For fuzzy relation inequality system B ≤R A≤ B ,after its fuzzy relation R is obtaind using sign matrix method, fuzzy mapping R is changed into R * as the new input of fuzzy relation in the preparatory system.

The problem of fuzzy mapping algorithms with multiple indices having excessively small weighing vector components was analyzed to preclude irrational evaluation results arising in the fuzzy evaluation of product structural designs.

The paper discusses the shortages of the common FUZZY-PI and FUZZY-PID controllers,and a simple transferable way of compound controllers with fuzzy switching based on error is proposed.

The selfadaptive fuzzy-PID composite control is implemented via the fuzzy switching arithmetic based on trapezoidal membership function and the online self-tuning arithmetic with quantized and proportional factors based on variable universe and human simulating intelligence.

According to fuzzy transformation in fuzzy map logic,it could get the trust vector of the given software entry through the fuzzy transformation between trust degree of software entry X and the evaluation of key attributes of the given software entry.

The information redundancy is the basis of image compression,and image fuzzy transformation can increase information redundancy.

Algorithm defined some basic concepts such as trust degree,trust relation,key attributes and fuzzy transformation and four elements such as key attributes set U,agents set Y,evaluation set V and evaluation matrix R.

The computing method of index weight is discussed in the face of multiple objective decision making, and the authors construct the quantitative analysis model of multiple fuzzy evaluation through fuzzy transform.