Synopsis of Topic
Fuzzy inference systems are a powerful and flexible tool that have a lot
of utility in their application to estimating spatially variable
elevation uncertainty. In this session we introduce the concepts of fuzzy logic, and fuzzy inference systems and show how Wheaton et al. (2010) applied these to producing robust, spatially variable estimates of DEM elevation uncertainty. The cartoon below (click on for larger version), shows an FIS with three inputs used to estimate elevation uncertainty in meters.
Why we're Covering it
Fuzzy inference systems are supported in the GCD Software and the appropriate construction, calibration and applications of FIS is a critical skill to develop. In this section we focus on understanding how they work and their application; whereas in the next topic, we work on the construction and calibration aspects. Learning Outcomes Supported
This topic will help fulfill the following primary learning outcome(s) for the workshop: 
A comprehensive overview of the theory underpinning geomorphic change detection

The fundamental background
necessary to design effective repeat topographic monitoring campaigns
and distinguish geomorphic changes from noise (with particular focus on
restoration applications)
 Handson instruction on use of the GCD software through groupled and selfpaced exercises
ResourcesExerciseSlides and/or Handouts
Relevant or Cited Literature Jang JSR and Gulley N. 2009. Fuzzy Logic Toolbox 2: User Guide, Matlab, Matlab, Natick, MA, 343 pp.
 Milan DJ, Heritage GL, Large ARG and Fuller IC. 2011. Filtering spatial error from DEMs: Implications for morphological change estimation. Geomorphology. 125(1): 160171. DOI: 10.1016/j.geomorph.2010.09.012.
 Wheaton JM, Brasington J, Darby SE and Sear D. 2010. Accounting
for Uncertainty in DEMs from Repeat Topographic Surveys: Improved Sediment Budgets. Earth
Surface Processes and Landforms. 35 (2): 136156. DOI: 10.1002/esp.1886.
 Wheaton JM. 2008. Uncertainty
in Morphological Sediment Budgeting of Rivers. Unpublished
PhD Thesis, University of Southampton, Southampton, 412 pp. Chapters 4 & 5.
 In Prep. Bangen S‡ , Wheaton JM, Hensleigh J‡ , and Bailey P. Pragmatic Error Modeling of Digital Elevation Models from Topographic Surveys using Fuzzy Inference Systems. For submission to ESPL.
 In Prep. Hensleigh J‡ , Wheaton JM and others? Guidelines for Developing DEM Error Models Using Fuzzy Inference Systems. For submission to ESPL?
