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 sets, are sets whose elements have degrees of membership/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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Leung, Y. (2021). Fuzzy Modeling in Spatial Analysis. In: Fischer, M.M., Nijkamp, P. (eds) Handbook of Regional Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-60723-7_114
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DOI: https://doi.org/10.1007/978-3-662-60723-7_114
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