Fuzzy optimization for uncertain systems

• Main Authors: Huang Jung-Ping, 黃榮彬
• Other Authors: Chen Cheng-Liang
• Format: Others
• Language: zh-TW
• Published: 2001
• Online Access: http://ndltd.ncl.edu.tw/handle/76100837603015279428

碩士 === 國立臺灣大學 === 化學工程學研究所 === 89 === In this thesis,we mainly discuss how to solve the single objective and multi-objective fuzzy optimization problems and ,moreover,introduce the methodology in detail. In single objective optimization problem,by means of fuzzy logic,we transfer uncertain parameters and constraints into fuzzy sets with membership functions.Therefore,objective function is considered as a fuzzy one.Through the analysis of mathematical programming, we know that original objective value locates between the condition of pessimistic view and the condition of optimistic view.According to above two objective values, the fuzzy description of objective function could be constructed.After fuzzification ,one can reformulate the original single objective optimization into a new mathematical model by principle of fuzzy decision and solve it.We again apply the concept of fuzzy decision in multi-objective optimization problem. Base on the optimum of each objective we can establish a payoff table . And using the value of unacceptable level and optimal value of each objective fuzzification can be achieved by means of mathematical programming.Similarly,the problem of muti-objective optimization problem can be reformulated and solved.Finally,we apply methodology and procedures for single objective and multi-objective fuzzy optimization on batch process design.