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Basic issues of fuzzy set theoretic spatial analysis

  • Recent Methodological Developments in Spatial Analysis
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Papers of the Regional Science Association

Abstract

A state-of-the-art discussion of the fuzzy set theoretic spatial analysis is provided in this paper. Regional concepts and regionalisation, spatial preference-utilitychoice structures, spatial equilibrium, and optimal spatial planning are among the basic issues analysed. Due to imperfect information, systems complexity, and vague cognitive and decisionmaking processes, the conventional two-valued mathematical system appears to be too rigid and less natural in modelling spatial structures and processes. It is demonstrated that fuzzy sets theoretic notions often generalise conventional spatial concepts and provide new perspectives for analysing both static and dynamic spatial systems.

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Leung, Y. Basic issues of fuzzy set theoretic spatial analysis. Papers of the Regional Science Association 58, 35–46 (1985). https://doi.org/10.1007/BF01935252

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