| Title of paper:
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Extending OnlineGN with evaluation of intuitionistic fuzzy predicates
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| Author(s):
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Angel Ivanov Dimitriev  0009-0001-1412-7606
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Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria
Faculty of Mathematics and Informatics, Sofia University "St. Kliment Ohridski", Sofia, Bulgaria
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| adimitriev@fmi.uni-sofia.bg
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 325–332
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| DOI:
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https://doi.org/10.7546/nifs.2026.32.3.325-332
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| Download:
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 PDF (2836 Kb, File info)
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| Abstract:
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OnlineGN is a web-based environment for constructing and simulating Generalized Net (GN) models. This paper presents its support for intuitionistic fuzzy transition predicates. Rather than returning only a Boolean value, a predicate can be evaluated by separate degrees of validity and non-validity. OnlineGN interprets this pair using one of seven token-transfer conditions from the theory of intuitionistic fuzzy GNs. The evaluation condition is selected in the interface, so the same model can be simulated under different transfer rules without rewriting its predicates. The paper explains how intuitionistic fuzzy predicate evaluation is incorporated into the existing OnlineGN simulation process. A simple example with the evaluation ⟨0.4,0.4⟩ shows how strict and non-strict comparison conditions can lead to different token-transfer decisions. The accompanying figures illustrate the predicate configuration and simulation interface.
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| Keywords:
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Generalized nets, OnlineGN, Intuitionistic fuzzy predicates, Token transfer, Simulation.
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| AMS Classification:
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03E72, 68Q85.
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| References:
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- Atanassov, K. (1985). Generalized nets and their fuzzings. AMSE Review, 2(3), 39–49.
- Dimitriev, A. (2026). OnlineGN: Web-based Generalized Nets Simulator. Available online at: https://onlinegn.net/
- Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
- Atanassov, K. T. (1991). Generalized Nets. World Scientific, Singapore.
- Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing, Vol. 35. Physica-Verlag, Heidelberg.
- Atanassov, K., Dimitrov, D., & Atanassova, V. (2010). Algorithms for tokens transfer in different types of intuitionistic fuzzy generalized nets. Cybernetics and Information Technologies, 10(4), 22–35.
- Atanassov, K. T., & Nikolov, N. G. (2003). Intuitionistic fuzzy generalized nets: Definitions, properties, applications. In: Melo-Pinto, P., Teodorescu, H.-N., & T. Fukuda (Eds.). Systematic Organisation of Information in Fuzzy Systems, pp. 161–175. IOS Press, Amsterdam.
- Dimitriev, A., Atanassov, K., & Angelova, N. (2025). Parallel towers of Hanoi via generalized nets: Simulated with OnlineGN. Software, 4(4), Article ID 23.
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