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ITHEA Classification Structure > D. Software  > D.1 PROGRAMMING TECHNIQUES  > D.1.5 Object-oriented Programming 
ITHEA Classification Structure > D. Software  > D.3 PROGRAMMING LANGUAGES  > D.3.3 Language Constructs and Features 
ITHEA Classification Structure > E. Data  > E.2 DATA STORAGE REPRESENTATIONS 
ITHEA Classification Structure > F. Theory of Computation  > F.4 MATHEMATICAL LOGIC AND FORMAL LANGUAGES  > F.4.1 Mathematical Logic 
ITHEA Classification Structure > I. Computing Methodologies  > I.2 ARTIFICIAL INTELLIGENCE  > I.2.0 General 
UNIVERSAL AND DETERMINED CONSTRUCTORS OF MULTISETS OF OBJECTS
By: Dmytro Terletskyi (3642 reads)
Rating: (1.00/10)

Abstract: This paper contains analysis of creation of sets and multisets as an approach for modeling of some aspects of human thinking. The creation of sets is considered within constructive object-oriented version of set theory (COOST), from different sides, in particular classical set theory, object-oriented programming (OOP) and development of intelligent information systems (IIS). The main feature of COOST in contrast to other versions of set theory is an opportunity to describe essences of objects more precisely, using their properties and methods, which can be applied to them. That is why this version of set theory is object-oriented and close to OOP. Within COOST, the author proposes universal constructor of multisets of objects that gives us a possibility to create arbitrary multisets of objects. In addition, a few determined constructors of multisets of objects, which allow creating multisets, using strictly defined schemas, also are proposed in the paper. Such constructors are very useful in cases of very big cardinalities of multisets, because they give us an opportunity to calculate a multiplicity of each object and cardinality of multiset before its creation. The proposed constructors of multisets of objects allow us to model in a sense corresponding processes of human thought, that in turn give us an opportunity to develop IIS, using these tools.

Keywords: constructive object-oriented set theory, class of objects, homogeneous class of objects, inhomogeneous class of objects, set of objects, multiset of objects.

ACM Classification Keywords: I.2.0 General – Cognitive simulation, F.4.1 Mathematical Logic – Set theory, D.1.5 Object-oriented Programming, D.3.3 Language Constructs and Features – Abstract data types, Classes and objects, Data types and structures, E.2 Data Storage Representations – Object representation.

Link:

UNIVERSAL AND DETERMINED CONSTRUCTORS OF MULTISETS OF OBJECTS

Dmytro Terletskyi

http://www.foibg.com/ijita/vol21/ijita21-04-p05.pdf

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D.1.5 Object-oriented Programming
article: UNIVERSAL AND DETERMINED CONSTRUCTORS OF MULTISETS OF OBJECTS · A SENSITIVE METRIC OF CLASS COHESION ·
D.3.3 Language Constructs and Features
article: UNIVERSAL AND DETERMINED CONSTRUCTORS OF MULTISETS OF OBJECTS ·
E.2 DATA STORAGE REPRESENTATIONS
article: РАЗРАБОТКА ТЕКСТОВОЙ БАЗЫ НА ОСНОВЕ АНАЛИЗА СТРУКТУРЫ НАУЧНОГО ТЕКСТА · UNIVERSAL AND DETERMINED CONSTRUCTORS OF MULTISETS OF OBJECTS · PECULIARITIES OF LINKED DATA PROCESSING IN SEMANTIC APPLICATIONS · К ВОПРОСУ ЕСТЕСТВЕННО-ЯЗЫКОВОЙ АДРЕСАЦИИ · STORING RDF GRAPHS USING NL-ADDRESSING ·
F.4.1 Mathematical Logic
article: UNIVERSAL AND DETERMINED CONSTRUCTORS OF MULTISETS OF OBJECTS · PROOF COMPLEXITIES OF SOME PROPOSITIONAL FORMULAE CLASSES IN DIFFERENT ... · COMPARISON OF PROOF SIZES IN FREGE SYSTEMS AND SUBSTITUTION FREGE SYSTEMS · ALGORITHMIZATION PROCESS FOR FRACTAL ANALYSIS IN THE CHAOTIC DYNAMICS OF ... · ON PROBLEM OF ADEQUACY OF MULTISET MATHEMATICAL MODELS · PROOF COMPLEXITIES OF SOME PROPOSITIONAL FORMULAE CLASSES IN DIFFERENT ... · ACCOUNTING IN THEORETICAL GENETICS · СЕМАНТИЧЕСКИЕ СВОЙСТВА И СЕКВЕНЦИАЛЬНЫЕ ИС · МОДАЛЬНЫЕ ЛОГИКИ ЧАСТИЧНЫХ ПРЕДИКАТОВ И СЕ� · CONTRADICTION VERSUS SELFCONTRADICTION IN FUZZY LOGIC* · A GEOMETRICAL INTERPRETATION TO DEFINE CONTRADICTION ·
I.2.0 General
article: SOFTWARE MODEL COGNITIVE VALUE · SYNTACTIC OPERATIONS – MODELING LANGUAGE FACULTY · ON MENTAL REPRESENTATIONS: LANGUAGE STRUCTURE AND MEANING REVISED · THE ARGUMENT BASED COMPUTATION: SOLVING THE BINDING PROBLEM · UNIVERSAL AND DETERMINED CONSTRUCTORS OF MULTISETS OF OBJECTS · Enhanced Cart Technologies in Partial Synthetic Data Generation · BRIEF ANALYZIS OF TECHNIQUE FOR PRIVACY PRESERVING COMPUTATION · COGNITIVE MODELLING AS THE INSTRUMENT IN THE COURSE OF KNOWLEDGE OF LARGE SYSTEM · GOD-ICS. ON FUNDAMENTAL INFORMATION FIELD QUEST · CONSCIOUSNESS: MAGIC, PSYCHOLOGY AND PHYSICS · MULTI-MODAL EMOTION RECOGNITION – MORE "COGNITIVE" MACHINES · SECOND ATTEMPT TO BUILD A MODEL OF THE TIC-TAC-TOE GAME 1 · CONSCIOUSNESS: MAGIC, PSYCHOLOGY AND PHYSICS · PARALLEL BETWEEN DEFINITION OF CHESS PLAYING PROGRAM AND DEFINITION OF AI 2 · TOWARDS THE NOOSPHERE OF INTANGIBLE (ESOTERICISM FROM MATERIALISTIC VIEWPOINT) · INFORMATICS, PSYCHOLOGY, SPIRITUAL LIFE · FORMAL DEFINITION OF ARTIFICIAL INTELLIGENCE 1 · CONCEPTUAL IDEA OF IDENTIFICATION OF PATTERNS AND PROBLEM SOLVING ... · TWO FUNDAMENTAL PROBLEMS CONNECTED WITH AI 1 ·
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