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Handbook of Regional Science pp 1–26Cite as

Fuzzy Modeling in Spatial Analysis

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Abstract

Spatial systems are generally complex and embedded with uncertainty due to subjectivity and vagueness of human valuation and decision. Such uncertainty cannot be equated with randomness, but fuzziness, of a system. Fuzzy sets, an extension of the classical notion of set, are sets whose elements have degrees of membership of/degrees of belonging to a set. Fuzzy mathematics based upon the notion of fuzzy sets provides attractive methods to model the above reality better than our traditional tools for formal modeling, reasoning and computing that are crisp (i.e. dichotomous), deterministic and precise in character. In this chapter we first describe the basic mathematical framework of fuzzy set theory in which imprecision in the sense of vagueness can be precisely and rigorously studied. Then attention is moved to applications of the theory in the field of spatial analysis with special reference to classification and grouping, as well as optimization in a fuzzy environment.

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Authors and Affiliations

  1. Institute of Future Cities, Department of Geography and Resource Management, The Chinese University of Hong Kong, Hong Kong, People’s Republic of China

    Yee Leung

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  1. Yee Leung
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Correspondence to Yee Leung .

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Editors and Affiliations

  1. Institute for Economic Geography and GIScience, Vienna University of Economics and Business, Vienna, Austria

    Manfred M. Fischer

  2. and Business Administration Department of Spatial Economics, Free University Faculty of Economics, Amsterdam, The Netherlands

    Peter Nijkamp

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Leung, Y. (2020). Fuzzy Modeling in Spatial Analysis. In: Fischer, M., Nijkamp, P. (eds) Handbook of Regional Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36203-3_114-1

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  • DOI: https://doi.org/10.1007/978-3-642-36203-3_114-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36203-3

  • Online ISBN: 978-3-642-36203-3

  • eBook Packages: Springer Reference Economics and FinanceReference Module Humanities and Social SciencesReference Module Business, Economics and Social Sciences

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Chapter history

  1. Latest

    Fuzzy Modeling in Spatial Analysis
    Published:
    23 July 2021

    DOI: https://doi.org/10.1007/978-3-642-36203-3_114-2

  2. Original

    Fuzzy Modeling in Spatial Analysis
    Published:
    19 April 2020

    DOI: https://doi.org/10.1007/978-3-642-36203-3_114-1

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