Discussion on Natural Fuzzy Extension and Joint Fuzzy Extension of the Rational Function

  • Shihui Wang
  • Sizong Guo
Conference paper
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 78)

Abstract

According to the knowledge of interval analysis, relations between natural fuzzy extension and joint fuzzy extension of rational function are discussed in this paper . On the basis of the natural fuzzy extension of rational function , two solutions to the joint fuzzy extension of rational function are put forward. Based on the structured element method, the fuzzy arithmetic with equality constraints is turned into the operation of two monotone functions with the same monotonic form on [0,1]. From this transition we get analytical expression of joint fuzzy extension of the rational function.

Keywords

Interval analysis Joint fuzzy extension Natural fuzzy extension Structured element 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Shihui Wang
    • 1
  • Sizong Guo
    • 1
  1. 1.Department of Applied MathematicsLiaoNing Technical UniversityFuxinChina

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