Wyniki wyszukiwania - Biblioteka Nauki

1

An approach to generalization of the intuitionistic fuzzy topsis method in the framework of evidence theory

100%

Dymova L. , Kaczmarek K. , Sevastjanov P. , Sułkowski Ł. , Przybyszewski K.

Journal of Artificial Intelligence and Soft Computing Research

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2021

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tom Vol. 11, No. 2

157--175

EN

A generalization of technique for establishing order preference by similarity to the ideal solution (TOPSIS) in the intuitionistic fuzzy setting based on the redefinition of intuitionistic fuzzy sets theory (A−IFS) in the framework of Dempster-Shafer theory (DST) of evidence is proposed. The use of DST mathematical tools makes it possible to avoid a set of limitations and drawbacks revealed recently in the conventional Atanassov’s operational laws defined on intuitionistic fuzzy values, which may produce unacceptable results in the solution of multiple criteria decision-making problems. This boosts considerably the quality of aggregating operators used in the intuitionistic fuzzy TOPSIS method. It is pointed out that the conventional TOPSIS method may be naturally treated as a weighted sum of some modified local criteria. Because this aggregating approach does not always reflects well intentions of decision makers, two additional aggregating methods that cannot be defined in the framework of conventional A−IFS based on local criteria weights being intuitionistic fuzzy values, are introduced. Having in mind that different aggregating methods generally produce different alternative rankings to obtain the compromise ranking, the method for aggregating of aggregation modes has been applied. Some examples are used to illustrate the validity and features of the proposed approach.

2

Recent soft computing methods in software reliability engineering

100%

Albeanu G. , Duda G.

Journal of Polish Safety and Reliability Association

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2011

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tom Vol. 2, No. 1

1--10

EN

This paper presents recent approaches in soft computing to manage imprecision and uncertainty which appear in software reliability engineering. Firstly, recent approaches like imprecise probabilities, generalized intervals, fuzzy sets and intuitionistic-fuzzy sets are shortly described, and the usage of intuitionistic fuzzy numbers for system reliability computation is shown. Intuitionistic-fuzzy approaches for software reliability growth models are proposed and experimental results are given.

3

Fuzzy modal operators and their applications

88%

Radzikowska A. M.

Journal of Automation Mobile Robotics and Intelligent Systems

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2017

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tom Vol. 11, No. 1

10--20

EN

In this paper we present some fuzzy modal operators and show their two possible applications. These operators are fuzzy generalizations of modal operators well-known in modal logics. We present an application of some compositions of these operators in approximations of fuzzy sets. In particular, it is shown how skills of candidates can be matched for selecting research projects. The underlying idea is based on the observation that fuzzy sets approximations can be viewed as intuitionistic fuzzy sets introduced by Atanassov. Distances between intuitionistic fuzzy sets, proposed by Szmidt and Kacprzyk, support the reasoning process. Also, we point out how modal operators are useful for representing linguistic hedges, that is terms like “very”, “definitely”, “rather”, or “more or less”.

4

Probability of the Fuzzy Events and its Application in Some Economic Problems

88%

Gerstenkorn T. , Mańko J. , University of Lodz , XXXI Secondary School of Lodz , tadger@math.uni.lodz.pl , matmamaster@o2.pl

Acta Universitatis Lodziensis. Folia Oeconomica

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2013

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tom 286

EN

In the paper we present some conceptions of probability of fuzzy events, especially of intuitionistic fuzzy events and discuss them in one perspective and show the utility and helpfulness of using the probability calculus to a valuation of some economic situations. Section 1. Introduction. Probability of fuzzy events according to the idea of L.A. Zadeh. Section 2. Intuitionistic fuzzy sets of K. Atanassov. Section 3. Intuitionistic fuzzy event (IFE) and its probability according to the results of T. Gerstenkorn and J. Mańko. Section 4. Probability of IFE by using the theorems of decomposition and extension principle of D. Stoyanova. Section 5. Probability of IFE according to the ideas of E. Szmidt and J. Kacprzyk. Section 6. A large example showing utility and helpfulness of using a probability calculus to evaluation of some economic problems. A comparison of different results by using different methods of probability proposals. Section 7. Final remarks

PL

Praca ma ukazać zastosowanie prawdopodobieństwa zdarzenia rozmytego do oceny pewnych sytuacji ekonomicznych. W części wstępnej artykułu zarysowano ogólną ideę tak zwanego zbioru rozmytego wprowadzoną do nauki i praktyki przez L.A. Zadeha w 1965 r. Koncepcja ta wyrosła na podstawie rozwijającej się od początków XX wieku logiki wielowartościowej przy wybitnym wkładzie w tej dziedzinie polskich uczonych. Zainteresowanie tą teorią w Polsce było i jest duże, i to podniesiono w rozdziale 1. W rozdziale 2 omówiono pewne uogólnienie teorii Zadeha zaproponowane przez K. Atanassova. Ukazano zalety wprowadzenia do rozważań oprócz tzw. funkcji przynależności także funkcji nieprzynależności elementu do pewnego zbioru, a w konsekwencji pojęcia tzw. marginesu niepewności, co odpowiada wielu sytuacjom spotykanym w praktyce. Zilustrowano to przykładami. Zbiory tak scharakteryzowane nazywa się intuicjonistycznymi rozmytymi lub dwoisto rozmytymi. Rozdział 3 omawia prawdopodobieństwo zdarzenia rozmytego na podstawie prac własnych Rozdziały 4 i 5 przedstawiają inne koncepcje prawdopodobieństwa niedawno zaproponowane. Rozdział 6 stanowi ilustrację sposobu obliczenia prawdopodobieństwa według różnych koncepcji w odniesieniu do problematyki ekonomicznej. Daje to obraz zalety prognozowania opartego na wiedzy. Rozdział 7 zawiera uwagi końcowe.

5

Intuitionistic fuzzy sets clustering (IFSC) with an application in psychology

75%

Pasha E. , Fatemi A.

Journal of Mathematics and Applications

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2006

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tom Vol. 28

113-120

EN

In this paper we present a new method for clustering when the sets are IFS.To reach this goal we use distance content in IFSs and hierarchical clustering methods.

6

An application of intuitionistic fuzzy analytic hierarchy process in ship system risk estimation

75%

Nguyen H.

Journal of KONES

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2016

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tom Vol. 23, No. 3

365--372

EN

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.

7

75%

Arora H. D. , Naithani A.

Operations Research and Decisions

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2022

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tom Vol. 32, No. 1

5--24

EN

The intuitionistic fuzzy sets (IFSs) have a more significant contribution to describing and dealing with uncertainty. The intuitionistic fuzzy measure is a significant consideration in the field of IFSs theory. However, Pythagorean fuzzy sets (PFSs) are an extension of the IFSs. PFSs are more capable of modelling uncertainties than IFSs in real-world decision-making scenarios. The majority of PFSs research has concentrated on establishing decision-making frameworks. A similarity measure is a key concept which measures the closeness of PFSs. IFSs-based similarity measures have been proposed in the literature. This type of similarity measure, however, has a drawback since it cannot satisfy the axiomatic definition of similarity by offering counter-intuitive examples. For this study, a similarity-based on logarithmic function for Pythagorean fuzzy sets (PFSs) is proposed as a solution to the problem. A decision-making approach is presented to ascertain the suitability of careers for aspirants. Additionally, numerical illustration is applied to determine the strength and validity of the proposed similarity measures. The application of the proposed similarity measures is also presented in this article. A comparison of the suggested measures with the existing ones is also demonstrated to ensure the reliability of the measures. The results show that the proposed similarity measures are efficient and reasonable from both numerical and realistic assessments.

8

75%

ARORA H. D. , NAITHANI A.

Operations Research and Decisions

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2022

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tom 32

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nr 1

5-24

EN

The intuitionistic fuzzy sets (IFSs) have a more significant contribution to describing and dealing with uncertainty. The intuitionistic fuzzy measure is a significant consideration in the field of IFSs theory. However, Pythagorean fuzzy sets (PFSs) are an extension of the IFSs. PFSs are more capable of modelling uncertainties than IFSs in real-world decision-making scenarios. The majority of PFSs research has concentrated on establishing decision-making frameworks. A similarity measure is a key concept which measures the closeness of PFSs. IFSs-based similarity measures have been proposed in the literature. This type of similarity measure, however, has a drawback since it cannot satisfy the axiomatic definition of similarity by offering counter-intuitive examples. For this study, a similarity-based on logarithmic function for Pythagorean fuzzy sets (PFSs) is proposed as a solution to the problem. A decision-making approach is presented to ascertain the suitability of careers for aspirants. Additionally, numerical illustration is applied to determine the strength and validity of the proposed similarity measures. The application of the proposed similarity measures is also presented in this article. A comparison of the suggested measures with the existing ones is also demonstrated to ensure the reliability of the measures. The results show that the proposed similarity measures are efficient and reasonable from both numerical and realistic assessments.

9

An Intuitionistic Approach for Ranking OTA Websites under Multi Criteria Group Decision Making Framework

63%

Aggarwal A. G. , Sharma H. , Tandon A.

Annals of Computer Science and Information Systems

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2018

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tom Vol. 14

21--27

EN

The transformations from approaches based on crisp set towards fuzzy set were introduced to include the uncertainty experienced in decision making. But the problem of hesitation about any alternative still prevailed among the decision makers. Later, an extension of fuzzy sets, the intuitionistic fuzzy sets, filled the gap between the degree of satisfaction and the degree of dissatisfaction encountered by the decision makers. Also, the biasness noticed while comparing a number of alternatives based on multiple criteria by a single person, necessitated for a multi criteria group decision making (MCGDM) approach. In this paper, we propose a hybrid model that combines the MCGDM techniques of intuitionistic fuzzy analytical hierarch process (IFAHP) and intuitionistic fuzzy multi objective optimization on the basis of ratio analysis (IFMOORA). The IFAHP technique is used to find the criteria weights and IFMOORA technique is used for overall ranking of OTA websites. To validate the proposed model, we apply it to rank online travel agencies (OTA) websites on the basis of a number of success factors. The model developed is flexible and can be further applied to various selection problems.

10

The intuitionistic fuzzy synthetic measure in a dynamic analysis of the subjective quality of life of citizens of European cities

63%

Kusterka-Jefmańska M. , Roszkowska E. , Jefmański B.

Economics and Environment

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2024

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tom No. 1

art. no. 708

EN

The paper aims to measure and assess changes regarding the SQoL experienced by the residents of selected European cities over time. An Intuitionistic Fuzzy Synthetic Measure (IFSM) was applied to measure the SQoL. The measure allows taking into account the element of uncertainty expressed in the lack or refusal to answer. The analysis uses the results of studies on the SQoL conducted by the European Commission in the selected European cities. The method of constructing a pattern object proposed in the article allowed for assessing changes in the SQoL level of European city residents over time. The analysis showed that the subjective quality of life of the residents of European cities is systematically increasing during the period 2006-2019. However, we still observe large differences in the level of this phenomenon among the cities. The results of the research can be used to formulate assumptions or modify urban policies in EU cities to improve the quality of life of citizens.

PL

Celem artykułu jest pomiar i ocena zmian subiektywnej jakości życia (SQoL) mieszkańców wybranych miast europejskich. Do pomiaru SQoL zastosowano Intuicyjną Rozmytą Miarę Syntetyczną (IFSM). Miara pozwala uwzględnić element niepewności wyrażający się w braku lub odmowie udzielenia odpowiedzi. W analizie wykorzystano wyniki badań SQoL przeprowadzonych przez Komisję Europejską w wybranych miastach europejskich. Zaproponowany w artykule sposób konstrukcji obiektu wzorcowego pozwolił na ocenę zmiany poziomu SQoL mieszkańców miast europejskich w czasie. Analiza wykazała, że subiektywna jakość życia mieszkańców miast europejskich systematycznie wzrastała w latach 2006-2019. Nadal jednak obserwujemy duże różnice w poziomie tego zjawiska pomiędzy miastami. Wyniki badań można wykorzystać do formułowania założeń lub modyfikacji polityk miejskich w miastach UE w celu poprawy jakości życia obywateli.

11

Wykorzystanie intuicjonistycznych zbiorów rozmytych do oceny ryzyka w projekcie

63%

Kuchta D. , Ptaszyńska E.

Zeszyty Naukowe / Wyższa Szkoła Oficerska Wojsk Lądowych im. gen. T. Kościuszki

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2014

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tom Nr 2

164--173

PL

Artykuł zawiera propozycję wykorzystania intuicjonistycznych zbiorów rozmytych do oceny ryzyka w projekcie. Intuicjonistyczne zbiory rozmyte są uogólnieniem zbiorów rozmytych. Intuicjonistyczny zbiór rozmyty A = { : x∈X }, gdzie μA(x) i νA(x) oznaczają odpowiednio stopień przynależności i nie przynależności elementu do zbioru A. Ryzyko projektowe będzie rozpatrywane jako możliwe zdarzenie z negatywnymi konsekwencjami dla projektu. W proponowanej koncepcji dwa podstawowe atrybuty ryzyka: prawdopodobieństwo wystąpienia i konsekwencje są wyrażane za pomocą wyrażeń słownych lub liczbowo. Ich wartości generowane są na podstawie μA(x) i νA(x). Propozycja została zweryfikowana na przykładowych projektach rolnych. W artykule przedstawiono także zalety i wady proponowanego narzędzia.

EN

The paper contains the concept of using intuitionistic fuzzy sets to assess project risk. Intuitionistic fuzzy sets are defined as the generalization of fuzzy sets. Intuitionistic fuzzy set A = { : x∈X }, where μA(x) and νA(x) denote the degree of membership and the degree of non–membership of x, respectively. Project risk is considered here as a possible event with negative consequences for the project. In the proposed concept two basic risk attributes, namely the probability of risk and its consequences, may be expressed numerically or in words. Their values are generated by using μA(x) and νA(x). The proposal has been verified on the basis of agricultural projects. The paper presents the main strengths and weaknesses of using proposed tool.