Mathematical Problems in Engineering

Research Article

A New Distance Measure and Ranking Method for Generalized Trapezoidal Fuzzy Numbers

Table 1

Case studies using Boltolan and Degani's examples in Figure 1.
Chang Kerre Lee-Lee Liou-WangJainProposed
O G
.02 .80 00 .15.1.05.18.03.40 .1.1.1
.18 1 11 .95.9.85 .90.84.95 .9.5.1
.14 .80 00 .75.7.65 .72.55.84 .7.4.1
.18 1 11 .95.9.85 .90.84.95 .9.5.1
.16 .85 00 .85.8.75 .81.70.90 .8.45.1
.09 1 11 .98.95.93 .95.92.97 .95.5.5
.04 .80 00 .25.2.15 .32.12.55 .2.15.1
.08 .80 0.5 .45.4.35 .55.33.72 .1.25.4
.14 1 11 .75.7.65 .89.80.94 .1.4.7
0 .89 00 .5.250 .090.26 .03.04.05
.12 .85 0.5 .65.6.55 .63.42.78 .6.35.1
.10 1 11 1.98.95 111 .96.5.05
.40 .96 .671 .75.59.43 .66.53.78 .55.43.32
.34 .89 .32.32 .75.59.43 .69.51.81 .61.47.32
.58 .51 .40.23 .75.4.05 .66.53.78 .41.55.7
.12 .89 .601 .65.6.55 .63.42.78 .6.35.1
.58 .42 .40.13 .75.4.05 .66.53.78 .41.55.7
.14 .95 .701 .75.7.65 .72.54.84 .7.4.1
.46 1 .651 .95.8.65 .90.84.95 .76.53.3
.41 .86 .35.61 .85.7.55 .76.65.86 .7.5.3
.38 .76 .20.18 .75.6.45 .66.54.78 .63.46.3
.28 1 .651 .8.7.6 .82.71.89 .7.45.2
.37 .91 .34.60 .8.65.5 .82.71.89 .63.46.3
.52 .75 .24.23 .8.58.35 .82.71.89 .57.51.45
.56 1 .621 .85.63.4 .90.82.94 .62.53.45
.33 .85 .38.62 .7.55.4 .69.56.80 .56.43.3
.20 .75 .24.21 .6.5.4 .64.45.77 .5.35.2
.29 .91 .501 .65.5.35 .73.60.83 .5.4.3
.10 .91 .501 .55.5.45 .67.48.80 .5.3.1