Cited by 503Soil and Land Suitability AnalysisSoil Geostatistics and MappingFuzzy and Soft Set Theory

Fuzzy mathematical methods for soil survey and land evaluation

BURROUGH, P. A.·1989·Journal of Soil Science

Abstract

SUMMARY The rigid‐data model consisting of discrete, sharply bounded internally uniform entities that is used in hierarchical and relational databases of soil profiles, choropleth soil maps and land evaluation classifications ignores important aspects of reality caused by internal inhomogeneity, short‐range spatial variation, measurement error, complexity and imprecision. Considerable loss of information can occur when data that have been classified according to this model are retrieved or combined using the methods of simple Boolean algebra available in most soil and geographical information systems. Fuzzy set theory, which is a generalization of Boolean algebra to situations where data are modelled by entities whose attributes have zones of gradual transition, rather than sharp boundaries, offers a useful alternative to existing methodology. The basic principles of fuzzy sets, operations on fuzzy sets and the derivation of membership functions according to the Semantic Import Model are explained and illustrated with data from case studies in Venezuela and Kenya.

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Crossref · 10.1111/j.1365-2389.1989.tb01290.x

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24 of 24 references verified0 citation errors · 0 not checkable

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  • Development of land evaluation systems based on biophysical conditions started in the 20th century.

    “Development of land evaluation systems based on biophysical conditions have been started in the 20th century”

    From Concepts of agricultural marginal lands and their utilisation: a review (2023) · cites this paper as Burrough, 1989

  • According to Burrough (1989), land evaluation models can be divided into three groups: empirical models, deterministic models and stochastic models.

    “According to Burrough (1989), land evaluation models can be divided into three groups: empirical models, deterministic models and stochastic models.”

    From Concepts of agricultural marginal lands and their utilisation: a review (2023) · cites this paper as Burrough (1989)

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Authors
BURROUGH, P. A.
Affiliations
Utrecht University (NL)
Corresponding author
BURROUGH, P. A.
Venue
Journal of Soil Science
Publisher
Wiley
Published
1989-09
Volume
40
Issue
3
Pages
477-492
ISSN
0022-4588 (ISSN-L)
OpenAlex
W2159434838
Cited by
503
References
24
Citations by year
2026: 8 · 2025: 6 · 2024: 6 · 2023: 10 · 2022: 10 · 2021: 11 · 2020: 15 · 2019: 13 · 2018: 26 · 2017: 14 · 2016: 20 · 2015: 12 · 2014: 14 · 2013: 17 · 2012: 15
FWCI
32.56
Type
journal article
Language
en
Open access
closed
Locations
Journal of Soil Science (publishedVersion)
Topics
  • Physical Sciences › Environmental Science › Management, Monitoring, Policy and Law › Soil and Land Suitability Analysis
  • Physical Sciences › Environmental Science › Environmental Engineering › Soil Geostatistics and Mapping
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Fuzzy and Soft Set Theory
Keywords
fuzzy set theory, soil survey, land evaluation, soil classification, soil heterogeneity, measurement error, membership functions, fuzzy logic operations, soil information system

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