Structuredness (recursive structuredness) of knowledge. variety of elements and the difference in their nature

Lecture 4. Data and knowledge

The relationship between data and knowledge is always of interest, in particular the presentation (ways of formalization) of both, the model of data and knowledge presentation, since data and knowledge is a form of information presentation in a computer (Fig. 1.17).
The information with which the computer deals is divided into procedural and declarative.

Procedural information is embodied in programs that are executed in the process of solving problems, declarative information - in the data with which these programs work (Fig. 1.18).

The standard form of information representation in a computer is a machine word, consisting of a number of binary digits - bits defined for a given type of computer. In some cases, machine words are divided into groups of eight binary bits, which are called bytes.

The same number of bits in machine words for commands and data allows them to be considered in a computer as identical information units (IE) and to perform operations on commands as on data. The contents of the memory form an information base (Fig. 1.19).

For the convenience of comparing data and knowledge, the main forms (levels) of the existence of knowledge and data can be distinguished. As presented in table. 1.2, data and knowledge have a lot in common. However, knowledge has a more complex structure, and the transition from data to knowledge is a natural consequence of the development and complication of information structures processed on a computer.

Data

In parallel with the development of the computer structure, the development of information structures for data presentation took place.

There are ways of describing data in the form of vectors, matrices, list structures, hierarchical structures, structures created by the programmer (abstract data types).

Currently, high-level programming languages \u200b\u200buse abstract data types, the structure of which is created by the programmer. The advent of databases (DB) marked another step towards organizing work with declarative information.

With the development of research in the field of InS, knowledge concept,which combined many features of procedural and declarative information.
Today the terms "database", "information intelligent system", like many other terms of informatics, have become widely used. The reason for this is the general awareness (social need) of the need for intensive introduction of computers and other means of automated information processing in the most diverse areas of modern society. The beginning of the last quarter of this century can rightfully be called the beginning of an era of new information technology - technology supported by automated information InS.

The relevance of the problematics of InS and underlying databases is determined not only by social need, but also by the scientific and technical possibility of solving classes of problems related to satisfying the information needs of various categories of users (including both a person and a software-controlled device). This opportunity arose (approximately at the turn of the 70s) thanks to significant advances in the field of hardware and software for computing systems.

The database as a natural science concept is characterized by two main aspects: informational and manipulation. The first aspect reflects such data structuring, which is most suitable for providing information needs arising in the domain (software). Each software is associated with a set of "information objects", links between them (for example, "suppliers", "product range", "consumers" - categories of information objects, and "supply" - the type of relations that take place between these objects), and also the tasks of their processing. The manipulation aspect of the database concerns the meaning of those actions on data structures, with the help of which various components are selected from them, new ones are added, deleted and updated obsolete data structure components, as well as their transformation.
A database management system (DBMS) is a set of tools (language, software and, possibly, hardware) that support a certain type of database. The main purpose of the DBMS, from the point of view of users, is to provide them with tools that allow them to operate with data in abstract terms (names and / or characteristics of information objects) that are not related to methods of storing data in computer memory. It should be noted that DBMS tools may, generally speaking, not be enough to solve all the tasks of a particular software. Therefore, in practice, it is necessary to adapt (supplement, tune) the DBMS tools to provide the required capabilities. The systems obtained by adapting the DBMS to this software belong to InS.

A viable InS, i.e., capable of supporting the database model, taking into account the dynamics of software development, should, if necessary, contain a DBMS as its core. The INS design methodology developed to date (from the DB point of view) includes four main tasks:

1) system analysis of software, specification of information objects and relationships between them (as a result, a so-called conceptual, or semantic, software model is developed);

2) building a database model that provides an adequate representation of the conceptual software model;

3) development of a DBMS that supports the selected database model;

4) functional expansion (through some programming system) of the DBMS in order to provide the ability to solve the required class of problems, i.e. data processing tasks specific to this software.

Knowledge

Let us consider the general set of qualitative properties for knowledge (specific features of knowledge) and list a number of features inherent in this form of information presentation in a computer and that allow us to characterize the term “knowledge” itself.

First of all, knowledge has a more complex structure than data (metadata). At the same time, knowledge is set both extensionally (i.e., through a set of specific facts corresponding to a given concept and relating to the subject area), and intensionally (i.e., through properties corresponding to a given concept, and a scheme of relations between attributes).

With that said, let's list the properties.

Internal interpretability of knowledge.

Each information unit (IE) must have a unique name by which the IS finds it, and also responds to requests in which this name is mentioned. When the data stored in memory was stripped of names, there was no way to identify them by the system. Only the program could identify the data.
If, for example, in the computer memory it was necessary to record information about university students presented in Table. 1.10, then without internal interpretation, a set of four machine words corresponding to the rows of this table would have been written into the computer memory.
At the same time, the system does not have information about what groups of binary digits in these machine words are encoded information about students. They are known only to the programmer.
During the transition to knowledge, information about a certain protostructure of information units is entered into the computer memory. In the example under consideration, it is a special machine word that indicates in which bits the information about surnames, years of birth, specialties and course is stored. In this case, special dictionaries must be specified, which list the surnames, year of birth, specialties and course names in the system memory. All these attributes can play the role of names for those machine words that correspond to the rows of the table. They can be used to search for the information you need. Each row of the table will be an instance of a protostructure. Currently, DBMS provide implementation of the internal interpretability of all IE stored in the database.

Examples of simple groups:

· address (zip code, city, street, house, apartment);

· date (day, month, day);

· person (surname, name, patronymic);

· product (name, code, grade, size).

Examples of complex groups:

driver (person, car);

addressee (address, person).

Intermediate components are called in groups , moreover, those that consist only of details are called simple, and those that contain other components are called complex.

Indicators.

An indicator is a structural unit of information consisting of one attribute of the basis, reflecting a particular fact in a quantitative assessment, and a number of attributes-attributes (time, place, characters, objects of labor, etc.) that characterize it and associated logical relationships with it. ...

The general view of the indicator can be presented as follows:

П \u003d (P 1, P 2 ... P n, Q),

where P 1, P 2 ... P n - attributes-signs; and Q is the base variable.

One of the reasons for separating indicators into a special kind of structural units of information is that the indicator is essentially the minimum composition of the population, retaining information content, and therefore sufficient for the formation of an independent document.

For an indicator, a name (identifier), structure or form, and value are also distinguished.

The structure of an indicator is called its requisite composition.

The value of the indicator is a certain structure in which each variable included in the indicator is assigned a specific value from the corresponding domain of definition.

When classifying indicators, the following aspects are highlighted:

· An object, the state of which is reflected by the indicator;

· State of objects;

· Unit of measurement of the base;

· Stability of the indicator values.

To the most common groupings on the basis of "object" the indicators that determine the population, natural resources, social product, structural units (the number of enterprises, organizations, territorial entities, etc.) are classified.

Of particular interest in this group are indicators with a base value equal to one, in which the phenomenon of a veiled base is observed before the processing process.

Such exponents will be called Boolean. A feature of the Boolean indicator is the alternativeness of the value of its base, which is reduced to one of two values: one or zero. At the first meaning the indicator, as it were, is subject to registration due to the presence of the observed object and its inherent features. At the second, zero, value, as it were, the absence of these signs is established, and, consequently, the entire unit of observation. With outward simplicity, Boolean indicators make it possible to carry out generalization, aggregation, as a result of which enlarged indicators are created.

On the basis of "state" indicators are subdivided into static, characterizing the displayed object or its properties at a certain point in time (for example, the number of employees, the price of products, the tariff for services, etc.), and dynamic characterizing the processes of activity or the change in the state of the displayed object over a certain period of time (for example, the movement of labor resources, changes in natural resources, etc. ).

When classifying indicators based on "base units" stand out absolute and relative indicators.

Absolute indicators are called, the bases of which are obtained by direct counting, measurement and weighing, algebraic summation of other absolute indicators, as well as various average absolute indicators.

In number relative includes indicators, the base values \u200b\u200bof which are obtained by the ratio of the bases of the other two indicators (for example, structure indicators characterizing the specific weight of a part as a whole, intensity indicators, namely, capital productivity, material consumption, labor productivity, etc.) and relative average indicators.

When classifying on the basis of stability distinguish variables and permanent indicators. In the group of constant indicators, there are normative indicators (norms, standards, rates, prices, constant coefficients and interest rates).

Information space of economic objects

The information space of some object is understood as the totality of all information components of this object or a set of objects, regardless of the methods and means of displaying these components.

One of the most important characteristics of the information space is the degree of its structuredness.

Structurality is understood as a property of an information space, in which all the content and features of this space are represented by its components and the relationships between them, expressed in an explicit form.

Depending on the degree of structuredness of the information space, the following five types of it are distinguished.

Unstructured space - this is one for which it is characteristic that the structuredness of its components of information is rare.

An example of an unstructured information space is spoken language, although some elements of structuredness may be present in it.

Weakly structured information space one in which only individual components are fully structured.


An example is a written language in which syntax rules are followed.

Structured information spacecharacterized by a significant predominance of structured components, the information in it is documented, coding is widely used to provide an unambiguous interpretation of certain concepts. An example is the economic information system.

Formally structured information space - this is a space where descriptions of information formations exist in an explicit form, in which not only information structures and connections are defined, but also algorithms for obtaining the values \u200b\u200bof any data element.

Machine-structured information space - this is the one in which all information formations are described, including the forms of input and output documents. A typical example is a database.

Verification tests for topic 1

1. Props are:

a) Data value

b) Characteristics of the determined property of the object

c) Composite unit of information

d) Collection of records

e) Data set

2. Economic information is classified by management functions into

b) primary and secondary

3. Economic information is classified by the way of education on

a) planned, accounting, analytical, management

b) primary and secondary

c) excessive, complete and insufficient

d) reliable and unreliable

e) constant, conditionally constant and variable

4. Economic information is classified by information saturation at

a) planned, accounting, analytical, management

b) primary and secondary

c) excessive, complete and insufficient

d) reliable and unreliable

e) constant, conditionally constant and variable

5. Economic information is classified according to the objectivity of reflection on

a) planned, accounting, analytical, management

b) primary and secondary

c) excessive, complete and insufficient

d) reliable and unreliable

e) constant, conditionally constant and variable

6. Economic information is classified by stability into

a) planned, accounting, analytical, management

b) primary and secondary

c) excessive, complete and insufficient

d) reliable and unreliable

e) constant, conditionally constant and variable

7. Economic information is classified by place of origin and use at

a) planned, accounting, analytical, management

b) primary and secondary

c) excessive, complete and insufficient

d) reliable and unreliable

e) incoming, outgoing and internal

8. What models of knowledge representation exist?

a) frame models

b) nomenclature models

c) production models

d) semantic network models

e) logical models

A characteristic property of the information space is its structuredness. This means that its elements are highlighted, connections between them are established, designations are introduced, elements and connections are ordered. The property of structuredness in different types of information spaces can be expressed to varying degrees. The high level provides the ability to present information in the form of documents and manipulate data using the software and hardware of information systems.

Khotshov E.N. and Korolev M.A. there are five degrees of IP structuring:

Unstructured IP (NIP);

Weakly structured (SIPP);

Structured (SIP);

Formalized-structured (FSIP);

Machine-structured (MSIP).

Let us consider in more detail the signs of the degrees of structuredness.

NPC - signs of structuring are extremely rare, an example is human speech, the transmission of messages in the animal world from individual to individual.

SSIP - the components of structuring do not have a complete form, it is a natural written language, where the signs of structuring are grammatical rules, which are often ambiguous, contradictory, have exceptions, not strict enough, etc.

SIP is distinguished by the predominance of structured components, coding is introduced, information is documented; this is information prepared for "loading" into the information system.

FSIP - there are such specifications of information objects and their relationships, which contain algorithms for obtaining any values \u200b\u200bof data elements; data management operations are provided, reorganization and optimization of the EIS structure, as well as information processing algorithms are possible.

MSIP - all information objects and their interconnections are presented in a formalized form, information transformation processes are described in programming languages, interaction between the user and the EIS is provided in a natural or close to natural language or according to extremely simplified rules.

Elements of the information space structure.

Indicator concept

Units of information act as elements of the information space structure. This concept, which is considered in the theory of economic information systems (EIS), expresses the essential or semantic content of the IP element. A unit of information (3) is understood as "a set of symbols to which a certain meaning is attached." The system of units of information is considered, which has a rather complex hierarchical structure. Several levels of information units are distinguished depending on the semantic (semantic) meaning, its fullness.

In ascending order of meaningfulness of the concept, the following units of information are defined: an attribute and a composite unit of information (SEI), which includes such units as an indicator and a database.

The elementary unit of information of the lower level is the props. This is an informational display of a property of an object, a process or phenomenon. Messages consist of definitions of properties of objects, objects, phenomena, which are formed in some way from the corresponding requisites. It should be noted that a synonym for attribute is an attribute, a term widely used in the database literature.

Hence, a composite unit of information is collected from a set of attributes corresponding to the definition of a given object and represents an information display of an object or its part.

A kind of composite unit of information is an indicator. This is a complex concept. There are various definitions of it. Some authors emphasize the essential meaning or character tied to the subject area, in particular the economic one. Others take a formal structured approach, focused on structuring the information contained in the indicator in order to adapt its structure for effective use in the information system. The results of such structuring are also used in information and analytical systems.

Let us give in this context the definition of the formal-structural approach according to M.A. Korolev. in the interpretation (presentation) of Yasin E.G. "The indicator represents a statement with a complete meaning, including both the name of the variable and its specific quantitative value with all the qualitative features necessary to identify the latter." The indicator is formed from a set of attributes or terms.

The requisites are in two groups:

Attributes-signs expressing the qualitative differences of the indicator, its semantic content, in particular economic;

Foundation details containing the quantitative values \u200b\u200bof the indicator.

The indicator loses its meaning without any of the named requisites. Taken together, they form a statement (message) that has a complete objective meaning, which allows us to assert that the indicator is the smallest composite unit of information that is sufficient for document formation, transmission, storage and perception of messages.

When structuring the information space, a system of indicators is developed, their own structure is analyzed. In the course of this work, it is necessary to investigate general patterns, identify categories of indicators - members of the general structural formula for describing indicators.

In general, the structure of the indicator is as follows: P →R, x〉, Where:

Р - indicator (can be economic);

R is a set of requisites (terms) that identify the semantic value of the indicator;

x - quantitative or qualitative value of the indicator.

The identifier, in turn, can be represented in the form of two parts:

R →S,Q〉, Where:

S - the name of the indicator, made up of the requisites, revealing its objective meaning;

Q - additional indicators of the indicator, also composed of details and clarifying its quantitative value.

The selected details can in turn be composite. To clarify the connections between them, diagrams are built that detail the object to such an extent that further detailing is impossible or does not make sense. The lowest-level requisites are called single. Others, located at higher levels, are multiple.

We will carry out further analysis, starting with additional features. They can consist of:

E - units of measurement, there may be several of them in the indicator;

С - subjects, these can be the names of subjects and objects of economic activity, regions, location of the enterprise and other objects;

B - time or details that determine the time aspect - moments of the origin of events, periods of time during the course of economic or other processes, phenomena;

Y is a sign of the accounting stage or, as stated in (9), management functions, that is, planned, actual, normative or any other values \u200b\u200bof the indicator.

We represent this structure as a ratio:

Q →E,FROM,IN,Have〉,

in this way R →SE,FROM,IN,Have〉〉

The name of the indicator can be merged (defined by one variable) or have its own structure and, in turn, consist of details, such as:

F is a formal (calculated) characteristic of an indicator that reveals its structure or an algorithm for aggregating the initial detailed data, for example, sales volume, average, maximum value of a particular value (the calculation method is implied);

P - designation of the displayed technological or business process, for example, production, sale, transportation, etc.

О - object of measurement, counting - types of goods, equipment, employees by category or by total.

Then S →F,P,ABOUT

Thus, the general structural formula of the indicator will take the form:

P

R →

S →<Ф ,P,About\u003e

Q →<Е ,FROM,IN,Y\u003e

R →<<Ф ,P,O\u003e,<Е ,FROM,IN,Y \u003e\u003e

P →<<Ф ,P,O\u003e,<Е ,FROM,IN,Y\u003e, x\u003e

This structure, presented in table 2.1, can display almost any indicator.

Table 2.1

R
S Q
F P ABOUT E FROM IN Have
R
F P ABOUT E FROM IN Have x

Components such as melange, tea leaves, sourdough, liquid dough semi-finished products are much more difficult to dose due to the peculiarities of structural, mechanical, physical and biochemical properties. For example, fermented liquid sponge has pronounced structural properties, contains a significant amount of gas inclusions, and has variable viscosity and density. This is due to the fact that the structure of the liquid sponge is created due to the appearance and growth of gas bubbles of carbon dioxide, formed near the colonies of yeast cells during alcoholic fermentation and retained in the liquid phase by the gluten framework of flour proteins. The volume of gas bubbles grows until, under the action of the Archimedean force, they begin to float. Gas bubbles that have reached the surface are destroyed, instead of these gas inclusions in the mass of the liquid phase, new ones are formed, which leads to an uneven distribution of gas inclusions in the liquid phase of the sponge.

The paddle dispenser is used in bunker dough preparation units for dosing and feeding dough. The installation consists of a paddle meter and a drive, which are mounted on a plate. The drive is covered with a cover. Inside the cast iron housing of the metering unit, the rotor is located eccentrically. Four retractable gates are inserted into the grooves of the rotor, interconnected by pushers, freely moving in the rotor holes. The body flange is attached to the discharge hopper flange, and the test line flange is attached to the flange. The fermented dough enters from the top and fills the inside of the housing. When the rotor rotates, the dough is captured by the gates and pumped into the outlet pipe. By changing the rotor speed with a speed variator, it is possible to adjust the dispenser capacity in the range of 7.5 ... 35 l / min.

The installation of the combined type makes it possible to significantly increase the dosing accuracy of structured components by carrying out a number of preparatory operations, consisting in the destruction of the structure and stabilization of the density. As a result, the density of the dough does not change over time.

The installation consists of the following units: a gear pump, which ensures the destruction of the macrostructure of the gluten framework of the dough during operation, its preliminary compression and forced feed into the measuring cylinder of the piston dispenser; a line for supplying a liquid sponge to the dispenser, in which carbon dioxide in the liquid phase partially dissolves (absorbs), as a result of which the density of the sponge is stabilized; return lines of excess liquid dough to the fermentation tank; a crane that provides regulation of the amount of returned dough; piston dispenser with valve distributor; line for supplying liquid dough for kneading dough.

The pump has working cogwheels made of nylon and at a flow rate of 20 ... 25 l / min develops a pressure of up to 0.25 MPa. To exclude areas of increased pressure, which appear during compression of liquid dough in the cavities between the teeth and lead to the destruction of the microstructure of the semi-finished product, the impellers have a guaranteed clearance between the teeth.

Studies have shown that the duration t of holding the liquid sourdough in the injection line affects the flow rate deviations to a much lesser extent than the pressure. Therefore, in the dosing installation, the line is designed for dough to stay in it for 2 ... 3 minutes. During this time, part of the gas inclusions, mainly carbon dioxide, dissolves in the liquid phase, and the volume of the remaining undissolved gas decreases under the influence of increased pressure.

The line ensures the discharge of excess liquid dough supplied by the gear pump at the moments of the discharge cycle when the suction valve of the piston dispenser is closed.

With volumetric dosing, a pressure drop can occur during the suction cycle, causing gas to evolve and drastically reducing the flow of these components. The performance of the gear pump should be 10 ... 15% higher than the maximum performance of the piston batcher. In this case, the pressure drop in the system at the time of the suction cycle is small and the vacuum in the metering cylinder is completely eliminated.

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