Title :
Nonlinear Programming Model Integrating Different Preference Structures
Author :
Xu, Zeshui ; Cai, Xiaoqiang ; Liu, Shousheng
Author_Institution :
Coll. of Econ. & Manage., Southeast Univ., Nanjing, China
Abstract :
In this correspondence paper, we consider a large group decision-making problem in which the decision makers provide their preferences over a number of alternatives using distinct preference structures, including the following: 1) utility values; 2) preference orderings; 3) multiplicative preference relations; 4) incomplete multiplicative preference relations; 5) fuzzy preference relations; and 6) incomplete fuzzy preference relations. We establish a nonlinear programming model to integrate all of these preference structures and then employ a genetic algorithm to find the solution to the problem. This model can be reduced to a variety of special models suitable for group decision-making situations in which the preferences are represented in one (or several) of the aforementioned preference structures. Finally, detailed numerical analysis is provided to verify the feasibility and effectiveness of the model.
Keywords :
decision making; fuzzy set theory; genetic algorithms; nonlinear programming; distinct preference structures; genetic algorithm; group decision-making problem; incomplete fuzzy preference relations; incomplete multiplicative preference relations; nonlinear programming model; preference orderings; utility values; Aggregates; Context modeling; Decision making; Delta modulation; Fuzzy sets; Genetic algorithms; Humans; Numerical analysis; Research and development management; Systems engineering and theory; General nonlinear programming model; genetic algorithm (GA); large group decision making; preference structures;
Journal_Title :
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
DOI :
10.1109/TSMCA.2010.2052601