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Hamacher operations on Pythagorean fuzzy matrices

Silambarasan I., Sriram S.

Journal of Applied Mathematics and Computational Mechanics

2019

Vol. 18, nr 3

69--78

In this paper, we introduce the Hamacher operations on Pythagorean fuzzy matrices and prove some desirable properties of these operations, such as commutativity, idempotancy and monotanicity. Further, we prove De Morgan’s laws for these operations over complement.

Air pollution forecasting model control

Domańska D., Wojtylak M.

Journal of Medical Informatics & Technologies

2010

Vol. 14

9--22

In the paper we discuss the analysis of multidimensional data. We consider the relationship between them using a special fuzzy number form. Calculations are kept on set of actual and historical meteorological data. Our model using to forecast pollution concentrations is important in today because pollutions have very big influence on our life in particular pollutions PM10 (particulate matter less than 10 µm in diameter). The effects of inhaling particulate matter have been widely studied in humans and animals and include asthma, lung cancer, cardiovascular issues, and premature death. Because of the size of the particle, they can penetrate the deepest part of the lungs. In Air Pollution Forecasting Model for the chosen weather forecast we find similar weather forecasts. Next, we find real meteorological situations from the historical data which correspond to them and we create fuzzy numbers, that is, the fuzzy weather forecasts. Then we estimate the validity of the weather forecast on the basis of the historical data and its accuracy. We investigate it with the help of a set of indicators, which corresponds to the parameters of the weather forecast, using the similarities rule of the weather forecast to the meteorological situation, a proper distance and data analysis. This comprehensive analysis allows us to investigate the effectiveness of forecasting pollution concentrations, putting the dependence between particular attributes describing the weather forecast in order and proving the legitimacy of the applicable fuzzy numbers in air pollution forecasting. Models are created for data, which are measured and forecasting in Poland. By reason of this data our models are testing in real sets of data and effects are received in active system.