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Wyświetlanie 1-15 z 43
Tytuł:
A study on energy of an intuitionistic fuzzy graph
Autorzy:
Gunasekaran, D.
Vijayalakshmi, R.
Powiązania:
https://bibliotekanauki.pl/articles/1046530.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Energy
Fuzzy graph
Intuitionistic fuzzy graph
Intuitionistic fuzzy set
Opis:
Let Ĝ = (V, E, ϛ, η) be a simple intuitionistic fuzzy graph. In this article, the notion of energy of the fuzzy graph is expanded to the energy of an intuitionistic fuzzy graph. The adjacency matrix of an intuitionistic fuzzy graph has been determined and evaluated the energy of an intuitionistic fuzzy graph in terms of its adjacency matrix with suitable illustrative examples. We investigated some lower and upper bounds on the energy of an intuitionistic fuzzy graph.
Źródło:
World Scientific News; 2019, 136; 134-147
2392-2192
Pojawia się w:
World Scientific News
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:
An intuitionistic fuzzy extension of the codas-sort method
Autorzy:
Ouhibi, Abir
Moalla Frikha, Hela
Powiązania:
https://bibliotekanauki.pl/articles/2027996.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
CODAS-SORT
Intuitionistic fuzzy set
Multicriteria decision aid
Sorting methods
Opis:
Currently, an important issue in multi-criteria decision-making (MCDM) problems are vagueness and lack of precision of decision-making information because of insufficient data and incapability of the decision maker to process the information. Intuitionistic fuzzy sets (IFS) are a solution to eliminate the vagueness and the uncertainty. While fuzzy sets (FS) deal with ambiguity and vagueness problem, IFSs have more advantages. Moreover, the CODAS-SORT method cannot handle the uncertainty and ambiguity of information provided by human judgments. The aim of this study is to develop an IF extension of CODAS-SORT combining this method with the IFS theory. To achieve this, we use the fuzzy weighted Euclidean distance and fuzzy weighted Hamming distance instead of the crisp distances. A case study of a supplier selection assessment is used to clarify the details of our proposed method.
Źródło:
Multiple Criteria Decision Making; 2021, 16; 110-121
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
O intuicyjnie rozmytych rekomendacjach inwestycyjnych
The intuitionistic fuzzy investment recommendations
Autorzy:
Piasecki, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/585609.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Intuicyjny zbiór rozmyty
Nieprecyzyjna stopa zwrotu
Rekomendacja inwestycyjna
Imprecise return rate
Intuitionistic fuzzy set
Investment recommendation
Opis:
Stopa zwrotu została przestawiona w artykule jako intuicyjnie rozmyty zbiór probabilistyczny. W takim przypadku oczekiwana stopa zwrotu jest wyznaczona za pomocą intuicyjnie rozmytego zbioru w przestrzeni liczb rzeczywistych. Ten wynik jest teoretyczną przesłanką dla nowych strategii inwestycyjnych. Wszystkie te strategie są rezultatem porównania intuicyjnie rozmytego indeksu zysku i pewnej granicznej wartości. W ten sposób otrzymujemy intuicyjnie rozmyte rekomendacje inwestycyjne. Kryteria równowagi finansowej są szczególnymi przypadkami porównań indeksu zysku oraz wartości granicznej. W pracy uogólniono kryteria: Sharpe’a, Jensena i Treynora. Ponadto do przypadku intuicyjnie rozmytego oczekiwanego zwrotu uogólniono kryteria bezpieczeństwa: Roya, Kataoka i Telsera. Uzyskane wyniki pokazują, że proponowana teoria jest przydatna w praktyce inwestycyjnej.
The return rate is considered here as an intuitionistic fuzzy probabilistic set. Then the expected return is obtained as an intuitionistic fuzzy subset in the real line. This result is a theoretical foundation for new investment strategies. All considered strategies result of comparison profit fuzzy index and limit value. In this way we obtain an imprecise investment recommendation. Financial equilibrium criteria are a special case of comparison the profit index and the limit value. There are generalized the following criteria: the Sharpe’s Ratio, the Jensen’s Alpha and the Treynor’s Ratio. Moreover, the safety-first criteria are generalized here for the fuzzy case. The Roy’s Criterion, the Kataoka’s Criterion and the Telser’s Criterion are also generalized. Obtained here results show, that proposed theory is useful for the investment applications.
Źródło:
Studia Ekonomiczne; 2016, 298; 62-76
2083-8611
Pojawia się w:
Studia Ekonomiczne
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:
Basic properties of a new class of parametric intuitionistic fuzzy implications
Autorzy:
Dworniczak, P.
Powiązania:
https://bibliotekanauki.pl/articles/206173.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
parametric fuzzy implication
intuitionistic fuzzy logic
Opis:
In this paper a new class of intuitionistic fuzzy implications is introduced. Fulfillment of some axioms and properties together with Modus Ponens and Modus Tollens inference rules is investigated. Negation induced by implication is presented.
Źródło:
Control and Cybernetics; 2011, 40, 3; 793-804
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Similarity measures for Atanassov’s intuitionistic fuzzy sets : some dilemmas and challenges
Autorzy:
Szmidt, Eulalia
Kacprzyk, Janusz
Bujnowski, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/2183493.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
similarity measures
Atanassov’s intuitionistic fuzzy sets
distances
complement
Opis:
We discuss some aspects of similarity measures in the context of Atanassov’s intuitionistic fuzzy sets (IFSs, for short). IFSs, proposed in 1983, are a relatively new tool for the modeling and simulation and, because of their construction, present us with new challenges as far the similarity measures are concerned. Specifically, we claim that the distances alone are not a proper measure of similarity for the IFSs. We stress the role of a lack of knowledge concerning elements (options, decisions, etc.) and point out the role of the opposing (complementing) elements. We also pay attention to the fact that it is not justified to talk about similarity when one has not enough knowledge about the compared objects/elements. Some novel measures of similarity are presented.
Źródło:
Control and Cybernetics; 2022, 51, 2; 249--266
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New transitivity of Atanassov’s intuitionistic fuzzy sets in a decision making model
Autorzy:
Pękala, Barbara
Grochowalski, Piotr
Szmidt, Eulalia
Powiązania:
https://bibliotekanauki.pl/articles/2055145.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optimistic transitivity
pessimistic transitivity
preference relations
optimistic intuitionistic fuzzy negations
pessimistic intuitionistic fuzzy negations
przechodniość optymistyczna
przechodniość pesymistyczna
relacja preferencji
Opis:
Atanassov’s intuitionistic fuzzy sets and especially his intuitionistic fuzzy relations are tools that make it possible to model effectively imperfect information that we meet in many real-life situations. In this paper, we discuss the new concepts of the transitivity problem of Atanassov’s intuitionistic fuzzy relations in an epistemic aspect. The transitivity property reflects the consistency of a preference relation. Therefore, transitivity is important from the point of view of real problems appearing, e.g., in group decision making in preference procedures. We propose a new type of optimistic and pessimistic transitivity among the alternatives (options) considered and their use in the procedure of ranking the alternatives in a group decision-making problem.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 4; 563--576
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solving Hexagonal Intuitionistic Fuzzy Fractional Transportation Problem Using Ranking and Russell’s Method
Autorzy:
Anju, A.
Powiązania:
https://bibliotekanauki.pl/articles/1062797.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Fractional Transportation Problem
Intuitionistic Fuzzy
Ranking Method
Russell’s Method
Opis:
This paper presents a solution for fractional transportation problem in an intuitionistic fuzzy environment in which cost are represented by hexagonal intuitionistic fuzzy numbers. Fuzzy fractional transportation is a special kind of optimization problem which is associated with our day to day activities. An optimal solution is found out to show the effectiveness of this method. In this, the problem is solved using ranking and Russell’s method for hexagonal intuitionistic fuzzy numbers. An illustrative example is provided to demonstrate the feasibility of this method.
Źródło:
World Scientific News; 2019, 133; 234-247
2392-2192
Pojawia się w:
World Scientific News
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 compositional approach to two-stage Data Envelopment Analysis in intuitionistic fuzzy environment
Autorzy:
Javaherian, Nafiseh
Hamzehee, Ali
Tooranloo, Hossein Sayyadi
Powiązania:
https://bibliotekanauki.pl/articles/2099430.pdf
Data publikacji:
2022
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
data envelopment analysis
intuitionistic fuzzy
two-stage DEA
triangular numbers
Opis:
Classical methods of data envelopment analysis operate by measuring the efficiency of decision- -making units (DMUs) compared to similar units, without taking their internal structure into account. However, some DMUs consist of two stages, with the first stage producing an intermediate product, which is then consumed in the second stage to produce the final output. The efficiency of this type of DMU is often measured using two-stage network data envelopment analysis. In real world, most data are vague. Therefore, the inputs and outputs of systems with vagueness data create uncertainty challenges for DMUs. As a result, when uncertainty appears, intuitionistic fuzzy sets can show more information than classical fuzzy sets. This paper presents a model of two-stage Network Data Envelopment Analysis based on intuitionistic fuzzy data, which measures the efficiency of the first and second stages of each DMU, and the overall efficiency measures based on the stage efficiencies.
Źródło:
Operations Research and Decisions; 2021, 31, 1; 21--39
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An application of intuitionistic fuzzy analytic hierarchy process in ship system risk estimation
Autorzy:
Nguyen, H.
Powiązania:
https://bibliotekanauki.pl/articles/244796.pdf
Data publikacji:
2016
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
intuitionistic fuzzy sets
risk estimation
expert judgment
ship propulsion system
analytic hierarchy process (AHP)
sea transport
Opis:
In this paper, we extend the analytic hierarchy process (AHP) method and the Atanassov’s intuitionistic fuzzy set (IFS) into the intuitionistic fuzzy analytic hierarchy process (IFAHP) with application in ship system risk estimation. In the safety engineering, risk estimation is in practice confronted with difficulties connected with shortage of data. In such cases, we have to rely on subjective estimations made by persons with practical knowledge in the field of interest, i.e. experts. However, in some realistic situations, the decision makers might be reluctant or unable to assign the crisp evaluation values to the comparison judgments due to his/her limited knowledge. In other words, there is a certain degree of hesitancy in human cognition and his judgment. Taking advantages of IFSs in dealing with ambiguity and uncertainty into account, the IFAHP can be used to handle with the subjective preferences of experts, who may have insufficient knowledge of the problem domain or uncertainty in assigning the evaluation values to the objects considered. This paper also develops a new knowledge-based ranking method to derive the priority vector of the hierarchy. An illustrative example of the propulsion risk estimation of container carriers operating on the North Atlantic line is given to show the applicability and effectiveness of the proposed method.
Źródło:
Journal of KONES; 2016, 23, 3; 365-372
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Intuitionistic Fuzzy TOPSIS model for troubleshooting an Offshore Patrol Boat Engine
Autorzy:
Osezua-Aikhuele, D.
Sorooshian, S.
Hannis-Ansah, R.
Mohd-Turan, F.
Powiązania:
https://bibliotekanauki.pl/articles/259480.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
Intuitionistic Fuzzy TOPSIS model
improved score function
MCDM
detecting early failure
Offshore Patrol Boat Engine
Opis:
In this paper, an Intuitionistic Fuzzy TOPSIS model which is based on a score function is proposed for detecting the root cause of failure in an Offshore Boat engine, using groups of expert’s opinions. The study which has provided an alternative approach for failure mode identification and analysis in machines, addresses the machine component interaction failures which is a limitation in existing methods. The results from the study show that although early detection of failures in engines is quite difficult to identify due to the dependency of their systems from each other. However, with the Intuitionistic Fuzzy TOPSIS model which is based on an improved score function such faults/failures are easily detected using expert’s based opinions.
Źródło:
Polish Maritime Research; 2017, 2; 68-76
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
Autorzy:
Derseh, Beza Lamesgin
Alaba, Berhanu Assaye
Wondifraw, Yohannes Gedamu
Powiązania:
https://bibliotekanauki.pl/articles/43179778.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
PMS-algebra
intuitionistic fuzzy PMS-subalgebra
homomorphism
cartesian product and strongest intuitionistic fuzzy relation
Opis:
In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS-subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.
Źródło:
Bulletin of the Section of Logic; 2023, 52, 1; 19-38
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Remarks of Different Aggregation Modes Applications Within the Framework of Intuitionistic Fuzzy Weights
Autorzy:
Tikhonenko-Kędziak, A.
Kurkowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/121800.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
zbiór rozmyty
liczba rzeczywista
MCDM
fuzzy set
real numbers
Opis:
In the classical intuitionistic fuzzy sets theory it is known, that the use of all aggregation modes is not always possible, because of the lack of definition of raising intuitionistic fuzzy values to the intuitionistic fuzzy power. The main aim of this work is to introduct an operation of raising of intuitionistic fuzzy values to an intuitionistic fuzzy power,which does not require conversion to intuitionistic fuzzy values. Additionally, we will present a heuristic method of raising an intuitionistic fuzzy values to the intuitionistic fuzzy power and consideration about its properties.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2016, 21; 145-159
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 43

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