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Soft computing (SC) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],VAN-00

Constituents of SC ,[object Object],[object Object],[object Object],[object Object],VAN-00 Over 24 000 publications today

SC: a user-friendly interface VAN-00

Advantages of SC ,[object Object],[object Object],VAN-00

SC today (Zadeh) ,[object Object],[object Object],[object Object],VAN-00

Possible SC data & operations ,[object Object],[object Object],[object Object],VAN-00

Neural networks (NN, 1940's) ,[object Object],[object Object],[object Object],VAN-00

Machine learning (supervised) ,[object Object],[object Object],[object Object],VAN-00 Peach Plum ? Instructor

Machine learning (unsupervised) ,[object Object],[object Object],[object Object],VAN-00 Peach Plum Nectarine Labeling

Machine learning (unsupervised) ,[object Object],[object Object],[object Object],VAN-00 Peach Plum Nectarine Labeling Websom Self-Organizing Maps for Internet Exploration

Fuzzy systems (Zadeh, 1960's) ,[object Object],[object Object],[object Object],VAN-00 Omron’s fuzzy processor Omron Electronics Matlab's Fuzzy Logic Toolbox

SC applications: control ,[object Object],[object Object],[object Object],[object Object],VAN-00

SC applications: business VAN-00 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

SC applications: finance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],VAN-00

SC applications: robotics VAN-00 Fukuda’s lab Joseph F. Engelberger We are proud to announce that the HelpMate Robotic Courier has been acquired by Pyxis Corporation . Entertainment robot AIBO

SC applications: others VAN-00 ,[object Object],[object Object],[object Object],[object Object],[object Object]

(Neuro)-fuzzy system construction VAN-00 Training data Experts Fuzzy rules (SOM, c-means etc.) Control data System evaluation (errors) Tuning (NN) New system

Model construction (mathematical) ,[object Object],[object Object],[object Object],[object Object],VAN-00 Y=1-1./(1 + EXP(-2*(X-5)))

Model construction (trad. rules ) VAN-00 If 0 < x<1, then y=1 If 1 < x<2, then y=0.99 : If 8 < x < 10, then y=0 If 0 < x<1, then y=f(x) If 1 < x<2, then y=g(x) : If 8 < x < 10, then y=h(x) - Rule for each input. => Large rule bases. - Only one rule is fired for each input. - Coarse models.

Model construction (SC/fuzzy) VAN-00 If x  0, then y  1 If x  5, then y  0.5 If x  10, then y  0 - Approximate values - Rules only describe typical cases (no rule for each input). => Small rule bases. - A group of rules are partially fired simultaneously.

SC and future ,[object Object],VAN-00

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