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Table 2 Whitened functions for six grades

From: Application of fuzzy evaluation technique and grey clustering method for water quality assessment of the coastal and estuaries of selected rivers in Sarawak

Whitened function Expression Scope
  1 (0 ≤ Ci ≤ CI)
f 1 (Ci) (CII–Ci)/(CII–CI) (CI < Ci < CII)
  0 (Ci > CII)
  (Ci–CI)/(CII–CI) (CI < Ci < CII)
f 2 (Ci) (CIII–Ci)/(CIII–CII) (CII < Ci < CIII)
  0 (Ci ≤ CI or Ci ≥   CIII)
  (Ci–CII)/(CIII–CII) (CII < Ci < CIII)
  1 (Ci = CIII)
f 3 (Ci) (CIV–Ci)/(CIV–CIII) (CIII < Ci < CIV)
  0 (Ci ≤ CII or Ci ≥  CIV)
  (Ci–CIII)/(CIV–CIII) (CIII < Ci < CIV)
  1 (Ci = CIV)
f 4 (Ci) (CV–Ci)/(CV–CIV) (CIV < Ci < CV)
  0 (Ci < CIII or Ci ≥  CV)
  (Ci–CIV)/(CV–CIV) (CIV < Ci < CV)
  1 (Ci = CV)
f 5 (Ci) (CVI–Ci)/(CVI–CV) (CV < Ci < CVI)
  0 (Ci ≤ CIV or Ci ≥  CVI)
  0 (0 < Ci < CV)
f 6 (Ci) (Ci–CVI)/(CVI–CV) (CV < Ci < CVI)
  1 (Ci > CVI)