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Wyświetlanie 1-15 z 22
Tytuł:
Reduction of a Pythagorean Fuzzy Matrix to Fuzzy Matrix
Autorzy:
Venkatesan, D.
Sriram, S.
Powiązania:
https://bibliotekanauki.pl/articles/1075512.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Conjunction
Disjunction
Intuitionistic fuzzy matrix
Pythagorean fuzzy matrix
Pythagorean fuzzy set
Opis:
We have read some of the results of ∨_L and ∧_L from the Lukasiewicz type over Pythagorean fuzzy matrices. We presented four reduction operations about the Pythagorean fuzzy matrices. We associate the reduction operations to relate ∨_L and ∧_L activities.
Źródło:
World Scientific News; 2019, 129; 180-192
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Algebraic Structures of Picture Fuzzy Matrices
Autorzy:
Silambarasan, I.
Powiązania:
https://bibliotekanauki.pl/articles/1031777.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Algebraic product
Algebraic sum
Exponentiation operations
Intuitionistic fuzzy matrix
Picture fuzzy matrix
Scalar multiplication
Opis:
In this paper, the concept of Picture fuzzy matrices, which are direct extensions of an intuitionistic fuzzy matrices. Then we define some algebraic operations of Picture fuzzy matrices, such as max-min, min-max, complement, algebraic sum, algebraic product, scalar multiplication (nA) and exponentiation (A^n). We also investigate their algebraic properties of these operations. Furthermore, we define a new operation(@) on Picture fuzzy matrices and discuss distributive laws in the case where the operations of ⊕_℘,〖 ⊗〗_℘,〖 ∧〗_℘ and ∨_℘ are combined each other.
Źródło:
World Scientific News; 2020, 150; 78-91
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Interval-Valued Intuitionistic Fuzzy Matrices Based on Hamacher Operations
Autorzy:
Silambarasan, I.
Powiązania:
https://bibliotekanauki.pl/articles/1031793.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Exponentiation operations
Fuzzy matrix
Hamacher product
Hamacher sum
Interval-valued intuitionistic fuzzy matrix
Scalar multiplication
Opis:
The objective of this paper is to apply the concept of fuzzy matrices to interval-valued intuitionistic fuzzy matrices. In this paper, we introduce the Hamacher operations of interval-valued intuitionistic fuzzy matrices and prove some desirable properties of these operations, such as commutativity, idempotency and monotonicity. Further, we prove De Morgan's laws over complement for these operations. Then we constructe the scalar multiplication (n._h A) and exponentiation (A^(∧_h n)) operations of interval-valued fuzzy intuitionistic matrices and investigates the algebraic properties.
Źródło:
World Scientific News; 2020, 150; 148-161
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hamacher operations on Pythagorean fuzzy matrices
Autorzy:
Silambarasan, I.
Sriram, S.
Powiązania:
https://bibliotekanauki.pl/articles/973600.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
intuitionistic fuzzy matrix
pythagorean fuzzy matrix
Hamacher sum
Hamacher product
macierz rozmyta
suma Hamachera
produkt Hamacher
Opis:
In this paper, we introduce the Hamacher operations on Pythagorean fuzzy matrices and prove some desirable properties of these operations, such as commutativity, idempotancy and monotanicity. Further, we prove De Morgan’s laws for these operations over complement.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 69-78
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Maximal column rank preservers of fuzzy matrices
Autorzy:
Song, Seok-Zun
Park, Soo-Roh
Powiązania:
https://bibliotekanauki.pl/articles/728725.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
linear operator on matrices
fuzzy matrix
maximal column rank of a matrix
congruence operator on matrices
chain semiring
Opis:
This paper concerns two notions of rank of fuzzy matrices: maximal column rank and column rank. We investigate the difference of them. We also characterize the linear operators which preserve the maximal column rank of fuzzy matrices. That is, a linear operator T preserves maximal column rank if and only if it has the form T(X) = UXV with some invertible fuzzy matrices U and V.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 207-218
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Air pollution forecasting model control
Autorzy:
Domańska, D.
Wojtylak, M.
Powiązania:
https://bibliotekanauki.pl/articles/333888.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
Tematy:
modele systemu rozmytego
liczby rozmyte
macierz rozmyta
rozmyta prognoza pogody
zanieczyszczenie powietrza
prognozowanie
fuzzy system models
fuzzy numbers
fuzzy matrix
fuzzy weather forecast
air pollution
forecasting
Opis:
In the paper we discuss the analysis of multidimensional data. We consider the relationship between them using a special fuzzy number form. Calculations are kept on set of actual and historical meteorological data. Our model using to forecast pollution concentrations is important in today because pollutions have very big influence on our life in particular pollutions PM10 (particulate matter less than 10 µm in diameter). The effects of inhaling particulate matter have been widely studied in humans and animals and include asthma, lung cancer, cardiovascular issues, and premature death. Because of the size of the particle, they can penetrate the deepest part of the lungs. In Air Pollution Forecasting Model for the chosen weather forecast we find similar weather forecasts. Next, we find real meteorological situations from the historical data which correspond to them and we create fuzzy numbers, that is, the fuzzy weather forecasts. Then we estimate the validity of the weather forecast on the basis of the historical data and its accuracy. We investigate it with the help of a set of indicators, which corresponds to the parameters of the weather forecast, using the similarities rule of the weather forecast to the meteorological situation, a proper distance and data analysis. This comprehensive analysis allows us to investigate the effectiveness of forecasting pollution concentrations, putting the dependence between particular attributes describing the weather forecast in order and proving the legitimacy of the applicable fuzzy numbers in air pollution forecasting. Models are created for data, which are measured and forecasting in Poland. By reason of this data our models are testing in real sets of data and effects are received in active system.
Źródło:
Journal of Medical Informatics & Technologies; 2010, 14; 9-22
1642-6037
Pojawia się w:
Journal of Medical Informatics & Technologies
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:
A practical application of kernel-based fuzzy discriminant analysis
Autorzy:
Gao, J. Q.
Fan, L. Y.
Li, L.
Xu, L. Z.
Powiązania:
https://bibliotekanauki.pl/articles/908344.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
analiza dyskryminacyjna
algorytm najbliższego sąsiada
SVD
kernel fuzzy discriminant analysis
fuzzy k-nearest neighbor
QR decomposition
singular value decomposition (SVD)
fuzzy membership matrix
t-test
Opis:
A novel method for feature extraction and recognition called Kernel Fuzzy Discriminant Analysis (KFDA) is proposed in this paper to deal with recognition problems, e.g., for images. The KFDA method is obtained by combining the advantages of fuzzy methods and a kernel trick. Based on the orthogonal-triangular decomposition of a matrix and Singular Value Decomposition (SVD), two different variants, KFDA/QR and KFDA/SVD, of KFDA are obtained. In the proposed method, the membership degree is incorporated into the definition of between-class and within-class scatter matrices to get fuzzy between-class and within-class scatter matrices. The membership degree is obtained by combining the measures of features of samples data. In addition, the effects of employing different measures is investigated from a pure mathematical point of view, and the t-test statistical method is used for comparing the robustness of the learning algorithm. Experimental results on ORL and FERET face databases show that KFDA/QR and KFDA/SVD are more effective and feasible than Fuzzy Discriminant Analysis (FDA) and Kernel Discriminant Analysis (KDA) in terms of the mean correct recognition rate.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 887-903
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy regression : a scalar variable formation
Autorzy:
Guo, R.
Guo, D.
Powiązania:
https://bibliotekanauki.pl/articles/2069559.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
credibility measure
fuzzy variable
fuzzy regression
M-estimator
variance-covariance matrix
Opis:
In reliability, quality control and risk analysis, fuzzy methodologies are more and more involved and inevitably introduced difficulties in seeking fuzzy functional relationship between factors. In this paper, we propose a scalar variable formation of fuzzy regression model based on the credibility measure theoretical foundation. It is expecting our scalar variable treatments on fuzzy regression models will greatly simplify the efforts to seeking fuzzy functional relationship between fuzzy factors. An M-estimator for the regression coefficients is obtained and accordingly the properties and the variance-covariance for the coefficient M-estimators are also investigated in terms of weighted least-squares arguments. Finally, we explore the asymptotic membership function for the coefficient M-estimators.
Źródło:
Journal of Polish Safety and Reliability Association; 2008, 1; 159--167
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Risk-based maintenance assessment in the manufacturing industry: minimisation of suboptimal prioritisation
Autorzy:
Ratnayake, R. M. Chandima
Antosz, K.
Powiązania:
https://bibliotekanauki.pl/articles/406817.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
classification
fuzzy logic
manufacturing firms
risk based maintenance
risk matrix
Opis:
Manufacturing firms continuously strive to increase the efficiency and effectiveness in the maintenance management processes. Focus is placed on eliminating the unexpected failures which cause unnecessary costs and the production losses. Risk-based maintenance (RBM) strategies enable to address the above through the identification of probability and consequences of potential failures whilst providing a way for prioritisation of maintenance actions based on the risk of possible failures. Such prioritisations enable to identify the optimal maintenance strategy, intervals of maintenance tasks, and optimal level of spare parts inventory. However, the risk assessment activities are performed with the support of a risk matrix. Suboptimal classifications and/or prioritisations arise due to the inherent nature of the risk matrix. This is caused by the fact that there are no means to incorporate actual circumstances at the boundary of the input ranges or at the levels of linguistic data and risk categories. In this paper, a risk matrix is first developed in collaboration with one of the manufacturing firms in Poland. Then, it illustrates the use of fuzzy logic for minimisation of suboptimal prioritisation and/or classifications using a fuzzy inference system (FIS) together with illustrative membership functions and a rule base. Finally, an illustrative risk assessment is also demonstrated to illustrate the methodology.
Źródło:
Management and Production Engineering Review; 2017, 8, 1; 38-45
2080-8208
2082-1344
Pojawia się w:
Management and Production Engineering Review
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based fuzzy observer design for Takagi-Sugeno models containing vestigial nonlinear terms
Autorzy:
Krokavec, D.
Filasová, A.
Powiązania:
https://bibliotekanauki.pl/articles/229515.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Takagi-Sugeno models
fuzzy observer
linear matrix inequality
incremental quadratic inequality
Opis:
The paper deals with the problem of full order fuzzy observer design for the class of continuous-time nonlinear systems, represented by Takagi-Sugeno models containing vestigial nonlinear terms. On the basis of the Lyapunov stability criterion and the incremental quadratic inequalities, two design conditions for this kind of system model are outlined in the terms of linear matrix inequalities. A numerical example is given to illustrate the procedure and to validate the performances of the proposed approach.
Źródło:
Archives of Control Sciences; 2014, 24, 1; 39-52
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A novel robust H1 fuzzy state-feedback control design on nonlinear Markovian jump systems with time-varyin delay
Autorzy:
Assawinchaichote, W.
Powiązania:
https://bibliotekanauki.pl/articles/205767.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
H∞ fuzzy control
Takagi-Sugeno (TS) fuzzy model
linear matrix inequalities (LMIs)
Markovian jump parameters
time-varying delay
Opis:
This paper considers the problem of designing a robust H∞ fuzzy state-feedback controller for a class of nonlinear Markovian jump systems with time-varying delay. A novel design methodology has been proposed for designing a controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. Solutions to the problem are provided in terms of linear matrix inequalities. To illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.
Źródło:
Control and Cybernetics; 2014, 43, 2; 227-248
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Random fuzzy continuous-time Markov chains
Autorzy:
Guo, R.
Nyirenda, J.
Dunne, T.
Guo, D.
Powiązania:
https://bibliotekanauki.pl/articles/2069696.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
stochastic semigroup
rate matrix
credibility measure
repairable system
random fuzzy Markov process
Opis:
Continuous-time Markov chains is an important subclass in stochastic processes, which have facilitated many applications in business decisions, investment risk analysis, insurance policy making and reliability modeling. It should be fully aware that the existing continuous-time Markov chains theory is merely an ideology under which the random uncertainty governs the phenomena. However, the real world phenomena are often revealing the randomness and vagueness co-existence reality and thus the probabilistic continuous-time Markov chains modeling practices may be not adequate. In this paper, we define the random fuzzy continuous-time Markov chains, explore the related average chance distributions, and propose a scheme for the parameter estimation and a simulation scheme as well. It is expecting that a foundational work can be established for reliability modeling and risk analysis, particularly, repairable system modeling.
Źródło:
Journal of Polish Safety and Reliability Association; 2009, 1; 123--132
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kalibracja więźby ruchu na podstawie pomiarów przekrojowych
Calibration of matrix using traffic counts
Autorzy:
Szarata, A.
Powiązania:
https://bibliotekanauki.pl/articles/193160.pdf
Data publikacji:
2011
Wydawca:
Stowarzyszenie Inżynierów i Techników Komunikacji Rzeczpospolitej Polskiej
Tematy:
więźba ruchu
rozkład ruchu w sieci
zbiory rozmyte
OD matrix
traffic assignment
fuzzy sets
Opis:
Założenia estymacji więźby ruchu przy wykorzystaniu pomiarów przekrojowych. Problematyka korekty elementów więźby ruchu. Przyktad zastosowania procedury kalibracji więźby ruchu.
Assumptions of estimation of changes in O-D matrix using traffic counts. Problems of traffic measurement to estimation of changes in O-D matrix An example of application of methodology of the O-D matrix calibration.
Źródło:
Transport Miejski i Regionalny; 2011, 2; 21-25
1732-5153
Pojawia się w:
Transport Miejski i Regionalny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
T–S fuzzy BIBO stabilisation of non-linear systems under persistent perturbations using fuzzy Lyapunov functions and non-PDC control laws
Autorzy:
Salcedo, José V.
Martínez, Miguel
García-Nieto, Sergio
Hilario, Adolfo
Powiązania:
https://bibliotekanauki.pl/articles/330030.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear matrix inequalities
Takagi–Suegno fuzzy system
fuzzy Lyapunov function
integral delayed Lyapunov function
nonparallel distributed fuzzy controller
generalised inescapable ellipsoids
liniowe nierówności macierzowe
model rozmyty Takagi-Sugeno
funkcja Lapunowa
Opis:
This paper develops an innovative approach for designing non-parallel distributed fuzzy controllers for continuous-time non-linear systems under persistent perturbations. Non-linear systems are represented using Takagi–Sugeno fuzzy models. These non-PDC controllers guarantee bounded input bounded output stabilisation in closed-loop throughout the computation of generalised inescapable ellipsoids. These controllers are computed with linear matrix inequalities using fuzzy Lyapunov functions and integral delayed Lyapunov functions. LMI conditions developed in this paper provide non-PDC controllers with a minimum ⋆-norm (upper bound of the 1-norm) for the T–S fuzzy system under persistent perturbations. The results presented in this paper can be classified into two categories: local methods based on fuzzy Lyapunov functions with guaranteed bounds on the first derivatives of membership functions and global methods based on integral-delayed Lyapunov functions which are independent of the first derivatives of membership functions. The benefits of the proposed results are shown through some illustrative examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 529-550
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 22

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