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Tytuł:
A comparative study on interval arithmetic operations with intuitionistic fuzzy numbers for solving an intuitionistic fuzzy multi-objective linear programming problem
Autorzy:
Vidhya, R.
Irene Hepzibah, R.
Powiązania:
https://bibliotekanauki.pl/articles/330813.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fuzzy number
fuzzy arithmetic
linear programming problem
liczba rozmyta
arytmetyka rozmyta
programowanie liniowe
Opis:
In a real world situation, whenever ambiguity exists in the modeling of intuitionistic fuzzy numbers (IFNs), interval valued intuitionistic fuzzy numbers (IVIFNs) are often used in order to represent a range of IFNs unstable from the most pessimistic evaluation to the most optimistic one. IVIFNs are a construction which helps us to avoid such a prohibitive complexity. This paper is focused on two types of arithmetic operations on interval valued intuitionistic fuzzy numbers (IVIFNs) to solve the interval valued intuitionistic fuzzy multi-objective linear programming problem with pentagonal intuitionistic fuzzy numbers (PIFNs) by assuming different α and β cut values in a comparative manner. The objective functions involved in the problem are ranked by the ratio ranking method and the problem is solved by the preemptive optimization method. An illustrative example with MATLAB outputs is presented in order to clarify the potential approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 563-573
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A literature review of interval-valued intuitionistic fuzzy multi-criteria decision-making methodologies
Autorzy:
Kokoç, Melda
Ersöz, Süleyman
Powiązania:
https://bibliotekanauki.pl/articles/2100434.pdf
Data publikacji:
2021
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
multi-criteria decision-making
review
interval-valued intuitionistic fuzzy set
MCDM
MADM
Opis:
Multi-criteria decision-making (MCDM) is one of the most popular problems handled by researchers in the literature. Since the interval-valued intuitionistic fuzzy set (IVIFS) theory generates as realistic as possible evaluation of linguistic expressions, researchers have been expanding traditional MCDM methods to the IVIF environment, especially in the last decade. This study provides a literature review of the relevant articles from several academic databases on applications of IVIF-MCDM methods. The review of 131 publications addresses specific research questions. To understand the research publication trend, this review offers a visual analysis that examines the studies from different perspectives, such as application areas, IVIF-MCDM methods, citations, most relevant journals, and validation methods. One of the most remarkable results of the literature review is that most publications in this field are published in SCIE indexed journals. Another noteworthy issue is that China is the country that produces the most articles in this field. In addition, English journals are mostly selected for the publication of articles. While it is seen that the investment selection problem is chosen mostly as the application area, the TOPSIS method is preferred mostly in the applications. This study stands out as the most comprehensive one that compiles publications containing extended traditional MCDM methods for IVIF sets. This review will be an important reference for future researchers and decision-makers involved in advancing MCDM methods considering vagueness and ambiguity.
Źródło:
Operations Research and Decisions; 2021, 31, 4; 89--116
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Methodological Proposal for Implementing Interval Type-2 Fuzzy Processors Over Digital Signal Controllers
Autorzy:
Forero, L. L.
Melgarejo, M.
Powiązania:
https://bibliotekanauki.pl/articles/108748.pdf
Data publikacji:
2010
Wydawca:
Społeczna Akademia Nauk w Łodzi
Tematy:
fuzzy logic
Type-2 fuzzy systems
Fuzzy hardware
embedded systems
Opis:
This article presents a methodological proposal for implementing interval type-2 fuzzy processors over digital signal controller technology. We describe the main considerations that a practitioner or an engineer should follow when implementing an interval type-2 fuzzy system over an embedded processor. These considerations guide the implementation study of eight interval type-2 fuzzy processors, which are fully characterized and tested. Results show that by combining fast computing strategies and technologies like digital signal controllers, the inference time of an embedded type-2 fuzzy processor can be set to hundreds of microseconds.
Źródło:
Journal of Applied Computer Science Methods; 2010, 2 No. 1; 61-81
1689-9636
Pojawia się w:
Journal of Applied Computer Science Methods
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:
A novel approach to type-reduction and design of interval type-2 fuzzy logic systems
Autorzy:
Starczewski, Janusz T.
Przybyszewski, Krzysztof
Byrski, Aleksander
Szmidt, Eulalia
Napoli, Christian
Powiązania:
https://bibliotekanauki.pl/articles/2147137.pdf
Data publikacji:
2022
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
smooth type-reduction
interval type-2 fuzzy logic systems
Opis:
Fuzzy logic systems, unlike black-box models, are known as transparent artificial intelligence systems that have explainable rules of reasoning. Type 2 fuzzy systems extend the field of application to tasks that require the introduction of uncertainty in the rules, e.g. for handling corrupted data. Most practical implementations use interval type-2 sets and process interval membership grades. The key role in the design of type-2 interval fuzzy logic systems is played by the type-2 inference defuzzification method. In type-2 systems this generally takes place in two steps: type-reduction first, then standard defuzzification. The only precise type-reduction method is the iterative method known as Karnik-Mendel (KM) algorithm with its enhancement modifications. The known non-iterative methods deliver only an approximation of the boundaries of a type-reduced set and, in special cases, they diminish the profits that result from the use of type-2 fuzzy logic systems. In this paper, we propose a novel type-reduction method based on a smooth approximation of maximum/minimum, and we call this method a smooth type-reduction. Replacing the iterative KM algorithm by the smooth type-reduction, we obtain a structure of an adaptive interval type-2 fuzzy logic which is non-iterative and as close to an approximation of the KM algorithm as we like.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2022, 12, 3; 197--206
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
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:
A robust fault diagnosis and forecasting approach based on Kalman filter and interval type-2 fuzzy logic for efficiency improvement of centrifugal gas compressor system
Autorzy:
Nail, Bachir
Kouzou, Abdellah
Hafaifa, Ahmed
Hadroug, Nadji
Puig, Vicenç
Powiązania:
https://bibliotekanauki.pl/articles/329190.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Tematy:
fault detection
diagnosis
centrifugal gas compressor
Kalman filter
interval type-2 fuzzy logic
experimental data
ARIMA
detekcja uszkodzeń
diagnostyka
filtr Kalmana
Opis:
The paper proposes a robust faults detection and forecasting approach for a centrifugal gas compressor system, the mechanism of this approach used the Kalman filter to estimate and filtering the unmeasured states of the studied system based on signals data of the inputs and the outputs that have been collected experimentally on site. The intelligent faults detection expert system is designed based on the interval type-2 fuzzy logic. The present work is achieved by an important task which is the prediction of the remaining time of the system under study to reach the danger and/or the failure stage based on the Auto-regressive Integrated Moving Average (ARIMA) model, where the objective within the industrial application is to set the maintenance schedules in precisely time. The obtained results prove the performance of the proposed faults diagnosis and detection approach which can be used in several heavy industrial systems.
Źródło:
Diagnostyka; 2019, 20, 2; 57-75
1641-6414
2449-5220
Pojawia się w:
Diagnostyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An approach to exponentiation with interval-valued power
Autorzy:
Tikhonenko-Kędziak, A.
Kurkowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/122552.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
IVFS
interval-values fuzzy sets
DST
Dempster-Shafer theory
operations on IVFS’s
teoria Dempster-Shafera
zbiory rozmyte
interwałowe zbiory rozmyte
Opis:
The main aim of the work is introducing an operation of raising intuitionistic fuzzy values to intuitionistic fuzzy power, which not requiring to conversion of intuitionistic fuzzy values. Introducing an operation of raising intuitionistic fuzzy values to intuitionistic fuzzy power, which does not require conversion of intuitionistic fuzzy values is the main aim of the work. It is known that, in the classical intuitionistic fuzzy sets theory, the use of all aggregation modes is not always possible because of the lack of definition of raising intuitionistic fuzzy values to intuitionistic fuzzy power. Therefore, the specific aim of the work is to present the heuristic method of raising intuitionistic fuzzy values to intuitionistic fuzzy power, and the consideration of its properties.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 157-169
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
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:
An interval observer design for uncertain nonlinear systems based on the T-S fuzzy model
Autorzy:
Menasria, Y.
Bouras, H.
Debbache, N.
Powiązania:
https://bibliotekanauki.pl/articles/229225.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
T-Smodel
T-S proportional observer
interval observer
time-varying systems
Opis:
A new approach to build an interval observer for nonlinear un certain systems is presented in this paper. Nonlinear systems modeled in the Takagi-Suge no (T-S) form are studied. A T-S proportional observer is first issued by pole-placement and LMI tools. Secondly, time-varying change of coordinates for each dynamic state estimation error is used to design an interval observer. The system state bounds are then directly deduced.
Źródło:
Archives of Control Sciences; 2017, 27, 3; 397-407
1230-2384
Pojawia się w:
Archives of Control Sciences
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:
Evaluation of medical service quality based on a novel multi-criteria decision-making method with unknown weighted information
Autorzy:
Zhao, Butian
Zhang, Runtong
Xing, Yuping
Powiązania:
https://bibliotekanauki.pl/articles/1845522.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
interval-valued q-rung dual hesitant fuzzy set
Maclaurin symmetric mean
operator
multi-criteria decision-making
aggregation operators
Opis:
In modern society, people concern more about the evaluation of medical service quality. Evaluation of medical service quality is helpful for medical service providers to supervise and improve their service quality. Also, it will help the public to understand the situation of different medical providers. As a multi-criteria decision-making (MCDM) problem, evaluation of medical service quality can be effectively solved by aggregation operators in interval-valued q-rung dual hesitant fuzzy (IVq-RDHF) environment. Thus, this paper proposes interval-valued q-rung dual hesitant Maclaurin symmetric mean (IVq-RDHFMSM) operator and interval-valued q-rung dual hesitant weighted Maclaurin symmetric mean (IVq-RDHFWMSM) operator. Based on the proposed IVq-RDHFWMSM operator, this paper builds a novel approach to solve the evaluation problem of medical service quality including a criteria framework for the evaluation of medical service quality and a novel MCDM method. What’s more, aiming at eliminating the discordance between decision information and weight vector of criteria determined by decisionmakers (DMs), this paper proposes the concept of cross-entropy and knowledge measure in IVq-RDHF environment to extract weight vector from DMs’ decision information. Finally, this paper presents a numerical example of the evaluation of medical service for hospitals to illustrate the availability of the novel method and compares our method with other MCDM methods to demonstrate the superiority of our method. According to the comparison result, our method has more advantages than other methods.
Źródło:
Archives of Control Sciences; 2021, 31, 3; 645-685
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of medical service quality based on a novel multi-criteria decision-making method with unknown weighted information
Autorzy:
Zhao, Butian
Zhang, Runtong
Xing, Yuping
Powiązania:
https://bibliotekanauki.pl/articles/1845505.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
interval-valued q-rung dual hesitant fuzzy set
Maclaurin symmetric mean operator
multi-criteria decision-making
aggregation operators
Opis:
In modern society, people concern more about the evaluation of medical service quality. Evaluation of medical service quality is helpful for medical service providers to supervise and improve their service quality. Also, it will help the public to understand the situation of different medical providers. As a multi-criteria decision-making (MCDM) problem, evaluation of medical service quality can be effectively solved by aggregation operators in interval-valued q-rung dual hesitant fuzzy (IVq-RDHF) environment. Thus, this paper proposes interval-valued q-rung dual hesitant Maclaurin symmetric mean (IVq-RDHFMSM) operator and interval-valued q-rung dual hesitant weighted Maclaurin symmetric mean (IVq-RDHFWMSM) operator. Based on the proposed IVq-RDHFWMSM operator, this paper builds a novel approach to solve the evaluation problem of medical service quality including a criteria framework for the evaluation of medical service quality and a novel MCDM method. What’s more, aiming at eliminating the discordance between decision information and weight vector of criteria determined by decisionmakers (DMs), this paper proposes the concept of cross-entropy and knowledge measure in IVq-RDHF environment to extract weight vector from DMs’ decision information. Finally, this paper presents a numerical example of the evaluation of medical service for hospitals to illustrate the availability of the novel method and compares our method with other MCDM methods to demonstrate the superiority of our method. According to the comparison result, our method has more advantages than other methods.
Źródło:
Archives of Control Sciences; 2021, 31, 3; 645-685
1230-2384
Pojawia się w:
Archives of Control Sciences
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:
Forecasting the confidence interval of efficiency in fuzzy DEA
Autorzy:
Kafi, Azarnoosh
Daneshian, Behrouz
Rostamy-Malkhalifeh, Mohsen
Powiązania:
https://bibliotekanauki.pl/articles/2099435.pdf
Data publikacji:
2021
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
data envelopment analysis
DEA
fuzzy data
efficiency
forecast
ranking
confidence interval
Opis:
Data envelopment analysis (DEA) is a well-known method that based on inputs and outputs calculates the efficiency of decision-making units (DMUs). Comparing the efficiency and ranking of DMUs in different periods lets the decision-makers prevent any loss in the productivity of units and improve the production planning. Despite the merits of DEA models, they are not able to forecast the efficiency of future periods with known input/output records of the DMUs. With this end in view, this study aims at proposing a forecasting algorithm with a 95% confidence interval to generate fuzzy data sets for future periods. Moreover, managers’ opinions are inserted in the proposed forecasting model. Equipped with the forecasted data sets and concerning the data sets from earlier periods, this model can rightly forecast the efficiency of the future periods. The proposed procedure also employs the simple geometric mean to discriminate between efficient units. Examples from a real case including 20 automobile firms show the applicability of the proposed algorithm.
Źródło:
Operations Research and Decisions; 2021, 31, 1; 41--59
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
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