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Wyświetlanie 1-15 z 40
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:
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:
On Sequencing Fuzzy Interval Games
Autorzy:
Özcan, İsmail
Alparslan Gök, Sırma Zeynep
Weber, Gerhard-Wilhelm
Powiązania:
https://bibliotekanauki.pl/articles/27324203.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
sequencing situations
fuzzy interval
cooperative game
convex game
equal gain splitting rule
Opis:
In sequencing situations, it may affect parameters used to determine an optimal order in the queue, and consequently the decision of whether (or not) to rearrange the queue by sharing the realized cost savings. In this paper, we extend one machine sequencing situations and their related cooperative games under fuzzy uncertainty. Here, the agents costs per unit of time and processing time in the system are fuzzy intervals. In the sequel, we define sequencing fuzzy interval games and show that these games are convex. Further, fuzzy equal gain splitting rule is given. Finally, a numerical example is illustrated priority based scheduling algorithm.
Źródło:
Management and Production Engineering Review; 2023, 14, 4; 10--18
2080-8208
2082-1344
Pojawia się w:
Management and Production Engineering Review
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:
Three-dimensional fuzzy control of ultrasonic cleaning
Autorzy:
Morkun, Volodymyr
Kravchenko, Olha
Powiązania:
https://bibliotekanauki.pl/articles/2115809.pdf
Data publikacji:
2021
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
ultrasonic cleaning
3D fuzzy interval type 2 logic
modeling
spatially distributed systems
Opis:
Consideration of ultrasonic cleaning as a process with distributed parameters enables reduction of power consumption. This approach is based on establishment of control over the process depending on fixed values of ultrasonic responses in set points. The initial intensity of radiators is determined using a three-dimensional (3D) interval type-2 fuzzy logic controller essentially created for processes with distributed parameters, as well as complex expert evaluation of the input data. The interval membership functions for the input and output data consider the space heterogeneity of ultrasonic cleaning. A rule base is formed, which is 2D and not dependent upon the number of input and output parameters. A model illustrating ultrasonic cleaning with a 3D interval type-2 fuzzy logic controller is designed. Comparative analysis of the output parameters of the proposed model and the traditional method indicates an increase in the energy efficiency by 41.17% due to application of only those ultrasonic radiators that are located next to the contamination.
Źródło:
Acta Mechanica et Automatica; 2021, 15, 3; 169--176
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
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:
Interval valued Fermatean fuzzy interior (bi) Γ – hyperideals in Γ – hypersemigroups
Autorzy:
Subha, V. S.
Sharmila, S.
Powiązania:
https://bibliotekanauki.pl/articles/1193349.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Interval valued Fermatean fuzzy
Interval valued Fermatean fuzzy bi Γ - hyperideal
Interval valued Fermatean fuzzy interior Γ - hyperideal
Interval valued Fermatean fuzzy set
Γ - hypersemigroup
Γ - subsemihypergroup
Opis:
Interval valued Fermatean fuzzy set is an exyension of Fermatean fuzzy set. It is a combination of interval valued fuzzy set and Fermatean fuzzy set. In this paper we propose the notion of interval valued Fermatean fuzzy et. It is a pair of intevral numbers such that the sum of the ccubic of the upper bounds should be less than or equal to one. Some basic properties based on interval valued Feramtean fuzzy set is studied. We introduce the concept of interval valued Feramtean fuzzy Γ - subsemihypergroup, interval valued Feramtean fuzzy (bi, interior) Γ - hypersemigroup. Relation between these Γ - hyperideals are also discussed with suitable examples. Finally the inverse image of an interval valued Feramtean fuzzy set is established and also proved that the inverse image of an interval valued Feramtean fuzzy (bi, interior) Γ - hyperideal is also an interval valued Feramtean fuzzy (bi, interior) Γ - hyperideal.
Źródło:
World Scientific News; 2021, 154; 117-132
2392-2192
Pojawia się w:
World Scientific News
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
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:
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:
Fuzzy recursive relationships in relational databases
Autorzy:
Myszkorowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/95091.pdf
Data publikacji:
2018
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Wydawnictwo Szkoły Głównej Gospodarstwa Wiejskiego w Warszawie
Tematy:
fuzzy databases
interval-valued fuzzy sets
recursive relationships
relational algebra
fixpoint operator
Opis:
Recursive relationships are used for modelling problems coming from the real life, such as, for example, a relationship describing formal dependencies between employees of an enterprise, where creation of work groups and teams requires analysis of many elements. In conventional database systems, the precision of data is assumed. If our knowledge of the fragment of reality to be modelled is imperfect one should apply tools for describing uncertain or imprecise information. One of them is the fuzzy set theory. The paper deals with recursive relationships in fuzzy databases. The analysis is performed with the use of the theory of interval-valued fuzzy sets. A definition of a fuzzy interval recursive relationship has been presented. The paper defines different connections of entities which participate in such relationships. Operations of the extended relational algebra are also discussed.
Źródło:
Information Systems in Management; 2018, 7, 1; 35-46
2084-5537
2544-1728
Pojawia się w:
Information Systems in Management
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:
Group Decision Making Problem by General Convexity or Concavity and Aggregation Process
Autorzy:
Pękala, B.
Powiązania:
https://bibliotekanauki.pl/articles/950993.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
aggregation function
interval-valued fuzzy sets
S-convexity
T-concavity
Opis:
The averaging aggregation operators are defined and some interesting properties are derived. Moreover, we have extended concave and convex property. The main results concerning aggregation of generalized quasiconcave and quasiconvex functions are presented and some their properties are derived and discussed. The class of concavity and convexity of two variable aggregation operators that preserve these properties are studied.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2016, 10, 4; 62-69
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interval Type-2 fuzzy Exponentially Weighted Moving Average Control Chart
Autorzy:
Adepoju, Akeem Ajibola
Abdulkadir, Sauta S.
Jibasen, Danjuma
Chiroma, Haruna
Powiązania:
https://bibliotekanauki.pl/articles/2021442.pdf
Data publikacji:
2022-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
Exponentially weighted moving average control chart
Fuzzy control chart
Fuzzy sets
Interval Type-2 fuzzy sets
Interval Type-2 fuzzy Exponentially Weighted Moving Average Control Chart
Statistical process control
Opis:
Some industrial data often come with uncertainty, which in some cases depends on the decision of those responsible for taking the measurement in the production process. While the fuzzy approach helps to tackle the ambiguity that arises in the measurement, an interval type-2 fuzzy set deals with such uncertainty better due to its flexibility over the control limits of its control chart. This paper aims to develop an Interval Type-2 fuzzy Exponentially Weighted Moving Average Control Chart (IT2FEWMA) under the fuzzy type-2 condition. This development will facilitate monitoring small and moderate shifts in the production process in conditions of uncertainty.
Źródło:
Statistics in Transition new series; 2022, 23, 1; 185-200
1234-7655
Pojawia się w:
Statistics in Transition new series
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
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