5. Dimitrov, D. Optimized algorithm for token transfer in generalized nets. In: Recent Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. 1, Warsaw, SRI PAS, 2010, pp. 63–68.
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