Multiple objective decision making in past, present, and future

Abstract

Since Kuhn and Tucker (195 1) originally proposed the concept of proper noninferior solution solving nonlinear programming problems and it was later modified by Geoffrion (1967), Yu (1973) further introduce compromise solution method to cope with multicriteria decision-making problems. In addition, Charnes (1955) presented goal programming method, and Bellman and Zadeh (1970) proposed the concepts of decision-making in fuzzy environment, many distinguished work guide person study in this field. This paper review some methods concerning basic mathematical concepts of models applied on multiple objective decision making problem including fuzzy multiobjective linear programming (FMOLP), fuzzy goal programming (FGP), two-phase method, achievement function, data envelopment analysis(DEA), and De Novo Programming.