Rules versus Hierarchy: An Application of Fuzzy Set Theory to the Assessment of Spatial Grouping Techniques

Section: Functional Regions and Methods For Their Definitionmentioning

confidence: 99%

A functional interaction approach to the definition of meso regions: The case of the Czech Republic

Erlebach

Martı́n

Tonev

2016

“…In its relative simplicity and its implementation in publicly available software 4 , however, one sees the reason that the Intramax method has been used so many times to analyse FRs -of so many different kinds of interactions at very different levels of consideration, for example: labour market area delineation (Masser and Scheurwater, 1980;Feldman et al, 2005;Watts, 2009;Landré, 2012;Landré and Håkansson, 2013;Koo, 2012); housing market area delineation (Goetgeluk and de Jong, 2007;Brown and Hincks, 2008;Jaegal, 2013); commodity market delineation (Brown and Pitfield, 1990); world trade block delineation (Poon, 1997;Kohl and Brouver, 2014); functional economic region delineation (Mitchell et al, 2007(Mitchell et al, , 2013Mitchell and Stimson, 2010;Mitchell and Watts, 2010); telecommunication analysis (Fischer et al, 1993); to identify possible administrative or statistical regions (Nel et al, 2008;Bogataj, 2012a, 2012b); transport regions (Krygsman et al, 2009); in the (allocation) analysis of services Bogataj, 2014, 2015), and so forth.…”

Section: Development and Implementation Of The Intramax Methodsmentioning

confidence: 99%

“…The application was carried out for 1,365 Australian statistical local areas and labour commuting data. He reported that both approaches to grouping had strong, but not robust, local optimisation properties (Watts, 2009). The robustness was analysed in relation to self-containment as defined by Smart (1974) and Van der Laan and Schalke (2001 (Watts, 2009: 525).…”

Section: Development and Implementation Of The Intramax Methodsmentioning

confidence: 99%

Intramax and other objective functions: The case of Slovenia

Drobne

Lakner

2016

“…Fischer et al (1993) compared the IPFP and Intramax procedures. Watts (2009Watts ( , 2013 made comparisons between the results of the CURDS algorithm and the Intramax method. Drobne et al (2010) compared some more sophisticated graph theoretical methods with the Intramax approach.…”

Section: Tab 1: Classification Of Approaches To a Functional Regionamentioning

confidence: 99%

“…Feng (2009) presented a method for the assessment of fuzziness in regional systems through the adoption of a so-called membership function. This function was later improved by Watts (2009Watts ( , 2013. The adoption of the fuzzy set approach to functional regions opens up the possibility of identifying overlapping functional regions, even though their existence is usually ruled out by the principle that a basic spatial unit should belong to just one regional class.…”

Section: Importance Of Functional Regions and Discovering Future Prosmentioning

confidence: 99%

Conceptualising patterns of spatial flows: Five decades of advances in the definition and use of functional regions

Klapka

Halás

2016

Some fifty years in the development of ideas about the definition and use of functional regions are elaborated in this article, as an introduction to this Special Issue of the Moravian Geographical Reports. The conceptual basis for functional regions is discussed, initially in relation to region-organising interactions and their behavioural foundations. This paper presents an approach to functional regions which presumes that such regions objectively exist and that they are based on more or less tangible processes (however, a different view of regions is also briefly described). A typology of functional regions is presented and the development of methods for finding a definition of functional regions is discussed, as well as a typology for these methods. The final part of this article stresses the importance of functional regions in geographical research, and introduces some emerging new prospects in the study of functional regions.