Fuzzy Logic Analysis using GeoMedia by Bhaskar Reddy Pulsani
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The document discusses the application of fuzzy logic in geomedia software, focusing on site selection processes for landfills using both fuzzy and boolean logic. It outlines the objectives of creating a generic tool for membership function formulation, and presents a literature review on fuzzy logic's use in GIS software. The conclusion emphasizes the successful implementation of this tool and its customization potential for various layers within geomedia applications.
![Characteristic Function:
Let X be the universe of discourse with elements x. Then for
Boolean logic the Characteristic function fA(x) of A
fA(x): X → {0, 1},where fA(x) = 1 if x is totally in A;
fA(x) = 0 if x is not in A;
However for a Fuzzy set A we have
μA(x): X → [0, 1], where μA(x) = 1 if x is totally in A;
μA(x) = 0 if x is not in A;
0 < μA(x) < 1 if x is partly in A.
9](https://image.slidesharecdn.com/fuzzypresentation-120711064714-phpapp01/85/Fuzzy-Logic-Analysis-using-GeoMedia-by-Bhaskar-Reddy-Pulsani-9-320.jpg)
Fuzzy Logic Analysis using GeoMedia by Bhaskar Reddy Pulsani
- 1. Fuzzy Logic and GeoMedia Supervisors: Prof. Dr. Dietrich Schröder Prof. Dr. Franz-Josef Behr 1
- 2. Agenda Introduction About Me Objectives Work Project on MapWindow Literature review ActiveX Inception of VnRPToolkit Study area and Data Scope of GeoMedia software Fuzzy logic approach Boolean logic Fuzzy and Boolean Comparisions Fuzzy Command Tool Conclusions 2
- 3. Introduction Site selection process - a screening technique Factors for selection of land fill (slope, river, road, geology, land use, etc.) Factors for restrictions (environmental, economic, social and legislative factors.) Boolean logic and Fuzzy logic 3
- 4. Objective Formulation of membership functions Primary goal - creation of generic Tool. Comparison of the results
- 5. Literature Review Conventional use of Fuzzy Logic - control systems Successful Implementation – analysis,and classification of RS. GIS software packages. IDRISI called FUZSIG. No incorporation of generic tool for process automation Fuzzy analysis - Extensive and laborious analysis. 5
- 6. Study area and Data Figure 3 : Map of Study Area 6
- 7. Scope of GeoMedia Software GeoMedia Professional 6.1 GeoMedia Grid 6.1 – An extension Single GIS environment Provides generic tools for manual fuzzy analysis Customization through VB, Visual C++ and Visual C# 7
- 8. Theory of Fuzzy Logic Lotfi Zadeh, Fuzzy Sets (1965). Fuzzy logic – Described to cope with fuzziness. Fuzzy sets – A superset of conventional (Boolean) logic MF range – 0 to 1. Reasoning using linguistic terms. If the distance is short then assign 0 membership 0 0 0 1 1 1 0 0 0.2 0.4 0.6 0.8 1 1 (a) Boolean Logic. (b) Fuzzy Logic. 8
- 9. Characteristic Function: Let X be the universe of discourse with elements x. Then for Boolean logic the Characteristic function fA(x) of A fA(x): X → {0, 1},where fA(x) = 1 if x is totally in A; fA(x) = 0 if x is not in A; However for a Fuzzy set A we have μA(x): X → [0, 1], where μA(x) = 1 if x is totally in A; μA(x) = 0 if x is not in A; 0 < μA(x) < 1 if x is partly in A. 9
- 10. An example The degree of Fuzzy sets is shown as follows: Layers Membership function MF = 0, if x < 500 Settlements MF = 1, if x > 1500 MF = ((x-500)/1000), if 500 ≤ x ≤ 1500 Figure 1:Visual interpretation of Membership Function with respective graphs 10
- 11. Membership Functions Layers Membership function MF = 1, if 0 <x<5 Slope MF = ((x-5)/10), if 5≤x≤15 MF = 0, if x>15 MF = 0, if 225≤x≤315 MF = ((x-135)/90) if 135<x<225 Aspect MF = ((x-315)/90) if 315<x<45 (315<x<405) MF = 1, if 45≤x≤135 MF = 1, if x=361(flat areas) MF = 0, if x<200 Wells MF = ((x-400)/200), if 400≤x≤600 MF = 1, if x>600 MF = 0, if x<250 River MF = ((x-250)/500), if 250≤x≤750 MF = 1, if x>750 Road MF = 0, if x>500 MF = ((500-x)/500), if 0<x≤500 MF = 0, if x<250 settlements MF = ((x-500)/1000), if 500≤x≤1500 MF =1, if x>1500 MF = 0, if x > +125 Geology MF = ((125-x)/250), if -125≤x≤+125 MF = 1, if x < -125
- 13. Fuzzy logic with basic analysis tool 01Settlement Membarship 0Membarship 500 m Membarship 1Void m 1Membarship 1500 Membarship Void
- 14. Fuzzy logic Analysis Rivers Aquifer Wells Legend Settlement 0 Aspect 0.1 0.2 Roads 0.3 Slope 0.4 0.5 0.6 0.7 0.8 0.9 1
- 15. Fuzzy analysis results for Optimum sites Addition operation withFunction value of 5 Product a threshold Minimum operation Suitable areas 0 Membarship 1 Membarship
- 16. Boolean Analysis 0<Aspect <180 Slope < 10 degrees Minor Aquifer Settlement distance = 1000m Rivers distance = 500m Roads distance=500m Wells distance = 500m
- 17. Boolean analysis results for optimum sites
- 18. Fuzzy and Boolean Comparisions Minimum Function 0 Membarship 1 Membarship Boolean resultant areas
- 19. Fuzzy and Boolean Comparisions Boolean - sharp distinction with “YES” and “NO” areas Fuzzy - gradual delineation for selected landfill Flexibility to decide on threshold for fuzzy logic No need for repeated analysis No need for change in criteria and rules Saves time and reduces effort Decisions on threshold can be supplimented by field work
- 20. The Fuzzy Command Tool Input section Process Section To specify ascending or descending from a layer Output section Context Help Command buttons
- 21. Results of fuzzy command tool Settlement Wells Roads Rivers Unsuitable Suitable
- 22. Conclusions Successful implementation of the generic tool Applicability of the tool to any layer except for complicated fuzzy functions. Illustrates the Need for customizable GIS software's. Demonstrates GeoMedia Grid as an example of software providing the framework for customizing applications
- 23. Conclusions Future Work – To improve upon the different functions other than linear. Future Work – customizing complicated fuzzy functions if the process is recurring.
- 24. About Me B.Sc. Maths, Physics and Geology M.Sc. Geology (Osmania University, Hyderabad, India) M.Sc. Geoinformatics (HFT, Stuttgart, Germany) Work Research Associate (Software Developer) Currently doing a job as a Software Engineer
- 25. Current Job Project – Integration of MapWindowGIS Integration of MapWindowGIS into SAFIRA II MMS software Softwares and languages used MapWindowGIS Libraries MapWindow Active X Components Visual Basic 6 25
- 26. MapWindowGIS GIS application made using MapWindowGIS 26
- 27. Possibilities on Selection Single selection Multiple selection Multiple selection Switch selection Multi De-selection Single De-selection Different capabilities on polygon selection 27
- 28. Final integration of MapWinGIS project Final Integration of MapWinGIS application into SAFIRA MMS 28
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Editor's Notes
- #6: Applai uses GeoConcept Expert software in fuzzy logic business modelling for retail stores
- #9: Lotfi Zadeh , Fuzzy Sets (1965). Fuzzy logic is used to describe and cope with fuzziness. fuzzy sets are superset of conventional (Boolean) logic Membership values in fuzzy systems range from 0 to 1, with 0.0 representing absolute Falseness and 1.0 representing absolute Truth. Truth values between True and False. Not everything is either/or, true/false, black/white, on/off etc. Reasoning using linguistic terms . Natural to express expert knowledge. If the distance is short then assign 0 membership
- #26: This is the current project I am working on as a researcher to support the D-Site working group (Decision-Support Integrating Technology and Economics). The group develops scientific software as part of research in EberhardKarls Universit ät Tübingen for the assessment, revitalization and optimization of contaminated sites including models for contaminant migration and risk exposure. There are always complications when a licenced software has to be distributed among the users away from scientific community. The project has been taken up to lessen the burden of scientific softwares. Opensource softwares are free to distribute and provides an ideal way for further improvements.
- #27: The developed Mini GIS application has capabilities similar to ARCGIS with respect to viewing the shapefiles and its attributes. With the needs of the current project the application has been built to have zoom in, zoom out, panning, selection and zoom to extent map cursor options. It changes the attributes in the table with respect to selected polygons. Has buttons to make backup of the original shapefiles and also reverts the changes when the conditions are not met. When a landuse category (towards the left in the figure that holds four categories) is selected from the listbox, the polygons along with its respective attributes in the table are highlighted. It also gives statistics of the study area (displayed at the bottom of the fugure) which are displayed dynamically when changes are made on the shapefiles. The application is still in the building stage and can be extended to have many more capabilities. This application can be integrated into any software developed on Windows using VB6, VB.Net, C# or Visual C++.
- #28: One of the diverse capability includes different selection options with single and multi selection and de-selection options. The values of the any polygons can be changed depending upon the users need to change them.