An approach to amend Yager ordering index

In the decision-making analysis, decision-maker usually must pick up the optimum choice among numerous decision-makings. Because the thing to be decision-making often is expressed a series of fuzzy sets in the fuzzy circumstance, the decision-making choice is to compare fuzzy sets each other, or ordering fuzzy sets. There are many methods in ordering fuzzy sets. Among them, Yager has presented four ways successively adopting respectively index F1, F2, F3 and F4 to proceed ordering for fuzzy sets. However, index F1 has poor discriminability for the second situation in the six compare basic situation calculation. In order to solve this problem, author aims at the ordering problem of integral number, triangular and trapezoidal fuzzy sets, amends index F1 in the original basis, and presents index F1. And thus, the problem of poor discriminability to the second case has been solved nicely.