Softcomputing for decision support
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Softcomputing for decision support-Intro.
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Softcomputing for decision support
- 1. Softcomputing PROFESSOR: PHD. MAIKEL LEYVA VÁZQUEZ MLEYVAZ@GMAIL.COM Summer School, July-2014
- 2. • Day one- Intro and fuzzy sets • Day two- Fuzzy operators • Day three- Computing with words • Day four- Connectionist Models and evolutionary models • Day five-Conclusions and evaluation Course outline Recomendaciones
- 3. • Softcomputing • Uncertainty • Logic • Bayes teorem • Fuzzy sets • Fuzzy relations and SNA (Big Data) Outline Recomendaciones
- 4. • The principal constituents of soft computing (SC) Softcomputing Recomendaciones Softcomputing fuzzy logic neural network theory probabilistic reasoning evolutionary computing
- 5. • Soft computing is likely to play an especially important role in science and engineering, but eventually its influence may extend much farther. • In many ways, soft computing represents a significant paradigm shift in the aims of computing - a shift which reflects the fact that the human mind, unlike present day computers, possesses a remarkable ability to store and process information which is pervasively imprecise, uncertain and lacking in categoricity. Softcomputing Recomendaciones
- 6. • 800mg-100mg, twice a day. • About 120mg, 2-3 times a day. • Likely to be 200mg twice a day. • 30mg? or 80mg? twice a day (the number is hard to read). • 200mg 4 times a day or 100mg once a day. • 150mg. Different types of uncertainty Recomendaciones Wierman, M.J., An Introduction to the Mathematics of Uncertainty. 2010: Center for Mathematics of Uncertainty, Inc.
- 7. • 800mg-100mg, twice a day-Interval number, vague statement • About 120mg, 2-3 times a day-Fuzzy number. • Likely to be 200mg twice a day-Statement of confidence. • 30mg? or 80mg? twice a day (the number is hard to read)-Ambiguity. • 200mg 4 times a day or 100mg once a day- Inconsistency. • 150mg-incomplete information Different types of uncertainty Recomendaciones Wierman, M.J., An Introduction to the Mathematics of Uncertainty. 2010: Center for Mathematics of Uncertainty, Inc.
- 8. • At least 100mg, twice a day. • The usual dose for this drug is 100mg, twice a day. • 1g twice a day. • Google it. • Never heard of that drug. • 1313 Mokingbird Lane. Different types of uncertainty Recomendaciones Wierman, M.J., An Introduction to the Mathematics of Uncertainty. 2010: Center for Mathematics of Uncertainty, Inc.
- 9. • At least 100mg, twice a day-Imprecise. • The usual dose for this drug is 100mg twice a day-Too general statement. • 1g twice a day-Anomalous statement. • Google it –Incongruence. • Never heard of that drug-Ignorant. • 1313 Mokingbird Lane-Irrelevant . Different types of uncertainty Recomendaciones Wierman, M.J., An Introduction to the Mathematics of Uncertainty. 2010: Center for Mathematics of Uncertainty, Inc.
- 10. Mathematical models of uncertainty • Set Theory • Probability Theory • Logic • Fuzzy set theory • Rough set theory • Neutrosophic logic • Etc. Uncertainty Recomendaciones
- 12. • Euclides: • Hamming • Minkowski Fuctions-Distances Recomendaciones 2 1 2 1* )(),( n i ii baBAF )(),( 1* n i ii baBAF 1 1* )(),( n i ii baBAF
- 13. Symbol English Not And Or Implies For all There exists Predicate logic Recomendaciones
- 14. A B 0 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 1 True table of logical connectives Recomendaciones True≡1 , False ≡0
- 16. Aristotle is a man (Premise 1) All men are mortal (premise 2) Aristotle is mortal (conclusion) Reasoning under uncertainty Most firefighter are men Most men have secure jobs Most firefighter have secure jobs? Logic Recomendaciones
- 24. A linguistic variable is quintuple (H,T,U,G,M) : • H is the name of the variable • T is the set of linguistic names • U is the universe of values • G is a grammar that is used to specify the values allowed in T • Meaning M(X) of a term X ∈ T, is specified as a fuzzy subset in U. • Example : Linguistic variable Recomendaciones
- 32. Homework Recomendaciones x A a 0.1 b 1 a 0.5