Commenced in January 2007
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Edition: International
Paper Count: 33005
Defuzzification of Periodic Membership Function on Circular Coordinates
Authors: Takashi Mitsuishi, Koji Saigusa
Abstract:
This paper presents circular polar coordinates transformation of periodic fuzzy membership function. The purpose is identification of domain of periodic membership functions in consequent part of IF-THEN rules. Proposed methods in this paper remove complicatedness concerning domain of periodic membership function from defuzzification in fuzzy approximate reasoning. Defuzzification on circular polar coordinates is also proposed.
Keywords: Defuzzification, periodic membership function, polar coordinates transformation.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1096173
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[1] L. A. Zadeh, "Fuzzy Sets,” Information and Control, Vol. 8, pp.338–353. 1965.
[2] L. A. Zadeh, "Fuzzy algorithms,” Information and Control, Vol. 12, pp.94–102, 1968.
[3] E. H. Mamdani, "Application of fuzzy algorithms for control of simple dynamic plant,” Proc. IEE 121, No. 12, pp.1585–1588, 1974.
[4] M. Mizumoto, "Improvement of fuzzy control (IV) - Case by product-sum-gravity method -,” Proc. 6th Fuzzy System Symposium, pp. 9–13, 1990.
[5] Werner Van Leekwijck and Etienne E. Kerre, "Defuzzification: criteria and classification,” Fuzzy Sets and Systems, vol. 108, pp. 159–178, 1999.
[6] Li Na and Weng Jing, "A New Defuzzification Method for Enhance Performance of Fuzzy Logic Control System”, Software Engineering and Knowledge Engineering: Theory and Practice, AISC 114 (2012) 403–409.
[7] Fabian C. Hadipriono and Kerning Sun, "Angular fuzzy set models for linguistic values,” Civil Engineering Systems, Volume 7, Issue 3, pp. 148–156, 1990.
[8] Kerning Sun, "Motion control using angular fuzzy set model,” Proceedings of 1993 Asia-Pacific Workshop on Advances in Motion Control , pp. 241–246, 1993.
[9] T. Mitsuishi, K. Wasaki and Y. Shidama, "Continuity of Fuzzy Controller” MECHANIZED MATHEMATICS AND ITS APPLICATIONS, Vol. 1, No. 1, pp.31–38, 2000.
[10] T. Mitsuishi, N. Kayaki, K. Saigusa, "Color construction using dual fuzzy system”, Proc. of IEEE International Symposium on Computational Intelligence for Measurement Systems and Applications (CIMSA), pp. 136–139, 2003.
[11] T. Mitsuishi, N. Kayaki, K. Saigu, M. Kochizawa, "Automatic Color Decision Using Fuzzy Control”, Proc. of IFAC Multitrack Conference on Advanced Control Strategies for Social and Economic Systems (ACS2004), Preprints Volume CD-ROM, 2004.
[12] T. Mitsuishi, M. Abe, K. Saigusa, N. Kayaki, M. Kochizawa, "Approximate Reasoning Using Fuzzy Set as Input Applied to Coloration”, Proc. of 2005 Asia-Pacific Workshop on Visual Information Processing, pp. 242–246, 2005.
[13] T. Mitsuishi, K. Saigusa and Y. Shidama, "Periodic Fuzzy Set on Circular Coordinates,” 6th Podlasie Conference on Mathematics (6PCM), pp. 68-70, 2014.