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Reseach Article
Fuzzy Focal Elements in Dempster-Shafer Theory of Evidence: Case Study in Risk Analysis
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 34 - Number 1 |
| Year of Publication: 2011 |
| Authors: Palash Dutta, Tazid Ali |
10.5120/4067-5853
|
Palash Dutta, Tazid Ali . Fuzzy Focal Elements in Dempster-Shafer Theory of Evidence: Case Study in Risk Analysis. International Journal of Computer Applications. 34, 1 ( November 2011), 46-53. DOI=10.5120/4067-5853
Abstract
Evidence Theory is an important tool of uncertainty modelling when both epistemic and aleatory uncertainties are present in the problem under consideration. In the absence of empirical data, experts in related fields provide necessary information. The fundamental objects of this theory of evidence are called focal elements, and the primitive function associated with it is called basic probability assignment (bpa). Focal elements are usually crisp subsets of some universal set. However in certain situations focal elements may also be represented by fuzzy numbers. In this paper we discuss Dempster-Shafer theory of evidence with fuzzy focal elements. We have considered two hypothetical case studies in risk analysis in this setting.
References
- Bojadziev G. and Bojadziev, M. (1995). Fuzzy set, Fuzzy logic, application, (Singapore: world Scientific.)
- Dutta P., Boruah H. and Ali T. (2011). Fuzzy arithmetic with and without using -cut method: a comparative study”, International Journal of Latest Trends in Computing, vol-2, pp : 99-108.
- Kentel E. and Aral M. M., (2004). Probabilistic-Fuzzy Health Risk Modeling, Stoch Envir Res and Risk Ass, 18, 324-338.
- Maxwell RM, Pelmulder SD, Tompson AFB and Kastenberg WE, (1998,) On the development of a new methodology for groundwater-driven health risk assessment. Water Resources Res, 34(4):833–847
- S.H.Chen, (1985) Operations on fuzzy numbers with function principal, Tamkang J.Manag.Sci.,vol.6, no.1, pp.13 -25.
- S.H.Chen, (1999) Ranking generalized fuzzy number with graded mean integration, (in proc.8th Int.Fuzzy Syst.Assoc.World Congr.,vol.2,Taipei,Taiwan,Republic of China, pp.899-902.)
- Shafer G. (1976) A Mathematical Theory of Evidence, (Princeton University Press.)
- Straszecka E., ((2006) A Model of a Diagnostic Rule in the Dempster-Shafer Theory, (ICAISC, 8th international conference on Artificial intelligence and soft computing.)
- Straszecka, E. (2003). An Interpretation of Fuzzy Focal Elements. Int. J. of Intelligent Systems, 18, 821–835.
- Straszecka, E. (2006). Combining Uncertainty and Imprecision in Models of Medical Diagnosis, Information Sciences, 176.
- US EPA. 2001. Risk Assessment Guidance for Superfund, Volume I: Human Health Evaluation Manual (Part E, Supplemental Guidance for Dermal Risk Assessment). Office of Emergency and Remedial Response, EPA/540/R/99/005, Interim, Review Draft. United States Environmental Protection Agency. September 2001.
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