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Wyświetlanie 1-15 z 36
Tytuł:
Some aggregating operators based on the Choquet integral with fuzzy number intuitionistic fuzzy information and their applications to multiple attribute decision making
Autorzy:
Wei, G.
Lin, R.
Zhao, X.
Wang, H.
Powiązania:
https://bibliotekanauki.pl/articles/206346.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fuzzy number intuitionistic fuzzy values
operational laws
fuzzy number intuitionistic fuzzy Choquet ordered averaging (FNIFCOA) operator
fuzzy number intuitionistic fuzzy Choquet ordered geometric mean (FNIFCOGM) operator
Opis:
With respect to multiple attribute decision making (MADM) problems in which attribute values take the form of fuzzy number intuitionistic fuzzy values, a new decision making analysis method is developed. First, some operational laws of fuzzy number intuitionistic fuzzy values, score function and accuracy function of fuzzy number intuitionistic fuzzy values are introduced. Then, we have developed two fuzzy number intuitionistic fuzzy Choquet integral aggregation operators: fuzzy number intuitionistic fuzzy Choquet ordered averaging (FNIFCOA) operator and fuzzy number intuitionistic fuzzy Choquet ordered geometric mean (FNIFCOGM) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of the FNIFCOA and FNIFCOGM operators, such as commutativity, idempotency and monotonicity, and applied the FNIFCOA and FNIFCOGM operators to multiple attribute decision making with fuzzy number intuitionistic fuzzy information. Finally an illustrative example has been given to show the developed method.
Źródło:
Control and Cybernetics; 2012, 41, 2; 463-480
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of two kinds of fuzzy arithmetic, LR and OFN, applied to fuzzy observation of the cofferdam water level
Autorzy:
Czerniak, J. M.
Dobrosielski, W.
Angryk, R. A.
Powiązania:
https://bibliotekanauki.pl/articles/305703.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fuzzy logic
fuzzy number
ordered fuzzy numbers
Opis:
This paper presents certain important aspect soft he fuzzy logic extension, one of whichis OFN. It includes basic definition soft hat discipline. It also compares fuzzy logic arithmetic with the arithmetic of ordered fuzzy numbers in L-R notation. Computational experiments were based on fuzzy observation of the impounding basin. The results of the study show that there is a connection between the order of OFN number and trend of changes in the environment. The experiment was carried out using computer soft ware developed specially for that purpose.When comparing the arithmetic of fuzzy numbers in L-R notation with the arithmetic of ordered fuzzy number son the ground soft he experiment, it has been concluded that with fuzzy numbers it ispossible to expand the scope of solutions in comparison to fuzzy numbers inclassic form. The symbol of OFN flexibility is the possibility to determine the number that always satisfies the equation A+X=C, regardles soft hevalue of arguments. Operations performed on OFN are less complicated, as the yare performed in the same way regard less the sign of the input data and the irresults are more accuratein the majority of cases.The promising feature of ordered fuzzy numbers is their lack of rapidly growing fuzziness. Authors expect to see implication of that fact in practice in the near future.
Źródło:
Computer Science; 2013, 14 (3); 443-457
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization of an EPQ model in an imprecise environment with defuzzification by the centroid method under inflation
Autorzy:
Arora, Ritu
Chauhan, Anand
Sharma, Renu
Singh, Anubhav Pratap
Powiązania:
https://bibliotekanauki.pl/articles/2175846.pdf
Data publikacji:
2022
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
fuzzy production inventory model
selling price dependent demand
inflation
triangular fuzzy number
trapezoidal fuzzy number
centroid method
Opis:
The awareness of making decisions in an imprecise environment has resulted in considering the inventory system under a fuzzy approach. The effects of uncertain demand have been finding increased application in many inventory systems. Uncertainty creates complicated situations for the manufacturer in making decisions. Markets have become more competitive as a result of technological advancements. The effect of inflation on the overall cost of the inventory system is useful in providing a tool for the analysis of inventory decisions. This study intended to estimate the effect of different fuzzy numbers on a manufacturer's annual joint expected total cost. The comparative study of this proposed model has been considered for two different fuzzy numbers with the defuzzification technique as the centroid method. The optimization technique has been used to minimize the producer’s joint expected total cost under the condition mentioned earlier, and the model is validated numerically.
Źródło:
Operations Research and Decisions; 2022, 32, 3; 32--48
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unique fuzzy optimal value of fully fuzzy linear programming problems
Autorzy:
Kaur, J.
Kumar, A.
Powiązania:
https://bibliotekanauki.pl/articles/206342.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fully fuzzy linear programming
unique fuzzy optimal value
fuzzy number
Opis:
Kumar, Kaur and Singh (2011), proposed a new method to find the exact fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems with equality constraints. In this paper, an FFLP problem is chosen to show that the fuzzy optimal value, obtained by using the existing method, is not necessarily a unique fuzzy number i.e., the fuzzy optimal value of the FFLP problem, obtained by the existing method, does not conform to the uniqueness property of fuzzy optimal value. To overcome this shortcoming of the existing method, a new method is proposed for solving FFLP problems with equality constraints. To show the advantage of the proposed method the results of the chosen FFLP problem, obtained by using the existing and the proposed methods, are compared.
Źródło:
Control and Cybernetics; 2012, 41, 2; 497-508
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
THE RATING SCALE MODEL IN THE CONSTRUCTION OF FUZZY TOPSIS METHOD
Autorzy:
Jefmański, Bartłomiej
Powiązania:
https://bibliotekanauki.pl/articles/453920.pdf
Data publikacji:
2014
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
Tematy:
IRT models
rating scale model
TOPSIS
fuzzy number
Opis:
Fuzzy TOPSIS method enables linear ordering of objects characterized by linguistic variables, which values constitute expressions emerging from natural language. Crucial, however, often neglected phase of this method is a selection of the way of introducing linguistic expressions by fuzzy numbers. Therefore, in this article one suggested a modification of fuzzy TOPSIS method using Rating Scale Model (RSM) to establish triangular fuzzy numbers. A suggested method enables establishing the rank of objects on the basis of objective criteria and subjective weights expressed in the form of triangular fuzzy numbers. Usability of the suggested method was confirmed by an empirical example, concerning linear ordering of selected smartphones models.
Źródło:
Metody Ilościowe w Badaniach Ekonomicznych; 2014, 15, 2; 112-124
2082-792X
Pojawia się w:
Metody Ilościowe w Badaniach Ekonomicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy goal programming - one notion, many meanings
Rozmyte programowanie celowe - jedno pojęcie, wiele znaczeń
Autorzy:
Chanas, S.
Kuchta, D.
Powiązania:
https://bibliotekanauki.pl/articles/205891.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
liczba rozmyta
programowanie celowe
fuzzy number
goal programming
Opis:
A survey of fuzzy goal programming approach is presented, including three new approaches. Various approaches are classified according to the role that fuzzy numbers play in them. For each approach the corresponding model and the solution procedure are discussed.
Zaprezentowano przegląd podejść w ramach rozmytego programowania celowego, obejmującego także trzy nowe podejścia. Omawiane podejścia zostały sklasyfikowane według roli, jaką pełnią w nich liczby rozmyte. Przedyskutowano dla każdego podejścia odpowiadający mu model decyzyjny i procedurę otrzymywania rozwiązania.
Źródło:
Control and Cybernetics; 2002, 31, 4; 871-890
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The present value of a portfolio of assets with present values determined by trapezoidal ordered fuzzy numbers
Autorzy:
Łyczkowska-Hanćkowiak, A.
Piasecki, K.
Powiązania:
https://bibliotekanauki.pl/articles/406356.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
present value
ordered fuzzy number
portfolio
revised sum
Opis:
We consider the obvious thesis that the present value of a portfolio is equal to the sum of the present values of its components. The main goal of this paper is the implementation of this thesis in the case when present values are determined by trapezoidal ordered fuzzy numbers. We apply the revised sum of ordered fuzzy numbers. The associativity of such a revised sum is investigated here. In addition, we show that the multiple revised sum of a finite sequence of trapezoidal ordered fuzzy numbers depends on the ordering of its summands. Without any obstacles, the results obtained can be generalized to the case of any ordered fuzzy numbers.
Źródło:
Operations Research and Decisions; 2018, 28, 2; 41-56
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modifications of order scales for assessing debtors
Autorzy:
Wójcicka-Wójtowicz, Aleksandra
Piasecki, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/2176219.pdf
Data publikacji:
2022
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
order scale
credit scoring
trapezoidal oriented fuzzy number
Opis:
In previous research, the Extended Order Scale (EOS) dedicated to risk assessment was analysed. It was characterised by a Numerical Order Scale (NOS) evaluated by trapezoidal oriented fuzzy numbers (TrOFNs). However, the research showed that EOS with two-stage orientation phases, was too complicated. Therefore, the main aim of our paper is to simplify a Complete Order Scale (COS) to a zero- or one-stage order scale and a hybrid approach. For this purpose, a way to calculate the scoring function is presented. The results show that changes in the COS structure influence the values of a scoring function. Replacing just one linguistic indicator gives different results. Another finding of the research is the method’s flexibility that allows an expert to individually choose the most suitable COS. The research proves that the boundary between various linguistic labels cannot be precisely defined. However, knowledge of a formal COS structure allows it to be transformed into a less complex one.
Źródło:
Operations Research and Decisions; 2022, 32, 3; 142--151
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Assessing the profitability of investment projects using ordered fuzzy numbers
Ocena opłacalności projektów z wykorzystaniem skierowanych liczb rozmytych
Autorzy:
Pisz, Iwona
Chwastyk, Anna
Łapuńka, Iwona
Powiązania:
https://bibliotekanauki.pl/articles/362174.pdf
Data publikacji:
2019
Wydawca:
Wyższa Szkoła Logistyki
Tematy:
project
investment project
capital budgeting
NPV
fuzzy number
ordered fuzzy number
projekt
projekt inwestycyjny
budżetowanie kapitałowe
liczba rozmyta
skierowana liczba rozmyta
Opis:
Background: This article is motivated by the fact that most approaches to capital budgeting are deterministic. In reality, the capital budgeting problem is accompanied by the uncertainty and risk associated with dealing with imprecise data. Taking this uncertainty into account when performing analyses and calculations not only helps to better measure the profitability of investment projects, but also to expand the applicability of capital budgeting methods under real-life or uncertain conditions. The major contribution of this paper is the development of a novel approach to assessing the profitability of an investment project in the presence of uncertainty. Methods: We present a novel approach for incorporating uncertainty into how the profitability of investment projects is assessed, which we term Ordered Fuzzy Net Present Value (OFNPV). The proposed method measures the level of investment project effectiveness using a model based on ordered fuzzy numbers (OFNs). In addition, ordered fuzzy numbers are used to describe changes to the investment parameters in the assumed time horizon. This paper illustrates an implementation of the proposed technique using a numerical example of an investment process in the logistics department of a company. Results: The use of the proposed method based on OFNs allows experts to gauge the real-life accuracy of the considered phenomenon, and to express their assessment of its dynamic changes. This is vital to the problem of profitability assessment in investment projects. Conclusions: Our approach offers a new perspective on the problem of investment in projects and constitutes an effective tool for assessing the profitability of investment projects. This tool could constitute a valuable source of knowledge for investors involved in decision-making processes.
Wstęp: U podstaw rozważań leży stwierdzenie, że większość podejść do budżetowania kapitałowego ma charakter deterministyczny. W rzeczywistości problemowi budżetowania towarzyszy niepewność i ryzyko związane z przetwarzaniem nieprecyzyjnych danych. Uwzględnienie tej niepewności nie tylko pomaga lepiej zmierzyć efektywność projektów inwestycyjnych, ale także rozszerzyć zastosowanie metod budżetowania kapitałowego w warunkach rzeczywistych lub niepewnych. Głównym celem artykułu jest opracowanie nowatorskiego podejścia do oceny opłacalności projektu inwestycyjnego w warunkach niepewności. Metody: Prezentujemy nowatorskie podejście uwzględniające niepewność w ocenie opłacalności projektów inwestycyjnych Ordered Fuzzy Net Present Value (OFNPV). Proponowana metoda umożliwia dokonanie oceny efektywności projektu inwestycyjnego za pomocą modelu opartego na skierowanych liczbach rozmytych (OFN). Ponadto skierowane liczby rozmyte służą do opisu zmian parametrów inwestycyjnych w założonym horyzoncie czasowym. Artykuł ilustruje wdrożenie proponowanego podejścia z wykorzystaniem przykładu procesu inwestycyjnego w przedsiębiorstwie w obszarze logistycznym. Wyniki: Zastosowanie proponowanej metody opartej na OFN pozwala ekspertom ocenić dokładność rozpatrywanego zjawiska, a także wyrazić swoją ocenę na temat dynamiki ich zmian. Ma to kluczowe znaczenie dla problemu oceny opłacalności projektów inwestycyjnych. Wnioski: Proponowane podejście oferuje nowe spojrzenie na problem inwestycyjny i stanowi skuteczne narzędzie do oceny opłacalności projektów inwestycyjnych. Narzędzie to może stanowić cenne źródło wiedzy dla inwestorów zaangażowanych w procesy decyzyjne.
Źródło:
LogForum; 2019, 15, 3; 377-389
1734-459X
Pojawia się w:
LogForum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy quality analysis of web services implemented in virtualised environment
Autorzy:
Walkowiak, T.
Powiązania:
https://bibliotekanauki.pl/articles/2069094.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
virtualization
web service
quality
availability
state-transitional model
fuzzy number
Opis:
The paper describes the quality analysis of web services implemented in virtualised environment. It takes into account the reliability and performance aspects of software and hardware elements of the web service. The presented state-transitional model considers the reconfiguration process to maintain the continuity of business services. The reconfiguration is based in on the redeployment of virtual machines so for some time the system operates in a degraded state. Author propose two quality measures based on the web service availability and maximum handled requests calculated at each of degradation levels. Moreover, authors proposed to model the web service reliability parameters by fuzzy numbers. A method for calculating fuzzy membership functions of quality measures are also presented.
Źródło:
Journal of Polish Safety and Reliability Association; 2015, 6, 2; 147--152
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
Introducing and solving the hesitant fuzzy system AX = B
Autorzy:
Babakordi, Fatemeh
Allahviranloo, Tofigh
Powiązania:
https://bibliotekanauki.pl/articles/2183477.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
L∞-norm
L1-norm
hesitant fuzzy number
hesitant fuzzy system
minimization problem
Opis:
In this paper the solution for hesitant fuzzy system as AX = B is introduced where A is an n×n known hesitant fuzzy matrix, B is an n×1 known hesitant fuzzy vector and X is an n×1 unknown hesitant fuzzy vector. First, L∞-norm and L1-norm of a hesitant fuzzy vector are introduced. Then, the concepts of hesitant fuzzy zero, ’almost equal’ and ’less than’ and ’equal’ are defined for two hesitant fuzzy numbers. Finally, using a minimization problem; the hesitant fuzzy system is solved. At the end, some numerical examples are presented to show the effectiveness of the proposed method.
Źródło:
Control and Cybernetics; 2021, 50, 4; 553--574
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of demand boosting policy on optimal inventory policy for imperfect lot size with backorder in fuzzy environment
Autorzy:
Yadav, D.
Singh, S. R.
Kumari, R.
Powiązania:
https://bibliotekanauki.pl/articles/206244.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
learning curve
advertisement
signed distance
triangular fuzzy number
backorder
inventory model
Opis:
This paper investigates an Economic Order Quantity (EOQ) model with backorder by taking imprecise demand rate with dependence upon the frequency of advertisement. The formulated model also incorporates learning effects on percentage of defective items present in each lot. Due to imprecision in demand, the obtained profit function is fuzzy. To determine the optimal values, we determine the equivalent crisp profit function by applying the signed distance method. Optimal order quantity and backorder level are obtained by using algebraic method in place of differential calculus. A numerical example is used to study the behavior of the model with respect to different inventory parameters. All calculations are performed with MATLAB 7.4.
Źródło:
Control and Cybernetics; 2012, 41, 1; 191-212
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reliability study on non-contact traction power supplysystem based on fuzzy grey relational FTA
Autorzy:
Pei, Yanxia
Li, Xin
Powiązania:
https://bibliotekanauki.pl/articles/1841276.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
FTA
grey relational degree
ICPT technology
reliability research
trapezoidal fuzzy number
triangular fuzzy number
szary stopień relacyjny
technologia ICPT
badania wiarygodności
trapezoidalna liczba rozmyta
trójkątna liczba rozmyta
Opis:
The traction power supply system based on Inductively Coupled Power Transfer (ICPT) technology is one of the new traction power supply technologies that will bedeveloped in the future. As the core part of rail transit energy transfer and conversion, thetraction power supply system is not only the critical system for the safe operation of railtransit, but also the main source of its failures, so it is of great significance to study itsreliability. In this paper, the reliability analysis of the non-contact traction power supplysystem based on mobile ICPT technology is carried out using the method of (Fault Tree Analysis) FTA combined with triangular fuzzy theory and grey relational theory. Firstly,the fault tree of the system is established, and the minimum cut sets and structure functionof the fault tree are obtained. Then the triangular fuzzy numbers are introduced to representthe probability of the bottom events, and the fuzzy probability of the top event and the fuzzyimportance of the bottom events are determined, after that, the maximum probability offailure of the top event is obtained. Finally, the grey relational degrees of each minimum cutset are obtained and ranked. Furthermore, in order to prove the correctness of this method,the trapezoidal fuzzy FTA is introduced and compared with it. Both research results showthat the loosely coupled transformer and Insulated Gate Bipolar Transistor (IGBT) moduleare the weak links of the system. The results obtained are consistent and realistic, whichproves the correctness of the method selected in this article.
Źródło:
Archives of Electrical Engineering; 2021, 70, 2; 253-270
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Flexible resampling for fuzzy data
Autorzy:
Grzegorzewski, Przemyslaw
Hryniewicz, Olgierd
Romaniuk, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/330936.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
bootstrap
fuzzy data
fuzzy number
fuzzy sample
imprecise data
resampling
dane rozmyte
liczba rozmyta
dane niedokładne
Opis:
In this paper, a new methodology for simulating bootstrap samples of fuzzy numbers is proposed. Unlike the classical bootstrap, it allows enriching a resampling scheme with values from outside the initial sample. Although a secondary sample may contain results beyond members of the primary set, they are generated smartly so that the crucial characteristics of the original observations remain invariant. Two methods for generating bootstrap samples preserving the representation (i.e., the value and the ambiguity or the expected value and the width) of fuzzy numbers belonging to the primary sample are suggested and numerically examined with respect to other approaches and various statistical properties.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 2; 281-297
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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