Fuzzy linear-weight transformation simplex method and its application to a chemiluminescence method

The fuzzy linear-weight transformation simplex method is designed for multi-feature optimization. The mathematical principle is described. The fuzzy relation matrix is developed on the basis of membership functions, which are expressed here as a set of linear equations. The features to be optimized are weighted according to the needs of the user. The Basic program is operated on an Apple-II or compatible computer. The method is applied to select the optimum reaction conditions for the 1,10-phenanthroline/H₂O₂/CTMAB/Cu²⁺ chemiluminescence system.