Application of half-circle fuzzy numbers and development of triangular fuzzy numbers to fuzzy control

  • Authors:

  • Wan-I Lee;Chen-Yuan Chen;Cheng-Wu Chen;Yi-Chaio Sui

  • Affiliations:

  • Department of Marketing and Distribution Management, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan;Department of Computer Science, National Pingtung University of Education, Pingtung, Taiwan;Institute of Navigation Science and Technology, National Kaohsiung Marine University, Taiwan;Institute of Business Administration, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan

  • Venue:
  • ACS'10 Proceedings of the 10th WSEAS international conference on Applied computer science
  • Year:
  • 2010

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Abstract

There have been many increasing interests in fuzzy theory in the recent years, yet there are a lot of issues to be resolved, mainly on topics related to controller design such as the field of robot, artificial intelligence, and nonlinear systems etc. 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.