2007Unpublished venueRequires access

The Composition of the Book in Fuzzy Logic Adapted to Stationary and Distance Courses for Advanced Students

Elisabeth Rakus-Andersson

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Abstract

The project titled: “The Composition of the Book in Fuzzy Logic Adapted to Stationary and Distance Courses for Advanced Students” has been granted by the Swedish Royal Academy of Sciences in 2007 The following contents of the book “Basic Concepts and Applications of Fuzzy Set Theory” is primarily designed as: Contents 1. Introduction 2. Fuzzy sets 3. Fuzzy and linguistic variables 4. Operations on fuzzy sets 5. T and S Norms 6. Fuzzy measures and measures of fuzziness 7. Extension principles 8. Fuzzy numbers and their arithmetic 9. The L-R, interval and alpha-cut representations of fuzzy numbers 10. Fuzzy relations, The compositional rule of inference 11. The eigen sets of a fuzzy relation 12. Fuzzy analysis 13. Possibility theory, Probability of fuzzy events 14. Fuzzy logic and approximate reasoning 15. Fuzzy decision making, 16. Fuzzy control, 17. Imprecise optimization 18. Choquet and Sugeno integrals 19. Rough set theory 20. Discussion of other imprecise theories

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The project titled: “The Composition of the Book in Fuzzy Logic Adapted to Stationary and Distance Courses for Advanced Students” has been granted by the Swedish Royal Academy of Sciences in 2007 The following contents of the book “Basic Concepts and Applications of Fuzzy Set Theory” is primarily designed as: Contents 1. Introduction 2. Fuzzy sets 3. Fuzzy and linguistic variables 4. Operations on fuzzy sets 5. T and S Norms 6. Fuzzy measures and measures of fuzziness 7. Extension principles 8. Fuzzy numbers and their arithmetic 9. The L-R, interval and alpha-cut representations of fuzzy numbers 10. Fuzzy relations, The compositional rule of inference 11. The eigen sets of a fuzzy relation 12. Fuzzy analysis 13. Possibility theory, Probability of fuzzy events 14. Fuzzy logic and approximate reasoning 15. Fuzzy decision making, 16. Fuzzy control, 17. Imprecise optimization 18. Choquet and Sugeno integrals 19. Rough set theory 20. Discussion of other imprecise theories

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Available abstract

The project titled: “The Composition of the Book in Fuzzy Logic Adapted to Stationary and Distance Courses for Advanced Students” has been granted by the Swedish Royal Academy of Sciences in 2007 The following contents of the book “Basic Concepts and Applications of Fuzzy Set Theory” is primarily designed as: Contents 1. Introduction 2. Fuzzy sets 3. Fuzzy and linguistic variables 4. Operations on fuzzy sets 5. T and S Norms 6. Fuzzy measures and measures of fuzziness 7. Extension principles 8. Fuzzy numbers and their arithmetic 9. The L-R, interval and alpha-cut representations of fuzzy numbers 10. Fuzzy relations, The compositional rule of inference 11. The eigen sets of a fuzzy relation 12. Fuzzy analysis 13. Possibility theory, Probability of fuzzy events 14. Fuzzy logic and approximate reasoning 15. Fuzzy decision making, 16. Fuzzy control, 17. Imprecise optimization 18. Choquet and Sugeno integrals 19. Rough set theory 20. Discussion of other imprecise theories

Key concepts: Type-2 fuzzy sets and systems, Fuzzy number, Fuzzy classification, Fuzzy set operations, Mathematics, Defuzzification, Fuzzy mathematics, Fuzzy logic

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