{"title":"Applying Half-Circle Fuzzy Numbers to Control System: A Preliminary Study on Development of Intelligent System on Marine Environment and Engineering","authors":"Chen-Yuan Chen, Wan-I Lee, Yi-Chaio Sui,Cheng-Wu Chen","volume":48,"journal":"International Journal of Marine and Environmental Sciences","pagesStart":1980,"pagesEnd":1985,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/11354","abstract":"
This study focuses on the development of triangular fuzzy numbers, the revising of triangular fuzzy numbers, and the constructing of a HCFN (half-circle fuzzy number) model which can be utilized to perform more plural operations. They are further transformed for trigonometric functions and polar coordinates. From half-circle fuzzy numbers we can conceive cylindrical fuzzy numbers, which work better in algebraic operations. An example of fuzzy control is given in a simulation to show the applicability of the proposed half-circle fuzzy numbers.<\/p>\r\n","references":"[1] A. Bogomolny, On the perimeter and area of fuzzy sets, Fuzzy Sets and\r\nSystems, 23 (1987) 257-269.\r\n[2] D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and\r\nApplications, Academic Press, New York 1980.\r\n[3] H. J. Zimmermann, Fuzzy Sets, Decision Making and Expert Systems,\r\n(1991) Boston: Kluwer Academic Publisher.\r\n[4] H. J. 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