Course Catalog 2009-2010
Basic

Basic Pori International Postgraduate Open University

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Course Catalog 2009-2010

MAT-42106 Applied logics, 5 cr

Person responsible

Esko Turunen

Implementations

  Lecture times and places Target group recommended to
Implementation 1

Periods 1 1 - 2

 
3.-n. vuosikurssi
DI-Opiskelijat
Jatko-opiskelijat  


Requirements

Examination or partial examinations.
Completion parts must belong to the same implementation

Principles and baselines related to teaching and learning

-

Learning outcomes

Introduction to data mining, in particular to the GUHA-method and its applications. Application of these methods to real world problems. Introduction to mathematical foundations and applications of various non-classical logics.

Content

Content Core content Complementary knowledge Specialist knowledge
1. Introduction to data mining; does my data contain something interesting I did not know? The GUHA method: data matrices as finite models, 'almost all', 'in most cases', 'above average' and other non-standard quantifiers.   Introduction to LISpMiner, a software implementation of the GUHA method. Practical data mining tasks by LISp Miner.   
2. Introduction to mathematical fuzzy logic; real life situations where neither black-or-white logic nor statistical methods are applicable.  Graded similarity as a base of fuzzy reasoning. Fuzzy IF-THEN rules. Constructing real world applications by means of multiple valued logic. Para consistent logic in solving decision making problems.    
3. Monoidal Logic as a basis of various non-standard logics: linear logic, intuitionistic logic, basic fuzzy logic, Lukasiewicz logic.  Residuated lattices, Girard monoids, Heyting algebras, BL-algebras, Wajsberg algebras and MV-algebras. Semantics, syntax and completeness of various non-standard logics.   


Study material

Type Name Author ISBN URL Edition, availability, ... Examination material Language
Book   Mathematics behind Fuzzy Logic   Esko Turunen   3-7908-1221-8     Springer-Verlag, 1999, ISBN 3-7908-1221-8      English  
Other online content   LISpMiner   Jan Rauch            English  
Online book   Mechanizing hypothesis formation   Hajek, P., Havranek, T.            English  


Prerequisite relations (Requires logging in to POP)

Correspondence of content

Course Corresponds course  Description 
MAT-42106 Applied logics, 5 cr MAT-42107 Applied Logics, 2-6 cr  
MAT-42106 Applied logics, 5 cr MAT-42100 Applied logics, 5 cr  

Additional information

The course is composed of three separate topics that can be studied independently from each other. The parts are: I Data mining - the GUHA method. II Fuzzy logic - theory and applications. III Many-valued logics.

More precise information per implementation

  Description Methods of instruction Implementation
Implementation 1   Lectures
Excercises
Laboratory assignments
   
Contact teaching: 0 %
Distance learning: 0 %
Self-directed learning: 0 %  


Last modified13.03.2009
ModifierEsko Turunen