Advertisement

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)

Abstract

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.

Keywords

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

Reference

  1. 1.
    Chen Guanrong, and Trung Tat Pham, “Introduction to fuzzy sets, fuzzy logic, and fuzzy control systems”, page 6, CRC Press, 2001Google Scholar
  2. 2.
    D. Dubois and H. Prade, “Possibility Theory”, Plenum Press, New York, 1988zbMATHGoogle Scholar
  3. 3.
    J. C Helton, “Uncertainty and Sensitivity Analysis in the Presence of Stochastic and Subjective Uncertainty.” Journal of Statistical Computation and Simulation 57: 3–76 1997.zbMATHCrossRefGoogle Scholar
  4. 4.
    L.A. Zadeh, “Fuzzy Sets”, Information and Control 8(3): 338–353 1965zbMATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    L.A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning — I”. Inf. Sci. 8(3): 199–249 1975CrossRefMathSciNetGoogle Scholar

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

Personalised recommendations