Some implications of fuzzy set theory applied to geographic databases

Robinson, Vincent Β.

doi:10.1016/0198-9715(88)90012-9

Cited by 91 publications

(40 citation statements)

References 6 publications

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“…Statistical classifiers such as maximum likelihood (Marsh et al, 1980;Foody et al, 1992) and neural networks (Foody, 1996;Moody et al, 1996) have been applied in this way. The approach is related to fuzzy set theory, since an individual pixel may be viewed as having degrees of membership in multiple classes (Robinson 1988;Fisher and Pathirana, 1990). This paper evaluates two types of classification methods for mixture estimation: the maximum likelihood algorithm and the ARTMAP neural network (Carpenter et al, 1991(Carpenter et al, , 1992.…”

Section: Classification Methods: Maximum Likelihood and Artmapmentioning

confidence: 99%

A Neural Network Method for Mixture Estimation for Vegetation Mapping

Carpenter

Gopal

Macomber

et al. 1999

Remote Sensing of Environment

120

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Section: Classification Methods: Maximum Likelihood and Artmapmentioning

confidence: 99%

A Neural Network Method for Mixture Estimation for Vegetation Mapping

Carpenter

Gopal

Macomber

et al. 1999

Remote Sensing of Environment

120

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“…The treatment of environmental phenomena with fuzzy sets has largely been done in two ways (Robinson, 1988): by clustering and related numerical classification methods in the Similarity Relation Model, and by user specification in the Semantic Import Model. This paper uses multiple instances in an example of the approach which is referred to by Fisher (2000b) as the Experimental Model, and is similar to Kulik's (2003) supervaluation approach.…”

Section: Discussionmentioning

confidence: 99%

Higher Order Vagueness in a Dynamic Landscape: Multi-Resolution Morphometric Analysis of a Coastal Dunefield

Fisher

Wood²,

Cheng³

2007

J ENV INFORM

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ABSTRACT. Many environmental phenomena can be conceptualised as vague and so may be suitable for storage as fuzzy sets and analysis by fuzzy logic. Fuzzy sets directly address the vagueness in the information, but many consider that any statement about a vague phenomenon must itself be vague. This is known as higher order vagueness, and is handled in fuzzy set theory by type-2 and, by extension, type-n fuzzy sets. In this paper we use the recognition of, and change in, a system of coastal sand dunes as an environmental example in which to explore the use of type-2 fuzzy sets. The crests and troughs of the dunes are identified as fuzzy sets from geomorphometric analysis of high resolution digital elevation models from two years (1998 and 2000). By varying the parameters of the morphometric extraction, multiple instances of type-1 fuzzy sets can be defined, and these can be summarised to yield type-2 fuzzy sets. The logic of change analysis is presented, and two alternative approaches to change analysis of type-2 fuzzy sets implemented. In one approach changes in the multiple instances of type-1 fuzzy sets are analysed and summarised as type-2 sets. The second approach directly examines change in the parameters of type-2 fuzzy sets, viewing the results for the different parameters as separate instances of change. All analyses produce satisfactory results which, although they are hard to verify, make sense, yielding a range of possible but small degrees of fuzzy change. In a rather sedentary dune system (as is usual in a coastal location in mid-latitudes) this is to be expected. Change analysis in most applications of type-2 fuzzy sets, which might be based on expert advice for defining memberships, would have to rely on this second approach, and it is therefore interesting to note that this yields the largest range of possible change results.

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“…As an alternative to Boolean logic, Zadeh's fuzzy set theory has been proposed as the new logical foundation for GIS design (Robinson, 1988). The potential applications of fuzzy logic in spatial data collection, representation, retrieval and display have been discussed in literature (Boroushaki and Malczewski, 2010).…”

Section: Measuring Accessibilitymentioning

confidence: 99%

Measuring Land Uses Accessibility by Using Fuzzy Majority Gis-Based Multicriteria Decision Analysis Case Study: Malayer City

Taravat

Yari

Rajaei

et al. 2014

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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ABSTRACT:Public spaces accessibility has become one of the important factors in urban planning. Therefore, considerable attention has been given to measure accessibility to public spaces on the UK, US and Canada, but there are few studies outside the anglophone world especially in developing countries such as Iran. In this study an attempt has been made to measure objective accessibility to public spaces (parks, school, library and administrative) using fuzzy majority GIS-based multicriteria decision analysis. This method is for defining the priority for distribution of urban facilities and utilities as the first step towards elimination of social justice. In order to test and demonstrate the presented model, the comprehensive plan of Malayer city has been considered for ranking in three objectives and properties in view of index per capital (Green space, sport facilities and major cultural centers like library and access index). The results can be used to inform the local planning process and the GIS approach can be expanded into other local authority domains. The results shows that the distribution of facilities in Malayer city has followed on the base of cost benefit law and the human aspect of resource allocation programming of facilities (from centre to suburbs of the city).

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Some implications of fuzzy set theory applied to geographic databases

Cited by 91 publications

References 6 publications

A Neural Network Method for Mixture Estimation for Vegetation Mapping

A Neural Network Method for Mixture Estimation for Vegetation Mapping

Higher Order Vagueness in a Dynamic Landscape: Multi-Resolution Morphometric Analysis of a Coastal Dunefield

Measuring Land Uses Accessibility by Using Fuzzy Majority Gis-Based Multicriteria Decision Analysis Case Study: Malayer City

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