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{"title":"Half-Circle Fuzzy Number Threshold Determination via Swarm Intelligence Method","authors":"P.-W. Tsai, J.-W. Chen, C.-W. Chen, C.-Y. Chen","volume":89,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":901,"pagesEnd":905,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9998956","abstract":"<p>In recent years, many researchers are involved in the<br \/>\r\nfield of fuzzy theory. However, there are still a lot of issues to be<br \/>\r\nresolved. Especially on topics related to controller design such as the<br \/>\r\nfield of robot, artificial intelligence, and nonlinear systems etc.<br \/>\r\nBesides fuzzy theory, algorithms in swarm intelligence are also a<br \/>\r\npopular field for the researchers. In this paper, a concept of utilizing<br \/>\r\none of the swarm intelligence method, which is called Bacterial-GA<br \/>\r\nForaging, to find the stabilized common P matrix for the fuzzy<br \/>\r\ncontroller system is proposed. An example is given in in the paper, as<br \/>\r\nwell.<\/p>\r\n","references":"[1] A. Bogomolny, \"On the perimeter and area of fuzzy sets, Fuzzy Sets and\r\nSystems,\u201d vol. 23, 1987, pp. 257-269.\r\n[2] P.J.M. van Laarhoven and W. Perdrycz, \"A fuzzy Extension of Saaty\r\npriority theory,\u201d Fuzzy Set and Systems, vol. 11, 1983, pp. 229-241.\r\n[3] D. Dubois and H. Prade, \"Fuzzy Sets and Systems: Theory and\r\nApplications,\u201d Academic Press, New York 1980.\r\n[4] H. J. Zimmermann, Fuzzy Sets, Decision Making and Expert Systems,\r\n(1991) Boston: Kluwer Academic Publisher.\r\n[5] H. J. Zimmermann., Fuzzy Set Theory and Its Applications, (1991)\r\nKluwer, Dordrecht.\r\n[6] C. Y. Chen, W. I. Lee, Y. C. Sui, and C. W. Chen, \"Applying half-circle\r\nfuzzy numbers to control system: a preliminary study on development of\r\nintelligent system on marine environment and engineering,\u201d World\r\nAcademy of Science, Engineering and Technology, vol. 72, 2010, pp.\r\n204-209.\r\n[7] F.H. Hsiao, W.L. Chiang, C.W. Chen, S.D. Xu and S.L. Wu, \"Application\r\nand robustness design of fuzzy controller for resonant and chaotic\r\nsystems with external disturbance,\u201d International Journal of Uncertainty,\r\nFuzziness and Knowledge-Based System, vol. 13, 2005, pp. 281-295.\r\n[8] S.-C. Chu, and P.-W. Tsai, \"Computational Intelligence Based on the\r\nBehavior of Cats,\u201d International Journal of Innovative Computing,\r\nInformation and Control, vol. 3, no. 1, 2007, pp. 163-173.\r\n[9] S.-C. Chu, P.-W. Tsai, and J.-S. Pan, \"Cat Swarm Optimization,\u201d in Proc.\r\n9th Pacific Rim International Conference on Artificial Intelligence, LNAI\r\n4099, 2006, pp. 854-858.\r\n[10] J.-S. Pan, P.-W. Tsai, and B.-Y. Liao, \"Fish Migration Optimization\r\nBased on the Fishy Biology,\u201d in Proc. of 2010 4th International\r\nConference on Genetic and Evolutionary Computing, 2010, pp. 783-786.\r\n[11] P.-W. Tsai, J.-S. Pan, B.-Y. Liao, M.-J. Tsai, and V. Istanda, \"Bat\r\nAlgorithm Inspired Algorithm for Solving Numerical Optimization\r\nProblems,\u201d Applied Mechanics and Materials, vol. 148-149, 2012, pp.\r\n134-137.\r\n[12] C.W. Chen, W.L. Chiang, and C.H. Tsai et al., \"Fuzzy Lyapunov method\r\nfor stability conditions of nonlinear systems,\u201d International Journal on\r\nArtificial Intelligence Tools, vol. 15, 2006, pp. 163-171.\r\n[13] C.W. Chen, W.L. Chiang, and F.H. Hsiao, \"Stability analysis of T-S\r\nfuzzy models for nonlinear multiple time-delay interconnected systems,\u201d\r\nMathematics and Computers in Simulation, vol. 66, 2004, pp. 523-537.\r\n[14] F.H. Hsiao, C.W. Chen, and Y.W. Liang et al., \"T-S fuzzy controllers for\r\nnonlinear interconnected systems with multiple time delays,\u201d IEEE Trans.\r\nCircuits & Systems-I, vol. 52, 2005, pp. 1883- 1893.\r\n[15] W. I. Lee, C. W. Chen, C. Y. Chen, and Y. C. Sui, \"Application of\r\nhalf-circle fuzzy numbers and development of triangular fuzzy numbers\r\nto fuzzy control,\u201d in Proc. 10th WSEAS International Conf. on Applied\r\nComputer Sciences (ACS\u201910), Japan, 2010, pp. 335-340.\r\n[16] J.M. Mendel, \"Fuzzy logic systems for engineering: A tutorial,\u201d in Proc.\r\nof the IEEE, 83 March 1995.\r\n[17] J. J. Buckley, \"Fuzzy Hierarchical Analysis,\u201d Fuzzy Sets and System, vol.\r\n17, 1985, pp. 233-247.\r\n[18] C.W. Chen, C.L. Lin, C.H. Tsai, C.Y. Chen, and K. Yeh, \"A novel\r\ndelay-dependent criteria for time-delay T-S fuzzy systems using fuzzy\r\nLyapunov method,\u201d International Journal on Artificial Intelligence Tools,\r\nvol. 16, 2007, pp. 545-552.\r\n[19] J. J. Buckley, \"Ranking alternatives using fuzzy number,\u201d Fuzzy Set and\r\nSystem, vol. 15, 1985, pp. 21 -31.\r\n[20] J. J. Buckley and E. Eslami, \"Fuzzy plane geometry I: Points and lines,\u201d\r\nFuzzy Sets and Systems, vol. 86, 1997, pp. 179-187.\r\n[21] J.J. Buckley and E. Eslami, \"Fuzzy plane geometry II: Circles and\r\npolygons,\u201d Fuzzy Sets and Systems, vol. 87, 1997, pp. 79-85.\r\n[22] G. Beni, J. Wang, \"Swarm Intelligence in Cellular Robotic Systems,\u201d in\r\nProc. of NATO Advanced Workshop on Robots and Biological Systems,\r\nTuscany, Italy, 1989.\r\n[23] S. Mishra, and C. N. Bhende, \"Bacterial Foraging Technique-Based\r\nOptimized Active Power Filter for Load Compensation\u201d, IEEE\r\nTransactions on Power Delivery, vol. 22, no. 1, 2007, pp. 457-465.\r\n[24] Kevin M. Passino, \"Biomimicry of Bacterial Foraging for Distributed\r\nOptimization and Control,\u201d Control Systems Magazine, June 2002, pp.\r\n52-67.\r\n[25] W. J. Tang, Q. H. Wu, and J. R. Saunders, \"Bacterial Foraging Algorithm\r\nFor Dynamic Environments,\u201d in Proc. IEEE Congress on Evolutionary\r\nComputation, IEEE, July 2006, pp. 1324-1330.\r\n[26] J. S. Pan, F. R. McInnes and M. A. Jack, \"Application of Parallel Genetic\r\nAlgorithm and Property of Multiple Global Optima to VQ Codevector\r\nIndex Assignment,\u201d Electronics Letters, Vol. 32, No. 4, 1996,\r\npp.296-297.\r\n[27] T.-C. Chen, P.-W. Tsai, S.-C. Chu, and J.-S. Pan, \"A Novel Optimization\r\nApproach: Bacterial-GA Foraging,\u201d in Proc. 2nd International Conf. on\r\nInnovative Computing, Information and Control (ICICIC-2007), Japan","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 89, 2014"}