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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: 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. chapter 1. http://hdl.handle.net/11419/458
Language: Greek
Is Part of: Discrete Mathematical Structures in Computer Science
Typical Learning Time: PT03H00M00S
Version: 1st Edition
Publication Origin: Kallipos, Open Academic Editions