Adobe PDF
(1.16 MB)
| Title Details: | |
|
Set Theory |
|
| Authors: |
Georgiou, Dimitrios Antoniou, Efstathios Chatzimichailidis, Anestis |
| Reviewer: |
Soudris, Dimitrios |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > MATHEMATICAL LOGIC AND FOUNDATIONS > SET THEORY |
| Keywords: |
Relations
Sets Mappings Inclusions |
| Description: | |
| Abstract: |
Set theory that studies sets, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. In this chapter the set theory under the classical interception fo a set is considered, althought basic information about fuzzy sets and their quantitative representation is given.
|
| Table of Contents: |
Introduction to Set Theory - Crispy sets - Axiom scalability - Axioms of empty set and pair - Axiom of specialization or separation; Axiom of power set - Axiom of union - Axiom of infinity - Function selection - Cartesian product - Operations of sets - Algebra of Sets - Laws of algebra of sets - Equality of sets - The concept of Fuzziness Fuzzy sets - Forms of membership functions - Operations on Fuzzy elements.
|
| Linguistic Editors: |
Kioseoglou, Nerina Tromara, Sofia |
| Technical Editors: |
Stragali, Faidra Yfantidou, Georgia |
| Type: |
Chapter |
| Creation Date: | 21-12-2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Spatial Coverage: |
Without spatial limitations |
| Temporal Coverage: |
Without time limits |
| Handle | http://hdl.handle.net/11419/458 |
| Bibliographic Reference: | Georgiou, D., Antoniou, E., & Chatzimichailidis, A. (2015). Set Theory [Chapter]. In Georgiou, D., Antoniou, E., & Chatzimichailidis, A. 2015. Discrete Mathematical Structures in Computer Science [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/458 |
| Language: |
Greek |
| Is Part of: |
Discrete Mathematical Structures in Computer Science |
| Number of pages |
29 |
| Typical Learning Time: |
PT03H00M00S |
| Version: |
1st Edition |
| Publication Origin: |
Kallipos, Open Academic Editions |