Search results for "fuzzy"

Constructing the Audit Risk Assessment by the Audit Team Leader When Planning: Using Fuzzy Theory

2021

The aim of this study is to construct the assessment of the expected audit risk by the audit team leader (ATL) during the planification phase of the audit. The ATL plays an important role within the audit, and even more so regarding small and medium-sized (SME) audit firms. The audit risk assessment is critical as relying more (less) on internal controls implemented by the client leads to performing less (more) substantive audit procedures. This is determined by the ATL based on their professional judgement and previous experience. The use of fuzzy theory has powerful potential into the audit arena, as the audit risk assessment (outcome) is critically related to the auditors’ judgement and …

γ‐Agregation operators and some aspects of generalized aggregation problem

2010

We explore questions related to the aggregation operators and aggregation of fuzzy sets. No preliminary knowledge of the aggregation operators theory and of the fuzzy sets theory are required, because all necessary information is given in Section 2. Later we introduce a new class of γ‐aggregation operators, which “ignore” arguments less than γ. Due to this property γ‐aggregation operators simplify the aggregation process and extend the area of possible applications. The second part of the paper is devoted to the generalized aggregation problem. We use the definition of generalized aggregation operator, introduced by A. Takaci in [7], and study the pointwise extension of a γ‐agop. First publ…

Polynomial Fuzzy Models for Nonlinear Control: A Taylor Series Approach

2009

Classical Takagi-Sugeno (T-S) fuzzy models are formed by convex combinations of linear consequent local models. Such fuzzy models can be obtained from nonlinear first-principle equations by the well-known sector-nonlinearity modeling technique. This paper extends the sector-nonlinearity approach to the polynomial case. This way, generalized polynomial fuzzy models are obtained. The new class of models is polynomial, both in the membership functions and in the consequent models. Importantly, T-S models become a particular case of the proposed technique. Recent possibilities for stability analysis and controller synthesis are also discussed. A set of examples shows that polynomial modeling is…

Identification of effective parameters for anti-inflammatory concentration in València City's wastewater using fuzzy-set qualitative comparative anal…

2019

The current literature about pharmaceutical and personal care compounds (PPCPs) focuses on identifying their concentration and toxicological risk both in surface water and in wastewater. However, the influence of urban areas (population ageing, income level, hospitals and others) has not yet been analysed. Knowing how a population (and its facilities) affects PPCPs' presence in wastewater is important to identify the conditions that are responsible for their presence. In this work, the influence of water consumption, population ageing, income level, hospitals and nursing homes on the anti-inflammatory concentration have been analysed. To fill the gap between the quantitative data on PPCPs' …

Stability and l1-gain analysis for positive 2D T–S fuzzy state-delayed systems in the second FM model

2014

This paper considers the problems of delay-dependent stability and l"1-gain analysis for a class of positive two-dimensional (2D) Takagi-Sugeno (T-S) fuzzy linear systems with state delays described by the second FM model. Firstly, the co-positive type Lyapunov function method is applied to establish sufficient conditions of asymptotical stability for the addressed positive 2D T-S fuzzy system. Then, the l"1-gain performance analysis for the positive 2D T-S fuzzy delayed system is studied. All the obtained results are formulated in the form of linear matrix inequalities (LMIs) which are computationally tractable. Finally, an illustrative example is given to verify the effectiveness of the p…

The analysis of poverty in Italy. A fuzzy dynamic approach

2004

The commonly used criterion to sharply separate the poor from the non poor on the basis of a poverty threshold appears to be too severe in comparison with the nature of poverty. The latter is multidimensional in its components (domain) and continue in its states (codomain). Moreover an income-based poverty line allows for a remarkable number of spurious transitions below and over that line, which do not correspond to true variations in household’s standard of living. This study starts from the analysis of common (with crisp states) transition matrices; then a fuzzy multidimensional poverty indicator is built. In conclusion, fuzzy states transition matrices synthesize interpretative content …

Cyclic Dynamic Evaluation of Logistics Services Stakeholders Based on System with OFN Model

2021

The challenge for enterprises and supply chains is to deliver successful logistics services in compliance with their aims. Logistics services are affected by many stakeholders. Recognizing their impact on the undertaken services is important for the planning and execution of a sufficiently rigorous stakeholder management process. The aim of the paper is to present a new approach to the analysis of stakeholders - cyclic dynamic evaluation, which could be used in service management, such as in logistics services. We present a novel fuzzy inference system based on the mathematical apparatus of Ordered Fuzzy Numbers (OFNs). The evaluation of stakeholders consists in assessing key factors as - f…

Project manager assignment by fuzzy inference and mathematical programming

2008

SZACOWANIE CZASU REALIZACJI PROJEKTU PRZY NIEPRECYZYJNYCH ZMIENNYCH

2017

Praca przedstawia istotę i znaczenie problemu szacowania czasu realizacji projektów w warunkach niepewności i ryzyka z zastosowaniem skierowanych liczb rozmytych. W pracy przedstawiono autorskie podejście do szacowania czasu realizacji projektów bazujące na rozmytym modelu niepewności czasów czynności projektowych ze skierowaniem. Zaprezentowana rozszerzona metoda ścieżki krytycznej jest nowym podejściem, które do tej pory nie było prezentowane w takim ujęciu w literaturze tematu. W celu weryfikacji poprawności prezentowanego podejścia przedstawiono przykład obliczeniowy ilustrujący dany problem. Przedstawiono zalety proponowanego podejścia. Podejście to może znaleźć zastosowania w praktyce…

Neural network approach to solving fuzzy nonlinear equations using Z-numbers

2020

In this article, the fuzzy property is described by means of the Z-number as the coefficients and variables of the fuzzy equations. This alteration for the fuzzy equation is appropriate for system modeling with Z-number parameters. In this article, the fuzzy equation with Z-number coefficients and variables is tended to be used as the models for the uncertain systems. The modeling issue related to the uncertain system is to obtain the Z-number coefficients and variables of the fuzzy equation. Nevertheless, it is extremely hard to get the Z-number coefficients of the fuzzy equations. In this article, in order to model the uncertain nonlinear systems, a novel structure of the multilayer neura…