| Affiliation: | (1) Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu, Taiwan, Peoples Republic of China, 300;(2) Department of Business Management, National United University, Miaoli, Taiwan, Peoples Republic of China, 360 |
| Abstract: | In this study we first present the preference structures in decision making as a generalized non-linear function. Then, we incorporate it into a fuzzy linear inequality of which the progressive and conservative manners are described by the concept of target hyperplanes. Thus, one s preference domain is said to be bounded by such soft constraint. When facing different situations, a membership function is defined as an evaluation function for incorporating ones optimistic or pessimistic attitude into this soft constraint. Once a goal is pursued, the problem is transformed into a symmetric fuzzy linear program. Based on max–min principle, an auxiliary crisp model in the form of a generalized fractional program is derived. Then, Dinkelbach-type-2 and the bisection algorithms are adopted for solution. Finally their simulation results of an uncertain production scheduling problem are reported. |
