Abstract

Set pair analysis is a new intelligent algorithm for dealing with complex uncertain problems, and it is widely used in environmental science because of its concise structure and scalability of results. However, it is still unclear about the development stage distribution of set pair analysis in environmental science and the specific development and application in key areas. Therefore, based on the method of bibliometrics, this paper studies the development, application and challenges of set pair analysis in environmental science over the past 32 years (1989–2020). The analysis found that in terms of time dimension, the development process of set pair analysis is divided into three stages: the initial stage (1989–2011); the rapid development stage (2012–2015); the steady development stage (2016 to present). In terms of specific fields, this article focuses on the development and application of set pair analysis in the three fields of ecology, water resources, and atmospheric environmental science. It is found that set pair analysis is mainly used for environmental assessment, diagnosis and prediction. In particular, the development of partial connection numbers is a new research trend of set pair analysis, which plays an important role in environmental assessment, diagnosis and prediction. However, the current set pair analysis also has the shortcomings of strong subjectivity, an imperfect theoretical system, and unbalanced development at home and abroad. Only when these deficiencies are solved, can the development of set pair analysis in environmental science be further promoted.

Highlights

  • As the global environment gradually deteriorates, environmental issues have gradually become hot topics

  • The results proved that the coupled model of set pair analysis and bp neural network can be used in the optimization process of other complex systems

  • The results showed that the use of a set pair analysis model could largely avoid the defect of much subjectivity in assessment

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Summary

Introduction

As the global environment gradually deteriorates, environmental issues have gradually become hot topics. Cluster Analysis (HCA) method [4], the Principal Component Analysis (PCA) method [5], the System Dynamics (SD) approach [6], the Multi-objective assessment model [7], the projection pursuit assessment [8], the technique for order of preference by similarity to ideal solution (TOPSIS) method [9], and artificial neural networks [10] to analyze environmental science related issues These mathematical analysis methods have their own advantages and have been used to solve many environmental problems. Keqin in 1989 [11], scholars have begun to apply SPA’s unique theories and methods for dealing with uncertainty problems in mathematics, physics, systems science, information science, management science, intelligence science, economics, Disaster science, agricultural science, water conservancy science, ecology, resource and environmental science, education and many other fields At this stage, uncertainty analysis theory is enriched. Problems of set pair analysis to be solved for future development are put forward

Basic Concept of SPA
Connection Number
Partial Connection Number
Development and Application of SPA in Environmental Sciences
SPA Application and Development in Ecology
SPA Application and Development in Water Resource
SPA Application and Development in Atmospheric Environmental Sciences
Challenges of SPA in Environmental Sciences
Conclusions
Findings
Methods
Full Text
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