Breadcrumbs Section. Click here to navigate to respective pages.

Chapter

Chapter

# Using Fuzzy Sets, Fuzzy Relations, Alpha Cuts and Scalar Cardinality to estimate the Fuzzy Entropy of a Risk evaluation System: (The case of Greek Thrace Torrential Risk)

DOI link for Using Fuzzy Sets, Fuzzy Relations, Alpha Cuts and Scalar Cardinality to estimate the Fuzzy Entropy of a Risk evaluation System: (The case of Greek Thrace Torrential Risk)

Using Fuzzy Sets, Fuzzy Relations, Alpha Cuts and Scalar Cardinality to estimate the Fuzzy Entropy of a Risk evaluation System: (The case of Greek Thrace Torrential Risk) book

# Using Fuzzy Sets, Fuzzy Relations, Alpha Cuts and Scalar Cardinality to estimate the Fuzzy Entropy of a Risk evaluation System: (The case of Greek Thrace Torrential Risk)

DOI link for Using Fuzzy Sets, Fuzzy Relations, Alpha Cuts and Scalar Cardinality to estimate the Fuzzy Entropy of a Risk evaluation System: (The case of Greek Thrace Torrential Risk)

Using Fuzzy Sets, Fuzzy Relations, Alpha Cuts and Scalar Cardinality to estimate the Fuzzy Entropy of a Risk evaluation System: (The case of Greek Thrace Torrential Risk) book

Click here to navigate to parent product.

## ABSTRACT

One of the most critical issues of our times is natural disaster Risk management. This study concerns the development of a Decision Support System that has been based on two main Fuzzy Algebra frameworks. The first framework applies Fuzzy Set theory and various Fuzzy Algebra Conjunction operations to perform Risk estimation. Actually the application of the first framework on the problem of Torrential Risk evaluation has been presented thoroughly in another paper (Iliadis et al 2004) and it is described very briefly here in order to give a general hint of the methodology.

On the other hand, the second framework that requires the application of the first, executes two independent main sub-tasks. First it applies Scalar Cardinality functions in order to perform a comparative study between the areas under examination. The second sub-task (which is the most crucial) is the calculation of the System’s Entropy using Fuzzy Entropy functions.

The original contribution of this paper is the mathematical model constituting the second framework, its application for the Torrential Risk case (using actual data) and its results. The fact that the model and the Computer System can be applied in any type of natural disaster problem by adjusting the considered Risk factors and also the fact that the System is able to judge itself and to estimate its Fuzzy Entropy makes it very flexible, useful and original.