JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2010, Vol. 40 ›› Issue (6): 32-35.

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Construction of a fuzzy membership function based on interval number

YU Shao-wei   

  1. Business School, Shandong Yingcai University, Jinan 250104, China
  • Received:2010-01-17 Online:2010-12-16 Published:2010-01-17

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Abstract:

An approach based on interval number for constructing a fuzzy membership function considering some problems existing in statistical methods was proposed.The conception of the youth using interval number was described, the interval number was transformed into a limited boundary fuzzy figure based on the knowledge of interval number and fuzzy number, and then a α-cut set of a normal fuzzy number was obtained by weighted computing  extending it into a fuzzy membership function. Experimental results showed that this approach was simple and accurate with wide applicability and the fuzzy membership function was more continuous, objective and suitable to people's subjective consciousness.

Key words: interval number, fuzzy statistics, fuzzy membership function, normal fuzzy number

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