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Wyszukujesz frazę "arithmetic" wg kryterium: Temat


Wyświetlanie 1-6 z 6
Tytuł:
Is an interval the right result of arithmetic operations on intervals?
Autorzy:
Piegat, A.
Landowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/330098.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interval arithmetic
one dimensional interval arithmetic
multidimensional interval arithmetic
RDM interval arithmetic
arytmetyka interwałowa
arytmetyka interwałowa jednowymiarowa
arytmetyka interwałowa wielowymiarowa
Opis:
For many scientists interval arithmetic (IA, I arithmetic) seems to be easy and simple. However, this is not true. Interval arithmetic is complicated. This is confirmed by the fact that, for years, new, alternative versions of this arithmetic have been created and published. These new versions tried to remove shortcomings and weaknesses of previously proposed options of the arithmetic, which decreased the prestige not only of interval arithmetic itself, but also of fuzzy arithmetic, which, to a great extent, is based on it. In our opinion, the main reason for the observed shortcomings of the present IA is the assumption that the direct result of arithmetic operations on intervals is also an interval. However, the interval is not a direct result but only a simplified representative (indicator) of the result. This hypothesis seems surprising, but investigations prove that it is true. The paper shows what conditions should be satisfied by the result of interval arithmetic operations to call it a “result”, how great its dimensionality is, how to perform arithmetic operations and solve equations. Examples illustrate the proposed method of interval computations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 575-590
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computing with words with the use of inverse RDM models of membership functions
Autorzy:
Piegat, A.
Pluciński, M.
Powiązania:
https://bibliotekanauki.pl/articles/330406.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
computing with words
fuzzy arithmetic
RDM fuzzy arithmetic
granular computing
Opis:
Computing with words is a way to artificial, human-like thinking. The paper shows some new possibilities of solving difficult problems of computing with words which are offered by relative-distance-measure RDM models of fuzzy membership functions. Such models are based on RDM interval arithmetic. The way of calculation with words was shown using a specific problem of flight delay formulated by Lotfi Zadeh. The problem seems easy at first sight, but according to the authors’ knowledge it has not been solved yet. Results produced with the achieved solution were tested. The investigations also showed that computing with words sometimes offers possibilities of achieving better problem solutions than with the human mind.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 675-688
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy number division and the multi-granularity phenomenon
Autorzy:
Piegat, A.
Pluciński, M.
Powiązania:
https://bibliotekanauki.pl/articles/202398.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
granular computing
fuzzy arithmetic
fuzzy calculations
RDM fuzzy arithmetic
horizontal membership function
przetwarzanie ziarniste
arytmetyka liczb rozmytych
RDM
funkcja przynależności poziomej
Opis:
The paper presents difficulties connected with fuzzy and interval division. If operations such as fuzzy addition, subtraction and multiplication provide as a result one compact, multidimensional granule, then a result of the fuzzy division can consists of few separated granules. Such results are more difficult to use in next calculations. The paper shows that the number of solution granules can be higher than 2 and that in certain problems division does not occur explicitly. In certain problems, separation of particular solution granules can be considerable. The paper also shows how to realize the fuzzy division when its denominator contains zero. Most types of fuzzy arithmetics forbid such operation. However, the paper shows that it is possible. Multidimensional fuzzy RDM arithmetic and horizontal membership functions which facilitate detecting of solution granules are also described. The considered problems are visualized by examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2017, 65, 4; 497-511
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A New Definition of the Fuzzy Set
Autorzy:
Piegat, A.
Powiązania:
https://bibliotekanauki.pl/articles/908479.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
zbiór rozmyty
prawdopodobieństwo
arytmetyka rozmyta
fuzzy set theory
fuzzy arithmetic
possibility
Opis:
The present fuzzy arithmetic based on Zadeh's possibilistic extension principle and on the classic definition of a fuzzy set has many essential drawbacks. Therefore its application to the solution of practical tasks is limited. In the paper a new definition of the fuzzy set is presented. The definition allows for a considerable fuzziness decrease in the number of arithmetic operations in comparison with the results produced by the present fuzzy arithmetic.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 1; 125-140
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On practical problems with the explanation of the difference between possibility and probability
Autorzy:
Piegat, A.
Powiązania:
https://bibliotekanauki.pl/articles/970096.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
system rozmyty
arytmetyka rozmyta
możliwość
prawdopodobieństwo
fuzzy systems
fuzzy arithmetic
possibility
probability
Opis:
In his famous paper "Fuzzy Sets as a Basis for a Theory of Possibility" (Zadeh, 1978) Professor Lofti Zadeh introduced the notion of possibility distribution [pi]x and tlie concept of possibility measure. He denned in the paper the possibility distribution function to be numerically equal to the membership function ([pi]x = [my]F). In this paper Professor Zadeh draws the special attention of the reader to the fact that: "... there is a fundamental difference between probability and possibility". To explain this difference he had given a special example illustrating the difference, which then was cited by many authors of books on Fuzzy Set Theory and gained great importance for understanding the notion of possibility. In the paper the author presents his doubts as to this important example, explains why it is incorrect and gives a correct version of the example based on the notion of possibility distribution of Dubois and Prade.
Źródło:
Control and Cybernetics; 2005, 34, 2; 505-524
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
What is not clear in fuzzy control systems?
Autorzy:
Piegat, A.
Powiązania:
https://bibliotekanauki.pl/articles/908467.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie rozmyte
system rozmyty
arytmetyka rozmyta
logika rozmyta
możliwość
fuzzy control
fuzzy systems
fuzzy arithmetic
fuzzy logic
necessity
possibility
Opis:
The paper presents a number of unclear, unsolved or partly solved problems of fuzzy logic, which hinder precise transformation of expert knowledge about proper control of a plant in a fuzzy controller. These vague problems comprise the realization of logical and arithmetic operations and another basic problem, i.e., the construction of membership functions. The paper also indicates how some of the above problems can be solved.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 1; 37-49
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

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