Machine modeling approach entails constructing dynamical prototypes explaining the performance of real networks from measurable data using analytical models and technologies. Using Fuzzy Logic (FL) necessitates a trade-off between interpretability and efficiency. According to essential theories and system identification techniques, achieving precise and also human-comprehensible FL plays is fundamental and plays a crucial role. Prior to the introduction of soft computing, however, FL model makers' primary priority was reliability, bringing the resultant FL nearer to black-box frameworks like neural networks. Fortunately, the Infinite-valued modelling scientific world has returned to its roots by exploring design strategies that address the interpretability and accuracy tradeoff. Because of their intrinsic versatility and capacity to examine several optimization criteria simultaneously, the application of evolutionary FL control has been greatly expanded. This paper is a study of the most typical evolutionary Infinite-valued technologies that use Mamdani Infinite-valued rule-based approaches to produce interpretable logical Fuzzy Rule-Based Systems (FRBSs), which are highly interpretable.
Keywords
Fuzzy Logic (FL), Fuzzy Rule-Based Systems (FRBSs), Fuzzy Systems (FS), Genetic Fuzzy System (GFS), Fuzzy Rule-Based Classification Systems (FRBCSs).
L.-H. Yang, F.-F. Ye, J. Liu, Y.-M. Wang, and H. Hu, “An improved fuzzy rule-based system using evidential reasoning and subtractive clustering for environmental investment prediction,” Fuzzy Sets and Systems, vol. 421, pp. 44–61, 2021.
A. M. Radzikowska and E. E. Kerre, “A comparative study of fuzzy rough sets,” Fuzzy Sets and Systems, vol. 126, no. 2, pp. 137–155, 2002.
F. M. M. Frattale, A. Mancini, A. Rizzi, M. Panella, and G. Martinelli, “Neurofuzzy Approximator based on Mamdani’s Model,” in Perspectives in Neural Computing, London: Springer London, 2002, pp. 23–59.
A. Du et al., “Assessing the adequacy of hemodialysis patients via the graph-based Takagi-Sugeno-Kang Fuzzy System,” Comput. Math. Methods Med., vol. 2021, p. 9036322, 2021.
P. Codara, O. M. D’Antona, and V. Marra, “The logical content of triangular bases of fuzzy sets in Łukasiewicz infinite-valued logic,” Fuzzy Sets and Systems, vol. 247, pp. 38–50, 2014.
V. A. Ainutdinov and K. S. Zaitsev, “Distribution of computer jobs in automatic control systems on the basis of infinite-valued logic,” Autom. Remote Control, vol. 65, no. 9, pp. 1496–1502, 2004.
S. Ghosh, A. Das, and D. K. Pratihar, “A new form of fuzzy reasoning tool to ensure both accuracy and readability,” in Advances in Intelligent Systems and Computing, Cham: Springer International Publishing, 2018, pp. 54–65.
E. H. Mamdani, “Fuzzy sets and applications: selected papers by L A Zadeh,” Knowl. Based Syst., vol. 1, no. 2, p. 121, 1988.
D. Gluschankof, “Prime deductive systems and injective objects in the algebras of?ukasiewicz infinite-valued calculi,” Algebra Universalis, vol. 29, no. 3, pp. 354–377, 1992.
M. Akram and A. Bashir, “Complex fuzzy ordered weighted quadratic averaging operators,” Granul. Comput., vol. 6, no. 3, pp. 523–538, 2021.
J. Valeiras-Jurado, “Genre‐specific persuasion in oral presentations: Adaptation to the audience through multimodal persuasive strategies,” Int. J. Appl. Linguist., vol. 30, no. 2, pp. 293–312, 2020.
V. Sem, “Interpretability of selected variables and performance comparison of variable selection methods in a polyethylene and polypropylene NIR classification task,” Spectrochim. Acta A Mol. Biomol. Spectrosc., vol. 258, no. 119850, p. 119850, 2021.
A. Farhadi, M. Hajiaghayi, K. G. Larsen, and E. Shi, “Lower bounds for external memory integer sorting via network coding,” SIAM j. comput., pp. STOC19-87-STOC19-111, 2021.
C. Castiello and C. Mencar, “Fine-tuning the fuzziness of strong fuzzy partitions through PSO,” Int. J. Comput. Intell. Syst., vol. 13, no. 1, p. 1415, 2020.
J. Bharatraj, “Interval valued intuitionistic fuzzy Gaussian membership function: A novel extension,” in Advances in Intelligent Systems and Computing, Cham: Springer International Publishing, 2021, pp. 372–380.
J. Burton and S. Linker, “Generating readable diagrammatic proofs,” in 2015 IEEE Symposium on Visual Languages and Human-Centric Computing (VL/HCC), 2015.
R. Alcalá, J. Alcalá-Fdez, M. J. Gacto, and F. Herrera, “Rule base reduction and genetic tuning of fuzzy systems based on the linguistic 3-tuples representation,” Soft Comput., vol. 11, no. 5, pp. 401–419, 2006.
H. Madokoro, S. Nix, and K. Sato, “Automatic calibration of piezoelectric bed-leaving sensor signals using genetic network programming algorithms,” Algorithms, vol. 14, no. 4, p. 117, 2021.
L. Du, Z. Cui, L. Wang, and J. Ma, “Structure tuning method on deep convolutional generative adversarial network with nondominated sorting genetic algorithm II,” Concurr. Comput., vol. 32, no. 14, 2020.
S. X. Zhang, W. S. Chan, Z. K. Peng, S. Y. Zheng, and K. S. Tang, “Selective-candidate framework with similarity selection rule for evolutionary optimization,” Swarm Evol. Comput., vol. 56, no. 100696, p. 100696, 2020.
Shen W. et al., “High-efficient gene targeting of goat mammary epithelium cell by the multi-selection mechanism,” Yi Chuan Xue Bao, vol. 32, no. 4, pp. 366–371, 2005.
“A theoretical linguistic fuzzy rule-based compartmental modeling for COVID-19 pandemic,” Int. J. Fuzzy Syst. Appl., vol. 11, no. 1, pp. 0–0, 2022.
T. da C. Asmus, J. A. A. Sanz, G. Pereira Dimuro, B. Bedregal, J. Fernandez, and H. Bustince, “N-dimensional admissibly ordered interval-valued overlap functions and its influence in interval-valued fuzzy rule-based classification systems,” IEEE Trans. Fuzzy Syst., pp. 1–1, 2021.
R. C. MacLean, A. R. Hall, G. G. Perron, and A. Buckling, “The population genetics of antibiotic resistance: integrating molecular mechanisms and treatment contexts,” Nat. Rev. Genet., vol. 11, no. 6, pp. 405–414, 2010.
S. M. Odeh, A. M. Mora, M. N. Moreno, and J. J. Merelo, “A hybrid fuzzy Genetic Algorithm for an adaptive traffic signal system,” Adv. Fuzzy Syst., vol. 2015, pp. 1–11, 2015.
M. Bodirsky, H. Chen, J. Kára, and T. von Oertzen, “Maximal infinite-valued constraint languages,” Theor. Comput. Sci., vol. 410, no. 18, pp. 1684–1693, 2009.
J.-P. Mei, Y. Wang, L. Chen, and C. Miao, “Large scale document categorization with fuzzy clustering,” IEEE Trans. Fuzzy Syst., vol. 25, no. 5, pp. 1239–1251, 2017.
A. Basak, “A memory optimized data structure for binary chromosomes in Genetic Algorithm,” arXiv [cs.NE], 2021.
F. Lei, G. Wei, and X. Chen, “Some self-evaluation models of enterprise’s credit based on some probabilistic double hierarchy linguistic aggregation operators,” J. Intell. Fuzzy Syst., vol. 40, no. 6, pp. 11809–11828, 2021.
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Judith Zilberman
Judith Zilberman
Faculty of Psychology, University of Lima, Santiago de Surco 15023, Peru.
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Judith Zilberman, “An Analysis of Evolutionary Methodology for Interpretable Logical Fuzzy Rule-Based Systems”, Journal of Biomedical and Sustainable Healthcare Applications, vol.3, no.1, pp. 066-075, January 2023. doi: 10.53759/0088/JBSHA202303007.