{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T19:59:35Z","timestamp":1771703975784,"version":"3.50.1"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,11,21]],"date-time":"2020-11-21T00:00:00Z","timestamp":1605916800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,11,21]],"date-time":"2020-11-21T00:00:00Z","timestamp":1605916800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Fuzzy Syst."],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s40815-020-00976-w","type":"journal-article","created":{"date-parts":[[2020,11,21]],"date-time":"2020-11-21T05:18:06Z","timestamp":1605935886000},"page":"42-57","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":88,"title":["Optimization of Type-2 Fuzzy Logic Controller Design Using the GSO and FA Algorithms"],"prefix":"10.1007","volume":"23","author":[{"given":"Emer","family":"Bernal","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marylu L.","family":"Lagunes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7385-5689","authenticated-orcid":false,"given":"Oscar","family":"Castillo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9","family":"Soria","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fevrier","family":"Valdez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,11,21]]},"reference":[{"key":"976_CR1","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338\u2013353 (1965)","journal-title":"Inf. Control"},{"key":"976_CR2","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1109\/2.53","volume":"21","author":"LA Zadeh","year":"1988","unstructured":"Zadeh, L.A.: Fuzzy logic. Computer 21, 83\u201393 (1988)","journal-title":"Computer"},{"issue":"2","key":"976_CR3","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1109\/91.493904","volume":"4","author":"LA Zadeh","year":"1996","unstructured":"Zadeh, L.A.: Fuzzy logic computing with words. IEEE Trans. Fuzzy Syst. 4(2), 103\u2013111 (1996)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"5","key":"976_CR4","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1109\/91.873577","volume":"8","author":"Q Liang","year":"2000","unstructured":"Liang, Q., Mendel, J.M.: Interval type-2 fuzzy logic systems: theory and design. IEEE Trans. Fuzzy Syst. 8(5), 535\u2013550 (2000)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"976_CR5","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2019.2930473","author":"Z Du","year":"2019","unstructured":"Du, Z., Kao, Y., Zhao, X.: An input delay approach to interval type-2 fuzzy exponential stabilization for nonlinear unreliable networked sampled-data control systems. IEEE Trans. Syst. Man Cybern. Syst. (2019). https:\/\/doi.org\/10.1109\/TSMC.2019.2930473","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"issue":"5","key":"976_CR6","doi-asserted-by":"publisher","first-page":"1480","DOI":"10.1007\/s40815-019-00640-y","volume":"21","author":"Z Qu","year":"2019","unstructured":"Qu, Z., Zhang, Z., Du, Z., Peng, M.: Interval type-2 fuzzy sampled-data optimal control for nonlinear systems with multiple conditions. Int. J. Fuzzy Syst. 21(5), 1480\u20131496 (2019)","journal-title":"Int. J. Fuzzy Syst."},{"issue":"1","key":"976_CR7","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/j.jfranklin.2019.09.035","volume":"357","author":"Z Du","year":"2020","unstructured":"Du, Z., Kao, Y., Park, J.H.: New results for sampled-data control of interval type-2 fuzzy nonlinear systems. J. Franklin Inst. 357(1), 121\u2013141 (2020)","journal-title":"J. Franklin Inst."},{"key":"976_CR8","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1016\/j.fss.2018.02.013","volume":"356","author":"Zhenbin Du","year":"2019","unstructured":"Du, Zhenbin, Yan, Zhenzheng, Zhao, Zhen: Interval type-2 fuzzy tracking control for nonlinear systems via sampled-data controller. Fuzzy Sets Syst. 356, 92\u2013112 (2019)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"976_CR9","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1016\/j.ins.2006.05.003","volume":"177","author":"JM Mendel","year":"2007","unstructured":"Mendel, J.M.: Advances in type-2 fuzzy sets and systems. Inf. Sci. 177(1), 84\u2013110 (2007)","journal-title":"Inf. Sci."},{"issue":"1","key":"976_CR10","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1109\/MCI.2007.357192","volume":"2","author":"H Hagras","year":"2007","unstructured":"Hagras, H.: Type-2 FLCs: a new generation of fuzzy controllers. IEEE Comput. Intell. Mag. 2(1), 30\u201343 (2007)","journal-title":"IEEE Comput. Intell. Mag."},{"key":"#cr-split#-976_CR11.1","doi-asserted-by":"crossref","unstructured":"Lagunes, M. L., Castillo, O., Soria, J.: Methodology for the optimization of a fuzzy controller using a bio-inspired algorithm. In: Proceedings of the North American Fuzzy Information Processing Society Annual Conference, Cancun, Mexico, 16 October 2017","DOI":"10.1007\/978-3-319-67137-6_14"},{"key":"#cr-split#-976_CR11.2","unstructured":"Springer, Cham, Switzerland, Vol. 648, pp. 131-137 (2018)"},{"key":"976_CR12","doi-asserted-by":"crossref","unstructured":"Lagunes, M.L., Castillo, O., Soria, J.: Optimization of membership function parameters for fuzzy controllers of an autonomous mobile robot using the firefly algorithm. In: Fuzzy Logic Augmentation of Neural and Optimization Algorithms: Theoretical Aspects and Real Applications. Springer, Berlin, Germany, pp. 199\u2013206 (2018)","DOI":"10.1007\/978-3-319-71008-2_16"},{"key":"976_CR13","doi-asserted-by":"crossref","unstructured":"Lagunes, M.L., Castillo, O., Valdez, F., Soria, J., Melin, P.: Parameter optimization for membership functions of type-2 fuzzy controllers for autonomous mobile robots using the firefly algorithm. In: Proceedings of the North American Fuzzy Information Processing Society Annual Conference, Cancun, Mexico, 16 October 2017; Springer, Berlin, Germany. IEEE, Piscataway, NJ, USA, pp. 569\u2013579 (2018)","DOI":"10.1007\/978-3-319-95312-0_50"},{"issue":"1","key":"976_CR14","doi-asserted-by":"publisher","first-page":"26","DOI":"10.3390\/axioms8010026","volume":"8","author":"E Bernal","year":"2019","unstructured":"Bernal, E., et al.: Optimization of fuzzy controller using galactic swarm optimization with type-2 fuzzy dynamic parameter adjustment. Axioms 8(1), 26 (2019)","journal-title":"Axioms"},{"key":"976_CR15","doi-asserted-by":"crossref","unstructured":"Bernal, E., Castillo, O., Soria, J., Valdez, F.: Fuzzy galactic swarm optimization with dynamic adjustment of parameters based on fuzzy logic. Metaheuristics. 1\u201319 (2018)","DOI":"10.1007\/s42257-018-0001-9"},{"key":"976_CR16","doi-asserted-by":"crossref","unstructured":"Wagner, C., Hagras, H.: A genetic algorithm based architecture for evolving type-2 fuzzy logic controllers for real world autonomous mobile robots. In: 2007 IEEE International Fuzzy Systems Conference. pp. 1\u20136 (2007)","DOI":"10.1109\/FUZZY.2007.4295364"},{"key":"976_CR17","first-page":"3","volume":"13","author":"L Astudillo","year":"2006","unstructured":"Astudillo, L., Castillo, O., Melin, P., Alanis, A., Soria, J., Aguilar, L.T.: Intelligent control of an autonomous mobile robot using type-2 fuzzy logic. Eng. Lett. 13, 3 (2006)","journal-title":"Eng. Lett."},{"issue":"8","key":"976_CR18","doi-asserted-by":"publisher","first-page":"829","DOI":"10.1016\/j.engappai.2005.12.011","volume":"19","author":"D Wu","year":"2006","unstructured":"Wu, D., Tan, W.W.: Genetic learning and performance evaluation of interval type-2 fuzzy logic controllers. Eng. Appl. Artif. Intell. 19(8), 829\u2013841 (2006)","journal-title":"Eng. Appl. Artif. Intell."},{"issue":"5","key":"976_CR19","doi-asserted-by":"publisher","first-page":"832","DOI":"10.1109\/TFUZZ.2012.2186818","volume":"20","author":"D Wu","year":"2012","unstructured":"Wu, D.: On the fundamental differences between interval type-2 and type-1 fuzzy logic controllers. IEEE Trans. Fuzzy Syst. 20(5), 832\u2013848 (2012)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"976_CR20","doi-asserted-by":"crossref","unstructured":"Wu, D., Tan, W.W.: A type-2 fuzzy logic controller for the liquid-level process. In: 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No. 04CH37542), 2, pp. 953\u2013958","DOI":"10.1109\/FUZZY.2004.1375536"},{"key":"976_CR21","volume-title":"Nature-inspired metaheuristic algorithms","author":"X-S Yang","year":"2010","unstructured":"Yang, X.-S.: Nature-inspired metaheuristic algorithms. Luniver Press, Beckington (2010)"},{"key":"976_CR22","doi-asserted-by":"crossref","unstructured":"Yang, X.-S.: Firefly algorithm, l\u00e9vy flights and global optimization. In: Research and Development in Intelligent Systems XXVI. Springer, London, UK, pp. 209\u2013218 (2010)","DOI":"10.1007\/978-1-84882-983-1_15"},{"key":"976_CR23","doi-asserted-by":"publisher","first-page":"771","DOI":"10.1016\/j.asoc.2015.10.034","volume":"38","author":"V Muthiah-Nakarajan","year":"2016","unstructured":"Muthiah-Nakarajan, V., Noel, M.M.: Galactic swarm optimization: a new global optimization metaheuristic inspired by galactic motion. Appl. Soft Comput. 38, 771\u2013787 (2016)","journal-title":"Appl. Soft Comput."},{"key":"976_CR24","doi-asserted-by":"crossref","unstructured":"Bernal, E., Castillo, O., Soria, J., Valdez, F., Melin, P.: A variant to the dynamic adaptation of parameters in galactic swarm optimization using a fuzzy logic augmentation. In: 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 1\u20137 (2018)","DOI":"10.1109\/FUZZ-IEEE.2018.8491623"},{"key":"976_CR25","first-page":"131","volume-title":"Galactic swarm optimization with adaptation of parameters using fuzzy logic for the optimization of mathematical functions","author":"E Bernal","year":"2018","unstructured":"Bernal, E., Castillo, O., Soria, J., Valdez, F.: Galactic swarm optimization with adaptation of parameters using fuzzy logic for the optimization of mathematical functions, pp. 131\u2013140. Springer, Cham (2018)"},{"key":"976_CR26","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1016\/j.ins.2018.10.025","volume":"476","author":"F Olivas","year":"2019","unstructured":"Olivas, F., Valdez, F., Melin, P., Sombra, A., Castillo, O.: Interval type-2 fuzzy logic for dynamic parameter adaptation in a modified gravitational search algorithm. Inf. Sci. 476, 159\u2013175 (2019)","journal-title":"Inf. Sci."},{"issue":"2","key":"976_CR27","doi-asserted-by":"publisher","first-page":"2625","DOI":"10.1016\/j.asoc.2010.10.010","volume":"11","author":"F Valdez","year":"2011","unstructured":"Valdez, F., Melin, P., Castillo, O.: An improved evolutionary method with fuzzy logic for combining particle swarm optimization and genetic algorithms. Appl. Soft Comput. 11(2), 2625\u20132632 (2011)","journal-title":"Appl. Soft Comput."},{"issue":"1","key":"976_CR28","doi-asserted-by":"publisher","first-page":"51","DOI":"10.5772\/54883","volume":"10","author":"O Castillo","year":"2013","unstructured":"Castillo, O., Neyoy, H., Soria, J., Garc\u00eda, M., Valdez, F.: Dynamic fuzzy logic parameter tuning for ACO and its application in the fuzzy logic control of an autonomous mobile robot. Int. J. Adv. Robot. Syst. 10(1), 51 (2013)","journal-title":"Int. J. Adv. Robot. Syst."},{"issue":"9","key":"976_CR29","doi-asserted-by":"publisher","first-page":"1458","DOI":"10.3390\/s16091458","volume":"16","author":"L Amador-Angulo","year":"2016","unstructured":"Amador-Angulo, L., et al.: Fuzzy sets in dynamic adaptation of parameters of a bee colony optimization for controlling the trajectory of an autonomous mobile robot. Sensors 16(9), 1458 (2016)","journal-title":"Sensors"},{"key":"976_CR30","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/j.robot.2014.07.002","volume":"64","author":"MA Hossain","year":"2015","unstructured":"Hossain, M.A., Ferdous, I.: Autonomous robot path planning in dynamic environment using a new optimization technique inspired by bacterial foraging technique. Rob. Auton. Syst. 64, 137\u2013141 (2015)","journal-title":"Rob. Auton. Syst."},{"issue":"2","key":"976_CR31","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1109\/87.911382","volume":"9","author":"T-C Lee","year":"2001","unstructured":"Lee, T.-C., Song, K.-T., Lee, C.-H., Teng, C.-C.: Tracking control of unicycle-modeled mobile robots using a saturation feedback controller. IEEE Trans. Control Syst. Technol. 9(2), 305\u2013318 (2001)","journal-title":"IEEE Trans. Control Syst. Technol."},{"issue":"13","key":"976_CR32","doi-asserted-by":"publisher","first-page":"2158","DOI":"10.1016\/j.ins.2008.12.028","volume":"179","author":"R Mart\u00ednez","year":"2009","unstructured":"Mart\u00ednez, R., Aguilar, L.T.: Optimization of interval type-2 fuzzy logic controllers for a perturbed autonomous wheeled mobile robot using genetic algorithms. Inf. Sci. 179(13), 2158\u20132174 (2009)","journal-title":"Inf. Sci."},{"key":"976_CR33","unstructured":"Kanayama, Y., Kimura, Y., Miyazaki, F., Noguchi, T.: A stable tracking control method for an autonomous mobile robot. In: Proceedings. 1990, IEEE International Conference on Robotics and Automation, IEEE Press, pp. 384\u2013389"},{"issue":"3","key":"976_CR34","doi-asserted-by":"publisher","first-page":"85","DOI":"10.3390\/a10030085","volume":"10","author":"C Caraveo","year":"2017","unstructured":"Caraveo, C., Valdez, F., Castillo, O.: A new meta-heuristics of optimization with dynamic adaptation of parameters using type-2 fuzzy logic for trajectory control of a mobile robot. Algorithms 10(3), 85 (2017)","journal-title":"Algorithms"},{"key":"976_CR35","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/3092872","author":"C Peraza","year":"2018","unstructured":"Peraza, C., Valdez, F., Castro, J.R., Castillo, O.: Fuzzy dynamic parameter adaptation in the harmony search algorithm for the optimization of the ball and beam controller. Adv. Oper. Res. (2018). https:\/\/doi.org\/10.1155\/2018\/3092872","journal-title":"Adv. Oper. Res."},{"issue":"2","key":"976_CR36","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/s41066-018-0121-6","volume":"4","author":"ML Lagunes","year":"2019","unstructured":"Lagunes, M.L., Castillo, O., Soria, J., Garcia, M., Valdez, F.: Optimization of granulation for fuzzy controllers of autonomous mobile robots using the Firefly Algorithm. Granul. Comput. 4(2), 185\u2013195 (2019)","journal-title":"Granul. Comput."},{"issue":"5","key":"976_CR37","doi-asserted-by":"publisher","first-page":"90","DOI":"10.3390\/a12050090","volume":"12","author":"ML Lagunes","year":"2019","unstructured":"Lagunes, M.L., et al.: Multi-metaheuristic competitive model for optimization of fuzzy controllers. Algorithms 12(5), 90 (2019)","journal-title":"Algorithms"},{"key":"976_CR38","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1016\/j.ins.2017.07.015","volume":"417","author":"T Eftimov","year":"2017","unstructured":"Eftimov, T., Koro\u0161ec, P., Seljak, B.K.: A novel approach to statistical comparison of meta-heuristic stochastic optimization algorithms using deep statistics. Inf. Sci. 417, 186\u2013215 (2017)","journal-title":"Inf. Sci."},{"issue":"10","key":"976_CR39","doi-asserted-by":"publisher","first-page":"2044","DOI":"10.1016\/j.ins.2009.12.010","volume":"180","author":"S Garc\u00eda","year":"2010","unstructured":"Garc\u00eda, S., Fern\u00e1ndez, A., Luengo, J., Herrera, F.: Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: experimental analysis of power. Inf. Sci. 180(10), 2044\u20132064 (2010)","journal-title":"Inf. Sci."},{"issue":"1","key":"976_CR40","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.swevo.2011.02.002","volume":"1","author":"J Derrac","year":"2011","unstructured":"Derrac, J., Garc\u00eda, S., Molina, D., Herrera, F.: A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol. Comput. 1(1), 3\u201318 (2011)","journal-title":"Swarm Evol. Comput."},{"issue":"3","key":"976_CR41","doi-asserted-by":"publisher","first-page":"101","DOI":"10.3390\/a10030101","volume":"10","author":"F Olivas","year":"2017","unstructured":"Olivas, F., et al.: Comparative study of type-2 fuzzy particle swarm, bee colony and bat algorithms in optimization of fuzzy controllers. Algorithms 10(3), 101 (2017)","journal-title":"Algorithms"},{"key":"976_CR42","first-page":"175","volume":"54","author":"E Ontiveros-Robles","year":"2018","unstructured":"Ontiveros-Robles, E., Melin, P., Castillo, O.: Comparative analysis of noise robustness of type 2 fuzzy logic controllers. Kybernetika 54, 175\u2013201 (2018)","journal-title":"Kybernetika"},{"issue":"3","key":"976_CR43","doi-asserted-by":"publisher","first-page":"77","DOI":"10.3390\/a10030077","volume":"10","author":"E Ontiveros-Robles","year":"2017","unstructured":"Ontiveros-Robles, E., Melin, P., Castillo, O.: New methodology to approximate type-reduction based on a continuous root-finding Karnik Mendel algorithm. Algorithms 10(3), 77 (2017)","journal-title":"Algorithms"}],"container-title":["International Journal of Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-020-00976-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40815-020-00976-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-020-00976-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,17]],"date-time":"2024-08-17T20:51:53Z","timestamp":1723927913000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40815-020-00976-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,21]]},"references-count":44,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["976"],"URL":"https:\/\/doi.org\/10.1007\/s40815-020-00976-w","relation":{},"ISSN":["1562-2479","2199-3211"],"issn-type":[{"value":"1562-2479","type":"print"},{"value":"2199-3211","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11,21]]},"assertion":[{"value":"7 January 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 September 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 September 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 November 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}