Autor: Piegat, A. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

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Skocz do pozycji: 2.

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

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Skocz do pozycji: 3.

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

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

Tytuł:: Optimal estimator of hypothesis probability for data mining problems with small samples
Autorzy:: Piegat, A
Landowski, M.
Powiązania:: https://bibliotekanauki.pl/articles/330967.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: estymacja prawdopodobieństwa
interpretacja częstotliwości prawdopodobieństwa
interpretacja kompletności prawdopodobieństwa
teoria niepewności
single case problem
probability estimation
frequency interpretation of probability
completeness interpretation of probability
uncertainty theory
Opis:: The paper presents a new (to the best of the authors' knowledge) estimator of probability called the "[...] completeness estimator" along with a theoretical derivation of its optimality. The estimator is especially suitable for a small number of sample items, which is the feature of many real problems characterized by data insufficiency. The control parameter of the estimator is not assumed in an a priori, subjective way, but was determined on the basis of an optimization criterion (the least absolute errors).The estimator was compared with the universally used frequency estimator of probability and with Cestnik's m-estimator with respect to accuracy. The comparison was realized both theoretically and experimentally. The results show the superiority of the [...] completeness estimator over the frequency estimator for the probability interval ph (0.1, 0.9). The frequency estimator is better for ph [0, 0.1] and ph [0.9, 1].
Źródło:: International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 629-645
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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