模糊数学ppt.ppt

FUZZY MATHEMATICSCopyright ? 2010 By Hu Bao Qing Wuhan UniversityAll rights reserved1Teaching Material模糊理论基础胡宝清编著武汉大学出版社2004年10月(第二次印刷)2010年06月(第二版)2I. Science Research Issue?Certainty—— Classical Mathematics?Uncertainty Stochastic —— Probability & Statistics Fuzzy —— Fuzzy Math. (Fuzzy Set Theory / Fuzzy Logic) (Zadeh, 1965) Vague —— Rough Sets Theory (Pawlak, 1982) Error/Approximative ——Interval Analyses (Moore, 1966) Grey —— Grey System Theory (Deng, 1982) Others (such as Set Pair Analyse, Extenic, etc.) 3?When —— 1965?Who —— L. A. Zadeh (扎德) puter & control expert Now: Professor in the Graduate School, Computer Science Division, University of California Before 1965: system theory and decision analysis After 1965: theory of fuzzy sets and its applications?Where —— Fuzzy Sets, Information and Control 8, 338 –353.?Why —— Uncertainty in control / puter / Artificial intelligence /~zadeh/II. Introduction of Fuzzy Sets4III. Development of Fuzzy Maths?First Stage: Foundation of Basic Theory (1965-1980)?Second Stage: Logic and Inference (1980-1990)?Third Stage: Applications (1990- )5?1966年,;?1974年,,从此,模糊理论成了一个热门的课题.?1974年,,并取得了比传统的直接数字控制算法更好的效果,从而宣告模糊控制的诞生.?,. Fuzzy Maths in China?Threshold —— the second half of 1970’s?Prosperity —— 1980’sWorld leading in Fuzzy topology and algebra Fuzzy Math (《模糊数学》, 原华中理工大学) has international influence7Downfall —— 1990’s Cause: 1. The