Probability measure of interval-number based on normal distribution and multi-attribute decision making
GE Zhi-hao · Systems engineering and electronics · 2008
The uniform interval-number is limited for modeling the fuzzy evaluation values and weight coefficient,and the interval-number which obeys normal distribution is used in multi-attribute decision making.The probability measure of the fuzzy interval is analyzed,and the normal distribution interval-number is produced by distribution characters.The transform relationship between the intervalnumber of normal distribution and the normal interval-number is given.According to the normal distribution law,two fuzzy operators are designed,which are used to aggregate the fuzzy integrate evaluation vector.The integrate evaluation is also produced by fuzzy random simulation,so the average and variance of the samples are utilized to rank.The example's results show the two methods' validity.