Simple linear interpolation explains all usual choices in fuzzy techniques: Membership functions, t-norms, t-conorms, and defuzzification

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Kreinovich V., Quijas J., Gallardo E., De Sa Lopes C., Kosheleva O., Shahbazova Ş.

Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS 2015, Washington, United States Of America, 17 - 19 August 2015, vol.2015-September, (Full Text) identifier

  • Nəşrin Növü: Conference Paper / Full Text
  • Cild: 2015-September
  • Doi nömrəsi: 10.1109/nafips-wconsc.2015.7284162
  • Çap olunduğu şəhər: Washington
  • Ölkə: United States Of America
  • Açar sözlər: Blood pressure, Computer science, Education, Fuzzy logic, Interpolation, Natural languages, Transforms
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Most applications of fuzzy techniques use piece-wise linear (triangular or trapezoid) membership functions, min or product t-norms, max or algebraic sum t-conorms, and centroid defuzzification. Similarly, most applications of interval-valued fuzzy techniques use piecewise-linear lower and upper membership functions. In this paper, we show that all these choices can be explained as applications of simple linear interpolation.