A note on the inverse fuzzy integrated judgment

An application of fuzzy dynamic integrated judgment in cotton allocation can be found in Zhao, Peng, and Cheng [4]. Often applications in which the fuzzy integrated judgment has been successfully used were turned out to be quite effective. How to decide a fuzzy weight set is an inverse operation of fuzzy integrated judgment. Nonetheless, the fuzzy weight set that stands for the experience and the technology of experts plays a crucial role in applying the fuzzy integrated judgment. The success of fuzzy integrated judgment depends upon the choice of fuzzy weight set. Thus, an inverse process of fuzzy integrated judgment is an important practice; especially, in cotton allocation problem. Under certain conditions, the original image à (as a fuzzy weight set) is an important feasible solution to the fuzzy relation equation B̃ = à o R̃. However, it is necessary to use the original image à as a fuzzy weight set unconditionally in some practical applications of fuzzy integrated judgment. Therefore, it is very crucial to create a practical approach of obtaining the optimal fuzzy weight set for building a model of fuzzy dynamic integrated judgment regardless of the existence of the exact original image.