Course Catalog 2012-2013
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Basic Pori International Postgraduate Open University

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Course Catalog 2012-2013

MAT-42106 Applied logics, 5 cr

Additional information

It is possible to take three separate parts of the course, each to the extent of 2 credits. However, only the largest extent of the course can be included in a M. Sc. or PhD. degree. In case there are several entries of different implementation rounds the credits of independent parts will be summed up.
Suitable for postgraduate studies
Will not be lectured year 2012-2013

Person responsible

Esko Turunen

Requirements

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

Principles and baselines related to teaching and learning

-

Learning outcomes

The student will know the aim and principles of (1) data mining, in particular to the GUHA-method and its applications and (2) mathematical foundations and (3) 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  

Last modified21.03.2012