ORIGINAL RESEARCH
Entropy-Cloud Model of Heavy Metals
Pollution Assessment in Farmland Soils
of Mining Areas
Juan Yang1, Haorui Liu2, Xuedou Yu3, Zhixuan Lv3, Fenghua Xiao1
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1School of Economics and Management, Dezhou University, Dezhou 253023, China
2School of Automotive Engineering, Dezhou University, Dezhou 253023, China
3Science and Technology Department, Dezhou University, Dezhou 253023, China
Submission date: 2015-10-25
Final revision date: 2016-02-19
Acceptance date: 2016-02-20
Publication date: 2016-05-25
Pol. J. Environ. Stud. 2016;25(3):1315-1322
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ABSTRACT
An entropy-cloud model is proposed to deal with soil heavy metal pollution assessment based on
entropy and cloud model theory. Parameters of the cloud model of each heavy metal level are calculated
with the chosen indicators, and hybrid entropy weights are determined based on Shannon entropy and the
analytic hierarchy process (AHP) to generate an entropy-cloud model of all indicators. Certainty degrees
of each level are calculated by the entropy-cloud model, and the fuzzy entropy of certainty degrees is
calculated to indicate the complexity of heavy metal pollution. Heavy metal pollution of 10 farmland soils in
mining areas is assessed by the entropy-cloud model. Comparative studies with variable fuzzy sets, artificial
neural network, and normal cloud model show that the entropy-cloud model is effective and intuitive, which
can assess the soil heavy metal pollution from two aspects of level and complexity. Different from other
methods, this model provides a new way to assess soil heavy metal pollution.