Higher order vagueness in a dynamic landscape: Multi-resolution morphometric analysis of a coastal dunefield

Journal of Environmental Informatics

Volumn 9, Issue 1, 2007, Pages 56-70

  Fisher, P ^a   Wood, J ^a   Cheng, T ^b  

^a CITY UNIVERSITY   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Dynamic landforms; Fuzzy logic; Morphometry; Multi resolution analysis; Sand dunes; Type 2 fuzzy sets

Indexed keywords

COASTAL LANDFORM; COASTAL MORPHOLOGY; DIGITAL ELEVATION MODEL; DUNE; DYNAMIC PROPERTY; FUZZY MATHEMATICS; MORPHOMETRY;

EID: 34447618421     PISSN: 17262135     EISSN: 16848799     Source Type: Journal    
DOI: 10.3808/jei.200700087     Document Type: Article

References (58)

1. Bennett, B. (2001). What is a forest? On the vagueness of certain geographic concepts. Topoi., 20, 189-201.
2. Brown, K. (2005). Per-pixel uncertainty for change detection using airborne sensor data, in P.M. Atkinson, G.M. Foody, S.E. Darby and F. Wu, Geodynamics, pp. 103-118.
3. Brown, W., Groves, D. and Gedeon, T. (2003). Use of fuzzy membership input layers to combine subjective geological knowledge and empirical data in a neural network method for mineral-potential mapping. Nat. Resour. Res., 13(3), 183-200.
4. Burrough, P.A. (1989). Fuzzy mathematical methods for soil survey and land evaluation. J. Soil Sci., 40, 477-492.
5. Burrough, P.A., van Gaans, P.F.M. and MacMillan, R.A. (2000). High-resolution landform classification using fuzzy k-means. Fuzzy Sets Syst., 113, 37-52.
6. Campbell, J.B. (1977). Variation of selected properties across a soil boundary. Soil Sci. Soc. Am. J., 41, 578-582.
7. Cheng, T. and Molenaar, M. (1999). Diachronic analysis of fuzzy objects. GeoInformatica, 3(4), 337-356.
8. Deer, P. (1998). Digital Change Detection in Remotely Sensed Imagery Using Fuzzy Set Theory, Ph.D. Dissertation, University of Adelaide, Australia.
9. Du, G. and Zhu, Z. (2006). Modelling spatial vagueness based on type-2 fuzzy sets. J. Zhejiang Univ., Sci. A, 7(2), 250-256.
10. Eastman, J.R. (2003). Idrisi Kilimanjaro: Guide to GIS and Image Processing, Clark Univeristy, Worcester.
11. Elith, J., Burgman, M.A. and Regan, H.M. (2002). Mapping epistemic uncertainties and vague concepts in predictions of species distribution. Ecol. model., 157, 313-329.
12. Evans, I.S. (1979). An Integrated System of Terrain Analysis and Slope Mapping, final report on grant DA-ERO-591-73-G0040, University of Durham.
13. Evans, I.S. (1980). An integrated system of terrain analysis and slope mapping. Zeitschrift fur Geomorphologie, Suppl-Bd, 36, 274-295.
14. Fine, K. (1975). Vagueness, truth and logic. Synthese, 30, 265-300.
15. Fisher, P.F. (2000a). Sorites paradox and vague geographies. Fuzzy Sets Syst., 113(1), 7-18.
16. Fisher, P.F. (2000b). Fuzzy modelling, in S. Openshaw, R. Abrahart and T. Harris, Geocomputing, Taylor & Francis, pp. 161-186.
17. Fisher, P.F. and Wood, J. (1998). What is a mountain? or the englishman who went up a boolean geographical concept and realised it was fuzzy. Geogr., 83, 247-256.
18. Fisher, P.F., Wood, J. and Cheng, T. (2004). Where is Helvellyn? multiscale morphometry and the mountains of the English Lake District. Trans. Inst. Br. Geogr., 29, 106-128.
19. Fisher, P.F., Wood, J. and Cheng, T. (2005). Fuzziness and ambiguity in multi-scale analysis of landscape morphometry, in F. Petry, V. Robinson and M. Cobb, Fuzzy Modeling with Spatial Information for Geographic Problems, Springer, pp. 209-232.
20. Fisher, P.F., Arnot, C., Wadsworth, R. and Wellens, J. (2006). Detecting change in vague interpretations of landscapes. Ecol. Inf., 1(2), 163-178.
21. Fisher, P.F., Cheng, T. and Wood, J. Higher order vagueness in geographical information: Empirical geographical population of Type n fuzzy sets. GeoInformatica (in press).
22. Foody, G.M. (1992). A fuzzy sets approach to the representation of vegetation continua from remotely sensed data: An example from lowland heath. Photogramm. Eng. Remote Sensing, 58, 221-225.
23. Foody, G.M. (1996). Approaches to the production and evaluation of fuzzy land cover classification from remotely-sensed data. Int. J. Remote Sensing, 17, 1317-1340.
24. Irvin, B.J., Ventura, S.J. and Slater, B.K. (1997). Fuzzy and isodata classification of landform elements from digital terrain data in Pleasant Valley, Wisconsin. Geoderma, 77(2-4), 137-154.
25. John, R.I. (1998). Type-2 Fuzzy sets: An appraisal of theory and applications. Int. J. Uncertainty, Fuzziness Knowledge-based Syst., 6, 563-576.
26. Keefe, R. and Smith, P. (Eds.) (1996). Vagueness: A Reader, MIT Press.
27. Klir, G.J. and Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall.
28. Kruse, R., Gebhardt, J. and Klawonn, F. (1994). Foundations of Fuzzy Systems, John Wiley & Son.
29. Kulik, L. (2003). Spatial vagueness and second order vagueness. Spatial Cognition Comput., 3, 157-183.
30. Lagacherie, P., Caxemier, D.R., van Gaans, P.F.M. and Burrough, P.A. (1997). Fuzzy k-means clustering of fields in an elementary catchment and extrapolation to a larger area. Geoderma, 77, 197-216.
31. Luo, X. and Dimitrakopoulos, R. (2003). Data-driven fuzzy analysis in quantitative mineral resource assessment. Comput. Geosci., 29, 3-13.
32. Lucieer, A., Stein, A. and Fisher, P. (2005). Multivariate texture segmentation of high-resolution remotely sensed imagery for identification of fuzzy objects. Int. J. Remote Sensing, 26(14), 2911-2915.
33. MacMillan, R.A., Pettapiece, W.W., Nolan, S.C. and Goddard, T.W. (2000). A generic procedure for automatically segmenting landforms into oandform elements using DEMs, heuristic rules and fuzzy logic. Fuzzy Sets Syst., 113, 81-109.
34. Mendel, J.M. (2001). Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions, Prentice-Hall.
35. Mendel, J.M. and John, R.I. (2002). Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst., 10, 117-127.
36. Mizumuto, M. and Tanka, K. (1976). Some properties of fuzzy sets of type-2. Inf. Control., 31, 312-340.
37. Moraczewski, I.R. (1993a). Fuzzy logic for phytosociology 1: Syntaxa as vague concepts. Vegetatio, 106, 1-11.
38. Moraczewski, I.R. (1993b). Fuzzy logic for phytosociology 2: Generalization and prediction. Vegetatio, 106, 13-20.
39. Pethick, J. (1984). An Introduction to Coastal Geomorphology, Edward Arnold.
40. Peucker, T.K. and Douglas, D.H. (1974). Detection of surface specific points by local parallel processing of discrete terrain elevation data. Comput. Graphics Image Process., 4, 375-387.
41. Robinson, V.B. (1988). Some implications of fuzzy set theory applied to geographic databases. Comput., Environ. Urban Syst., 12, 89-98.
42. Robinson, V.B. and Graniero, P.A. (2005). Spatially explicit individual-based ecological modeling with mobile fuzzy agents, in F. Petry, V. Robinson and M. Cobb, Fuzzy Modeling with Spatial Information for Geographic Problems, Springer, pp. 299-334.
43. Ross, T.J. (2004). Fuzzy Logic with Engineering Applications, John Wiley & Sons.
44. Sainsbury, R.M. (1989). What is a vague object? Anal., 49, 99-103.
45. Sainsbury, R.M. (1991). Is there higher order vagueness?, The Philos. Q., 41, 167-182.
46. Sainsbury, R.M. (1995). Paradoxes, 2nd Edition, Cambridge University Press.
47. Sorensen, R.A. (1985). An argument for the vagueness of the 'vague'. Anal., 45, 134-137.
48. Tang, X.M., Kainz, W. and Fang, Y. (2005). Reasoning about changes of land cover with fuzzy settings. Int. J. Remote Sensing, 26, 3025-3046.
49. Usery, E.L. (1996). A conceptual framework and fuzzy set imple-mentation for geographic features, in P.A. Burrough and A. Frank, Geographic Objects with Indeterminate Boundaries, Taylor & Francis, pp. 87-94.
50. Varzi, A.C. (2001). Vagueness in geography. Philos. Geogr., 4(1), 49-65.
51. Varzi, A.C. (2003). Higher-order vagueness and the vagueness of 'vague'. Mind, 112, 295-298.
52. Verstraete, J., de Tré, G., de Caluwe, R. and Hallez, A. (2005). Field based method for the modelling of fuzzy spatial data, in F. Petry, V. Robinson and M. Cobb, Fuzzy Modeling with Spatial Information for Geographic Problems, Springer, pp. 41-69.
53. Williamson, T. (1994). Vagueness, Routledge.
54. Wood, J. (1996a). Scale-based characterisation of digital elevation models, in D. Parker, Innovations in GIS 3, Taylor & Francis, pp. 163-175.
55. Wood, J. (1996b). The Geomorphological Characterisation of Digital Elevation Models, Ph.D. Dissertation, University of Leicester, Leicester, UK.
56. Wood, J. (2006). Landserf: Visualisation and analysis of terrain models. http://www.soi.city.ac.uk/~jwo/landserf/.
57. Wright, C. (1992). Is higher order vagueness coherent? Anal., 52, 129-139.
58. Zadeh, L.A. (1965). Fuzzy sets. Inf. Control, 8, 338-353.