Next Article in Journal
Factors Affecting Water Drainage Long-Time Series in the Salinized Low-Lying Coastal Area of Ravenna (Italy)
Previous Article in Journal
Flash Flood Early Warning Coupled with Hydrological Simulation and the Rising Rate of the Flood Stage in a Mountainous Small Watershed in Sichuan Province, China
Previous Article in Special Issue
Effects of Residue Cover on Infiltration Process of the Black Soil Under Rainfall Simulations
Open AccessArticle

A Fuzzy Transformation of the Classic Stream Sediment Transport Formula of Yang

1
Faculty of Science and Technology, Free University of Bozen–Bolzano, 39100 Bozen–Bolzano, Italy
2
Department of Civil Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
*
Author to whom correspondence should be addressed.
Water 2020, 12(1), 257; https://doi.org/10.3390/w12010257 (registering DOI)
Received: 29 November 2019 / Revised: 9 January 2020 / Accepted: 11 January 2020 / Published: 16 January 2020
(This article belongs to the Special Issue Modeling of Soil Erosion and Sediment Transport)
The objective of this study is to transform the arithmetic coefficients of the total sediment transport rate formula of Yang into fuzzy numbers, and thus create a fuzzy relationship that will provide a fuzzy band of in-stream sediment concentration. A very large set of experimental data, in flumes, was used for the fuzzy regression analysis. In a first stage, the arithmetic coefficients of the original equation were recalculated, by means of multiple regression, in an effort to verify the quality of data, by testing the closeness between the original and the calculated coefficients. Subsequently, the fuzzy relationship was built up, utilizing the fuzzy linear regression model of Tanaka. According to Tanaka’s fuzzy regression model, all the data must be included within the produced fuzzy band and the non-linear regression can be concluded to a linear regression problem when auxiliary variables are used. The results were deemed satisfactory for both the classic and fuzzy regression-derived equations. In addition, the linear dependence between the logarithmized total sediment concentration and the logarithmized subtraction of the critical unit stream power from the exerted unit stream power is presented. Ultimately, a fuzzy counterpart of Yang’s stream sediment transport formula is constructed and made available to the readership. View Full-Text
Keywords: stream sediment transport; total load; sediment concentration; Yang formula; fuzzy regression; fuzzy coefficients; fuzzy logic stream sediment transport; total load; sediment concentration; Yang formula; fuzzy regression; fuzzy coefficients; fuzzy logic
Show Figures

Figure 1

MDPI and ACS Style

Kaffas, K.; Saridakis, M.; Spiliotis, M.; Hrissanthou, V.; Righetti, M. A Fuzzy Transformation of the Classic Stream Sediment Transport Formula of Yang. Water 2020, 12, 257.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop