Multi-valued Logic Applications (FSI-SAL)

Academic year 2023/2024
Supervisor: prof. RNDr. Miloslav Druckmüller, CSc.  
Supervising institute: ÚM all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:

The aim of the course is to introduce the methods of fuzzy logic and the proposition of expert systems. Next, students will learn to design a simple system based on machine learning and will learn the theoretical and practical basics of neural networks.

Learning outcomes and competences:

1.Terminology and explanation of the concepts of many-valued logic.
2. ntroducing word models, designing an expert system.
3. Machine learning methods.
4. Neural networks (NN) - basic properties and concepts.
5. Use of NN for analysis of text, speech, image (CNN). Design your own neural network without even using pre-trained models.

Prerequisites:

Mathematical logic, Fuzzy set theory.

Course contents:

The course is designed for students of mathematical engineering and contains the theory of fuzzy logic, linguistic variables and linguistic models and the theory of expert systems. The subject also includes the practical design of an expert system based on Lukasiewicz or Mamdani logic.

The second part of the course is devoted to machine learning and neural networks, which are used for modern applications of expert systems. Students become familiar with basic terminology, other types and their use for applications (speech, image, etc. analysis).

Teaching methods and criteria:
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes:

Graded assessment based on submission of semester work (70 percent) and oral exam of the given theory (30 percent).

Controlled participation in lessons:

Participation on lessons is compulsory, in case of absence it is necessary to work out substitute work.

Type of course unit:
    Lecture  13 × 2 hrs. compulsory                  
    Computer-assisted exercise  13 × 1 hrs. compulsory                  
Course curriculum:
    Lecture

1. Multi-valued logic, formulae.
2. T-norms, T-conorms, generalized implications.
3. Linguistic variables and linguistic models, knowledge bases of expert systems.
4. Lukasiewicz logic, Mamdani principle.
5. Inference techniques and its implementation, redundance and contradictions in knowledge bases, Fuzzification and defuzzification problem.
6. Expert system project.
7.Machine learning (decisiton trees, kNN, SVM).
8.-9. Text mining, chatbot
10. Neural network elementary principles, Deep Learning.
11. Convolutional Neural Network (CNN).
12.-13. Semestral work, consultation. 

    Computer-assisted exercise

Topics for work in exercises are closely related to the lectures. As part of the computer exercises, particular areas will be implemented in Matlab software, event. Python. IBM Watson Assistant will be used to design the chatbot. 


1. Multi-valued logic, formulae.
2. T-norms, T-conorms, generalized implications.
3. Linguistic variables and linguistic models, knowledge bases of expert systems.
4. Lukasiewicz logic, Mamdani principle.
5. Inference techniques and its implementation, redundance and contradictions in knowledge bases, Fuzzification and defuzzification problem.
6. Expert system project.
7.Machine learning (decisiton trees, kNN, SVM).
8.-9. Text mining, chatbot
10. Neural network elementary principles, Deep Learning.
11. Convolutional Neural Network (CNN).
12.-13. Semestral work, consultation. 

Literature - fundamental:
4. Druckmüller, M.: Technické aplikace vícehodnotové logiky, PC- DIR , Brno 1998
Literature - recommended:
1. Neural Networks and Deep Learning. Online. Michael Nielsen, 2015. Dostupné z: http://neuralnetworksanddeeplearning.com/. [cit. 2023-10-30].
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
N-MAI-P full-time study --- no specialisation -- GCr 4 Compulsory 2 2 W