Abstract
In this paper, modeling of logic gates is presented for the first time. Four models of Generalized Nets (GN)—AND gate, a binary to decimal decoder, delay type flip-flop, n-bit binary counter and logical circuits are presented in the following paper. Here we also suggest using the recently proposed approach of InterCriteria Analysis, based on index matrices and intuitionistic fuzzy sets, which aim to detect possible correlations between pairs of criteria. We can perform the measurements, if we have a set of several logical circuits that can be used to obtain identical output data. The aforementioned logical circuits must be composed of different logical elements. By using several measurement points and different schematics, we can suggest the best solution for the considered type of task.
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References
Atanassov, K.: Generalized Nets. World Scientific, Singapore (1991)
Atanassov, K.: On Generalized Nets Theory, Sofia, “Prof. M. Drinov”, Academic Publishing House, (2007)
Alexieva, J., Choy, E., Koycheva, E: Review and bibliography on generalized nets theory and applications. In: Choy, E., Krawczak, M., Shannon, A., Szmidt, E. (eds.) A Survey of Generalized Nets Raffles KvB Monograph, No. 10, pp. 207–301, (2007)
Atanassov, K.: Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham (2014)
Atanassov, K., Mavrov, D., Atanassova, V.: InterCriteria decision making. A new approach for multicriteria decision making, based on index matrices and intuitionistic fuzzy sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 11, 2014, pp. 1–8
Atanassova, V., Mavrov, D., Doukovska, L., Atanassov, K.: Discussion on the threshold values in the InterCriteria decision making approach. Notes on Intuitionistic Fuzzy Sets 20(2), 94–99 (2014)
Atanassova, V., Doukovska, L., Atanassov, K., Mavrov, D.: InterCriteria decision making approach to EU member states competitiveness analysis. In: Proceedings of the International Symposium on Business Modeling and Software Design—BMSD’14, pp. 289–294. Luxembourg, Grand Duchy of Luxembourg, 24–26 June 2014
Atanassov, K.: Intuitionistic fuzzy sets. In: Proceedings of VII ITKR’s Session, Sofia, June 1983 (in Bulgarian)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst Elsevier 20(1), 87–96 (1986)
Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg (1999)
Atanassov, K.: On Intuitionistic Fuzzy Sets Theory. Springer, Berlin (2012)
Zadeh, L.A.: Fuzzy Sets. Inf. Control 8, 333–353 (1965)
InterCriteria Research Portal, http://intercriteria.net/
Acknowledgements
The authors are grateful for the support provided by the National Science Fund of Bulgaria under grant DFNI-I-02-5/2014 and the Project NIH-355, 2015 of University “Prof. Asen Zlatarov”.
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Erbakanov, L., Kostadinov, T., Petkov, T., Sotirov, S., Bureva, V. (2016). Modeling Logic Gates and Circuits with Generalized Nets. In: Atanassov, K., et al. Novel Developments in Uncertainty Representation and Processing. Advances in Intelligent Systems and Computing, vol 401. Springer, Cham. https://doi.org/10.1007/978-3-319-26211-6_21
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DOI: https://doi.org/10.1007/978-3-319-26211-6_21
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