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1.
Fuzzy model for estimating the risk of infection by Covid-19
Janez Usenik, 2020, izvirni znanstveni članek

Opis: The present paper presents a fuzzy model for predicting the risk of a community (country) to being infected by the coronavirus Covid-19. The research is not the medical field, where favourable news about vaccines against this disease is just emerging from the research community. Instead, it presents a relatively simple mathematical model based on the use of fuzzy logic. The model is created as a fuzzy system, in which the basic postulates of fuzzy logic and fuzzy inference are used. The presented model is, of course, only one possibility for describing and predicting the threat to the population due to the Covid-19 disease.
Ključne besede: Covid-19, fuzzy variable, fuzzy inference, risk of infections
Objavljeno v DKUM: 01.12.2023; Ogledov: 239; Prenosov: 7
.pdf Celotno besedilo (557,47 KB)
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2.
Generalised fuzzy linear programming
Janez Usenik, Maja Žulj, 2023, izvirni znanstveni članek

Opis: Linear programming is one of the widely used methods for optimising business systems, which includes organisational, financial, logistic and control subsystems of energy systems in general. It is possible to express numerous real-world problems in a form of linear program and then solve by simplex method [1]. In the development of linear programming, we are facing a number of upgrades and generalisations, as well as replenishment. Particularly interesting in recent years is an option that decision variables and coefficients are fuzzy numbers. In this case we are dealing with fuzzy linear programming. If we also include in a fuzzy linear program a generalisation with respect to Wolfe’s modified simplex method [1], we obtain a generalised fuzzy linear program (GFLP). Usenik and Žulj introduced methods for solving those programs and proved the existence of the optimal solution in [2]. In the article, the simplex algorithm which enables the determining of an optimal solution for GFLP is described. There is a numerical example at the end of the article that illustrates the algorithm.
Ključne besede: linear programming, fuzzy linear programming, generalised linear programming, generalised fuzzy linear programmin
Objavljeno v DKUM: 11.10.2023; Ogledov: 148; Prenosov: 4
.pdf Celotno besedilo (21,53 MB)
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3.
A fuzzy model of power supply system control
Janez Usenik, 2012, izvirni znanstveni članek

Opis: In this article, a mathematical model of control of a dynamic system is described; one such system could be a power supply system. Analytical approaches that have been developed to describe the influence of production and stock, i.e. additional capacities, require a hierarchical spatial pattern and demand. Demand is usually an inherently stochastic process, but in this article we simulate it as an output fuzzy variable in a fuzzy system, in which all the input variables are also fuzzy. Furthermore, an interesting use of neural sets is shown, which is presented as an efficient method for the optimisation of the fuzzy system. At the end, a numerical example is given.
Ključne besede: power supply system, energy capacities, demand, fuzzy logic, neural net
Objavljeno v DKUM: 10.07.2015; Ogledov: 2275; Prenosov: 31
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System control in conditions of discrete stochastic input process
Janez Usenik, Maja Žulj, 2012, izvirni znanstveni članek

Ključne besede: power supply system, control, discrete random process, z-transform
Objavljeno v DKUM: 05.06.2012; Ogledov: 1894; Prenosov: 54
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Mathematical model of the power supply system control
Janez Usenik, 2009, izvirni znanstveni članek

Ključne besede: power supply system, control, optimal energy capacities, Laplace transform, fuzzy logic
Objavljeno v DKUM: 05.06.2012; Ogledov: 2532; Prenosov: 48
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