Soft computing aims to mimic human reasoning using techniques like fuzzy logic, neural networks, evolutionary computing and probabilistic reasoning. It has advantages over conventional computing by producing models that are linguistically simple, comprehensible, fast and effective in practice. Soft computing has over 24,000 publications and is used widely in applications such as control systems, business, finance, robotics, science and more.
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1. Soft computing (SC) Objective: Mimic human (linguistic) reasoning Main constituents: - Fuzzy systems - Neural networks - Evolutionary computing - Probabilistic reasoning VAN-00
2. Constituents of SC Fuzzy systems => imprecision Neural networks => learning Probabilistic reasoning => uncertainty Evolutionary computing => optimization VAN-00 Over 24 000 publications today
4. Advantages of SC Models base on human reasoning. Models can be - linguistic - simple (no number crunching), - comprehensible (no black boxes), - fast when computing, - good in practice. VAN-00
5. SC today (Zadeh) Computing with words (CW) Theory of information granulation (TFIG) Computational theory of perceptions (CTP) VAN-00
6. Possible SC data & operations Numeric data: 5, about 5, 5 to 6, about 5 to 6 Linguistic data: cheap, very big, not high, medium or bad Functions & relations: f(x), about f(x), fairly similar, much greater VAN-00
7. Neural networks (NN, 1940's) Neural networks offer a powerful method to explore, classify, and identify patterns in data. Website of Matlab Neuron: y= w i x i VAN-00
8. Machine learning (supervised) Pattern recognition based on training data. Classification supervised by instructor. Neural (crisp or fuzzy), neuro-fuzzy and fuzzy models. VAN-00 Peach Plum ? Instructor
9. Machine learning (unsupervised) Pattern recognition based on training data. Classification based on structure of data (clustering). Neural (crisp or fuzzy), neuro-fuzzy and fuzzy models. VAN-00 Peach Plum Nectarine Labeling
11. Fuzzy systems (Zadeh, 1960's) Deal with imprecise entities in automated environments (computer environments) Base on fuzzy set theory and fuzzy logic. Most applications in control and decision making VAN-00 Omron’s fuzzy processor Omron Electronics Matlab's Fuzzy Logic Toolbox
12. SC applications: control Heavy industry (Matsushita, Siemens, Stora-Enso) Home appliances (Canon, Sony, Goldstar, Siemens) Automobiles (Nissan, Mitsubishi, Daimler-Chrysler, BMW, Volkswagen) Spacecrafts (NASA) VAN-00
13. SC applications: business VAN-00 hospital stay prediction, TV commercial slot evaluation, address matching, fuzzy cluster analysis, sales prognosis for mail order house, multi-criteria optimization etc. (source: FuzzyTech) supplier evaluation for sample testing, customer targeting, sequencing, scheduling, optimizing R&D projects, knowledge-based prognosis, fuzzy data analysis
15. 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
16. SC applications: others VAN-00 Statistics Social sciences Behavioural sciences Biology Medicine
17. (Neuro)-fuzzy system construction VAN-00 Training data Experts Fuzzy rules (SOM, c-means etc.) Control data System evaluation (errors) Tuning (NN) New system
18. Model construction (mathematical) Mathematical models are functions. Deep knowledge on mathematics. If non-linear (eg. NN), laborious calculations and computing. Linear models can be too simplified. How can we find appropriate functions? VAN-00 Y=1-1./(1 + EXP(-2*(X-5)))
19. 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.
20. 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.
21. SC and future SC and conventional methods should be used in combination. VAN-00