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Tytuł:
Statistical inference about the median from vague data
Autorzy:
Grzegorzewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/205933.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
estymacja
metoda nieparametryczna
metoda statystyczna
testowanie hipotezy
zbiór rozmyty
confidence interval
estimation
fuzzy numbers
fuzzy sets
hypothesis testing
median
nonparametric statistics
sign-test
vague data
Opis:
In traditional statistics all parameters of the mathematical model and possible observations should be well defined. Sometimes such assumption appears too rigid for the real-life problems, especially when dealing with imprecise or linguistic data. To relax this rigidity fuzzy methods are incorporated into statistics. This paper is devoted to statistical inference about the population median in the presence of vague data. We propose the notion of fuzzy median. Then we suggest a fuzzy estimator and fuzzy confidence interval for the median. Next we discuss the problem of hypothesis testing concerning the median in the presence of imprecise data. All methods presented are distribution-free.
Źródło:
Control and Cybernetics; 1998, 27, 3; 447-464
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A probabilistic approach to fuzzy and crisp interval ordering
Autorzy:
Sevastjanov, P. V.
Rog, P.
Powiązania:
https://bibliotekanauki.pl/articles/1931578.pdf
Data publikacji:
2003
Wydawca:
Politechnika Gdańska
Tematy:
probabilistic approach
interval ordering
fuzzy interval ordering
Opis:
The paper presents a new method of crisp and fuzzy interval comparison (ordering). The method is based on the probabilistic approach and the representation of fuzzy numbers as ordered a-level sets. It allows all the cases of interval location and overlapping to be taken into account, including the ordering of intervals and real numbers. Additionally, the method implicitly allows the widths of intervals to be used in ordering procedures. It should be noted that the probabilistic approach was employed only to infer the set of formulas needed to estimate quantitatively the degree to which one interval is less than or equal to another interval. However, the measure of this value may be treated as probability. Some simple examples are also presented to illustrate the technique's practical efficiency.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2003, 7, 1; 147-156
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interval-valued linguistic summaries of databases
Autorzy:
Niewiadomski, A.
Ochelska, J.
Szczepaniak, P. S.
Powiązania:
https://bibliotekanauki.pl/articles/969963.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
interval-valued fuzzy set
interval-valued linguistic variable
interval-valued linguistic quantifier
linguistic summary of database
interval-valued linguistic summary of database
Opis:
The so-called linguistic summaries of databases are the semi-natural language sentences that enable distilling the most relevant information from large numbers of tuples, and present it in the human consistent forms. Recently, the methods of constructing and evaluating linguistic summaries have been based on Zadeh's fuzzy sets, which represent uncertain data. The main aim of the paper is to enhance and generalize the Yager's approach to linguistic summarization of data. This enhancement is based on interval-valued fuzzy sets. The newly presented methods enable handling fuzzy concepts, whose membership degrees are not given by real values explicitly, but are approximated by intervals in [0,1]. From now on, the Yager's approach can be viewed as a special case of the method presented in this paper. Finally, illustrative examples are presented.
Źródło:
Control and Cybernetics; 2006, 35, 2; 415-443
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Statistical analysis of interval and imprecise data : applications in the analysis of reliability field data
Autorzy:
Hryniewicz, O.
Powiązania:
https://bibliotekanauki.pl/articles/2069621.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
reliability
statistical analysis
field data
interval data
fuzzy data
Opis:
The analysis of field lifetime data is much more complicated than the analysis of the results of reliability laboratory tests. In the paper we present an overview of the most important problems of the statistical analysis of field lifetime data, and present their solutions known from literature. When the input information is partial or imprecise, we propose to use interval arithmetics for the calculation of bounds on reliability characteristics of interest. When this information can be described in a more informative fuzzy form, we can generalize our interval-valued results to their fuzzy equivalents.
Źródło:
Journal of Polish Safety and Reliability Association; 2007, 1; 181--192
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Optimization of a Revenue Function in a Fuzzy Linear Programming Model Used for Industrial Production Planning
Autorzy:
Vasant, P.
Barsoum, N
Webb, J F
Powiązania:
https://bibliotekanauki.pl/articles/108740.pdf
Data publikacji:
2009
Wydawca:
Społeczna Akademia Nauk w Łodzi
Tematy:
production planning
Vague environment
Membership function
Fuzzy interval
Satisfactory solutions
Opis:
In this paper, the S-curve membership function methodology is used in a reallife industrial problem in which there are various products, each of which requires a certain mix of raw materials selected from a set of available raw materials. This problem occurs in the chocolate manufacturing industry where decision makers and implementers play important roles that enable successful manufacturing of the products in an uncertain environment. The analysis in this paper tries to find a solution that helps a decision maker when deciding on what to implement. This problem is considered because it can be modeled with the help of fuzzy parameters (for example, the availability of raw materials is not always certain, and so can be treated as a fuzzy parameter). With 29 constraints and 8 variables the problem here is sufficiently large for the S-curve methodology employed because this methodology is applicable to problems with as few as 1 constraint and 1 variable. A decision maker can specify which vagueness parameter is suitable for achieving a revenue which through the analysis results in an initial solution that can be implemented. From the results of this implementation the decision maker can then suggest some possible and practicable changes in fuzzy intervals for improving the revenue. Within the framework of the analysis this interactive process has to go on between the decision maker and the implementer until an optimum solution is achieved and implemented.
Źródło:
Journal of Applied Computer Science Methods; 2009, 1 No. 2; 65-83
1689-9636
Pojawia się w:
Journal of Applied Computer Science Methods
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling imperfect time intervals in a two-dimensional space
Autorzy:
Qiang, Y.
Delafontaine, M.
Asmussen, K.
Stichelbaut, B.
De Tre, G.
De Maeyer, P.
Van de Weghe, N.
Powiązania:
https://bibliotekanauki.pl/articles/970193.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
rough set
rough time interval
fuzzy set
fuzzy time interval
Triangular Model
temporal relation
Opis:
Every event has an extent in time, which is usually described by crisp time intervals. However, under some circumstances, temporal extents of events are imperfect, and therefore cannot be adequately modelled by crisp time intervals. Rough sets and fuzzy sets are two frequently used tools for representing imperfect temporal information. In this paper, we apply a two-dimensional representation of crisp time intervals, which is called the Triangular Model (TM), to investigate rough time intervals (RTIs) and fuzzy time intervals (FTIs). With this model, RTIs and FTIs, as well as their temporal relations, can be represented as graphics (i.e. discrete geometries or continuous fields) in a two-dimensional time space. Compared to the traditional linear representation of time intervals, we found that TM provides a more compact and clearer representation of imperfect time intervals and relations. Moreover, temporal queries of imperfect intervals can be graphically addressed in TM, which is closer to human intuition than mathematical expressions. As human minds are more efficient in perceiving and processing graphic representations than numerical representations, we believe TM can be applied as a valuable assistant tool for analysing and reasoning about imperfect time intervals.
Źródło:
Control and Cybernetics; 2010, 39, 4; 983-1010
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A multiple attribute group decision making method based on generalized interwal-valued trapezoidal fuzzy numbers
Autorzy:
Liu, P.
Wang, Y.
Powiązania:
https://bibliotekanauki.pl/articles/205631.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
interval-valued fuzzy number
grey correlative coefficient
multiple attribute group decision making
Opis:
A ranking approach based on grey correlative coefficient is presented to solve the multiple attribute decision making problems in which the attribute values and the weights take the form of the generalized interval-valued trapezoidal fuzzy number (GIYTFN). Firstly, the concept and the calculation rules of GIYTFN are introduced, the distance of GIYTFN is proposed. Secondly, the method of linguistic terms transformed into GIYTFN and the normalization method of GIYTFN is illustrated, and a grey relational decision making method based on the GIYTFN is presented in detail. The alternatives are ranked based on the grey correlative coefficient. Finally, an illustrative example is given to show the effectiveness of this method and the decision making steps.
Źródło:
Control and Cybernetics; 2011, 40, 1; 163-184
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An approach to multiple attribute decision making with combined weight information in interval-valued intuitionistic fuzzy environment
Autorzy:
Wei, G.
Zhao, X.
Powiązania:
https://bibliotekanauki.pl/articles/206267.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiple attribute decision making
interval-valued intuitionistic fuzzy number
interval-valued intuitionistic fuzzy weighted averaging (IIFWA)
weight information
Opis:
With respect to multiple attribute decision making problems with interval-valued intuitionistic fuzzy information, some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are introduced. A combined optimization model based on the deviation method, by which the attribute weights can be determined, is established. For special situations, in which information about attribute weights is completely unknown, we establish another combined optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. We utilize the interval-valued intuitionistic fuzzy weighted averaging (IIFWA) operator to aggregate the intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one(s) according to the score and accuracy functions. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Źródło:
Control and Cybernetics; 2012, 41, 1; 97-112
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evolutionary optimization of interval mathematics-based design of a TSK fuzzy controller for anti-sway crane control
Autorzy:
Smoczek, J.
Powiązania:
https://bibliotekanauki.pl/articles/330615.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interval mathematics
pole placement method
evolutionary algorithm
fuzzy logic
TSK controller
anti-sway crane control
matematyka przedziałowa
metoda lokowania biegunów
algorytm ewolucyjny
logika rozmyta
sterownik TSK
Opis:
A hybrid method combining an evolutionary search strategy, interval mathematics and pole assignment-based closed-loop control synthesis is proposed to design a robust TSK fuzzy controller. The design objective is to minimize the number of linear controllers associated with rule conclusions and tune the triangular-shaped membership function parameters of a fuzzy controller to satisfy stability and desired dynamic performances in the presence of system parameter variation. The robust performance objective function is derived based on an interval Diophantine equation. Thus, the objective of a fuzzy logic-based control scheme is to place all the closed-loop control system characteristic polynomial coefficients within desired intervals. The reproduction process in the proposed Evolutionary Algorithm (EA) is based on the arithmetical crossover, uniform and non-uniform mutation along with gene deletion/insertion mutation ensuring a diversity of genomes sizes, as well as a diversity in the parameter space of membership functions. The proposed algorithm was implemented to design a fuzzy logic-based anti-sway crane control system taking into consideration the rope length and the mass of a payload variation. The results of experiments conducted using the EA for different conditions assumed for system parameter intervals and desired closed-loop system performances are compared with results achieved using the iterative procedure which is also described in the paper.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 749-759
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interval arithmetic-based fuzzy discrete-time crane control scheme design
Autorzy:
Smoczek, J.
Powiązania:
https://bibliotekanauki.pl/articles/201270.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
interval arithmetic
discrete-time control
fuzzy control
pole placement
anti-sway control
Opis:
In many manufacturing segments, container terminals and shipping yards the automation of material handling systems is an important element of enhancing productivity, safety and efficiency. The fast, precise and safe transfer of goods in crane operations requires a control application solving the problems, including non-collision trajectory planning and limitation of payload oscillations. The paper presents the interval arithmetic-based method of designing a discrete-time closed-loop anti-sway crane control system based on the fuzzy interpolation of linear controller parameters. The interval analysis of a closed-loop control system characteristic polynomial coefficients deviation from their nominal values is proposed to define a minimum number of fuzzy sets on the scheduling variables universe of discourse and to determine the distribution of triangular-shaped membership functions parameters, which satisfy the acceptable range of performances deterioration in the presence of the system’s parameters variation. The effectiveness of this method was proved in experiments conducted using the PAC system on the laboratory scaled overhead crane.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 4; 863-870
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Group decision making using interval-valued intuitionistic fuzzy soft matrix and confident weight of experts
Autorzy:
Das, S.
Kar, S.
Pal, T.
Powiązania:
https://bibliotekanauki.pl/articles/91665.pdf
Data publikacji:
2014
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
multiple attribute group decision making
MAGDM
interval-valued intuitionistic fuzzy soft matrix
IVIFSM
interval-valued intuitionistic fuzzy soft sets
IVIFSSs
Opis:
This article proposes an algorithmic approach for multiple attribute group decision making (MAGDM) problems using interval-valued intuitionistic fuzzy soft matrix (IVIFSM) and confident weight of experts. We propose a novel concept for assigning confident weights to the experts based on cardinals of interval-valued intuitionistic fuzzy soft sets (IVIFSSs). The confident weight is assigned to each of the experts based on their preferred attributes and opinions, which reduces the chances of biasness. Instead of using medical knowledgebase, the proposed algorithm mainly relies on the set of attributes preferred by the group of experts. To make the set of preferred attributes more important, we use combined choice matrix, which is combined with the individual IVIFSM to produce the corresponding product IVIFSM. This article uses IVIFSMs for representing the experts’ opinions. IVIFSM is the matrix representation of IVIFSS and IVIFSS is a natural combination of interval-valued intuitionistic fuzzy set (IVIFS) and soft set. Finally, the performance of the proposed algorithm is validated using a case study from real life.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2014, 4, 1; 57-77
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Higher order fuzzy logic in controlling selective catalytic reduction systems
Autorzy:
Niewiadomski, A.
Kacprowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/201190.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Selective Catalytic Reduction
SCR
air pollution
nitrogen oxides
adjustable air filter
ammonia valve
interval-valued fuzzy logic system
fuzzy controlling of air filter adjustments
type-2 fuzzy logic system
fuzzy implications
selektywna redukcja katalityczna SCR
zanieczyszczenia powietrza
tlenki azotu
regulowane filtry powietrza
zawór amoniaku
rozmyte kontrolowanie zmian filtra powietrza
typ-2 systemu logiki rozmytej
implikacja rozmyta
Opis:
This paper presents research on applications of fuzzy logic and higher-order fuzzy logic systems to control filters reducing air pollution [1]. The filters use Selective Catalytic Reduction (SCR) method and, as for now, this process is controlled manually by a human expert. The goal of the research is to control an SCR system responsible for emission of nitrogen oxide (NO) and nitrogen dioxide (NO2) to the air, using SCR with ammonia (NH3). There are two higher-order fuzzy logic systems presented, applying interval-valued fuzzy sets and type-2 fuzzy sets, respectively. Fuzzy sets and higher order fuzzy sets describe linguistically levels of nitrogen oxides as the input, and settings of ammonia valve in the air filter as the output. The obtained results are consistent with data provided by experts. Besides, we show that the type-2 fuzzy logic controllers allows us to obtain results much closer to desired parameters of the ammonia valve, than traditional FLS.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 4; 743-750
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Improving the Game Approach to Fuzzy Madm
Autorzy:
Larbani, Moussa
Chen, Yuh-Wen
Powiązania:
https://bibliotekanauki.pl/articles/578604.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Zakres fuzzy
Gra przeciwko naturze
Równowaga Nash
Fuzzy MADM
Fuzzy interval
Game against Nature
Nash equilibrium
Opis:
In the FSS paper 157 (2005, p. 34-51) we presented a game approach for solving MADM problems with fuzzy decision matrix. The results of the paper essentially depend on the assumption that the entries of the fuzzy decision matrix are triangular fuzzy numbers and dependent via a real parameter \lambda. In this paper we present a more general game approach for solving fuzzy MADM problems free of these restrictions. The entries of the decision matrix are assumed to be not necessarily dependent fuzzy intervals with bounded support as defined by Dubois and Prade.
Źródło:
Multiple Criteria Decision Making; 2014, 9; 58-71
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
P1-TS fuzzy scheduling control system design using local pole placement and interval analysis
Autorzy:
Smoczek, J.
Powiązania:
https://bibliotekanauki.pl/articles/199816.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
P1-TS fuzzy system
scheduling control
LPV discrete-time system
local pole placement
interval analysis
Opis:
The linear parameter-varying (LPV) discrete-time model based design of a fuzzy scheduling control scheme is developed through incorporating the advantages of P1-TS theory, and applying the local pole placement method and interval analysis of closed-loop system polynomial coefficients. The synthesis of fuzzy scheduling control scheme is proposed in the form of iterative procedure, which enables to find the appropriate number of intervals of a fuzzy interpolator ensuring that a family of local linear controllers places closed-loop polynomial coefficients within a desired range. The computational complexity of multidimensional fuzzy scheduling control scheme synthesis is reduced using a fundamental matrix method and recursive procedure for fuzzy rule-based interpretation. The usability of the proposed method is illustrated by an implementation example and experimental results obtained on a laboratory scaled overhead crane.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 3; 455-464
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Przedziałowe systemy rozmyte typu 2 w zarządzaniu emisją tlenków azotu
An interval type-2 fuzzy systems in the management of emissions of nitrogen oxides
Autorzy:
Kacprowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/407717.pdf
Data publikacji:
2015
Wydawca:
Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Tematy:
sterownik rozmyty
logika rozmyta interwałowe zbiory rozmyte
interwałowe zbiory rozmyte typu 2
fuzzy controller
fuzzy logic
interval fuzzy sets
interval fuzzy sets of type 2
Opis:
Artykuł jest kontynuacją badań nad możliwościami zastosowań systemów rozmytych oraz systemów rozmytych wyższych rzędów do sterowania filtrami powietrza. Artykuł prezentuje również autorskie implikacje rozmyte i wykorzystanie ich w interwałowym sterowniku rozmytym typu 2. Zmiennie wejściowe, którymi są poziomy stężenia tlenków azotu, opisane są przy użyciu interwałowych zbiorów rozmytych typu 2. Przy użyciu reguł typu IF-THEN sterownik oblicza wartość nastaw filtra. Uzyskane wyniki są w bardzo wysokim stopniu zgodne z danymi przekazanymi przez eksperta.
This article is a continuation of research on the possibilities of applications of fuzzy systems and fuzzy systems of higher order to control the air filters. The article presents the author’s fuzzy implications and use of them in the interval type 2 fuzzy controller. Variable inputs which are the concentration’s levels of nitrogen oxides described by linguistic variables, interval type 2 fuzzy sets using the rules of the type IF-THEN controller calculates the filter settings. The results are highly correlated to a data provided by the expert.
Źródło:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska; 2015, 1; 20-23
2083-0157
2391-6761
Pojawia się w:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
Dostawca treści:
Biblioteka Nauki
Artykuł
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