Fuzzy Linguistic Variable Matrix and Parabola-Based Fuzzy Normal Distribution

A Method for Designing Fuzzy Linguistic terms
  • K. K. F. Yuen
  • H. G. W. Lau
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 228)


This paper attempts to present the new approach to design sufficient number of systematic fuzzy linguistics in matrix form and map the Fuzzy Linguistic Variable Matrix, which contains linguistic terms, into numeric domain using Fuzzy Normal Distribution based on the Parabola-based Membership Function. Existing fuzzy set theory is difficult to design the systematic and sufficient fuzzy linguistics. Due to this reason, in most practice, giving insufficient fuzzy linguistics induces inaccurate calculation whilst giving excessive fuzzy linguistics induces the parameter design problems and calculation performance. This paper presents Fuzzy Linguistic Variable Matrix and Parabola-based Fuzzy Normal Distribution (FND) as preferred framework to address the problem.


Fuzzy Set Fuzzy Logic Fuzzy Linguistics Variable Matrix Parabola-based Membership Function Fuzzy Normal Distribution Directional Hedge Linguistics 


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Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • K. K. F. Yuen
    • 1
  • H. G. W. Lau
    • 1
  1. 1.Department of Industrial and Systems EngineeringHong Kong Polytechnic UniversityHung Hom, Kowloon, Hong KongChina

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