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

Document type: Miscellaneous
Author(s): Elisabeth Rakus-Andersson
Title: The Composition of the Book in Fuzzy Logic Adapted to Stationary and Distance Courses for Advanced Students
Type of publication: Scientific grant obtained from the Swedish Royal Academy of Sciences in the class Mathematics
Year: 2007
Organization: Blekinge Institute of Technology
Department: School of Engineering - Dept. Mathematics and Science (Sektionen för teknik – avd. för matematik och naturvetenskap)
School of Engineering S- 371 79 Karlskrona
+46 455 38 50 00
http://www.tek.bth.se/
Authors e-mail: Elisabeth.Andersson@bth.se
Language: English
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
Subject: Mathematics\General
Mathematics\Analysis
Edit