Variable Fuzzy Sets and Its Application in Flood Disaster Loss Evaluation - Advanced Research on Computer Education, Simulation and Modeling - page 366

Variable Fuzzy Sets and Its Application in
Flood Disaster Loss Evaluation

Qiong Li

School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi, Hubei, China

Abstract. In order to test the grade criterions of flood disaster loss and resolve
the non-uniformity problem of evaluation results of disaster loss indexes, and to
raise the grade resolution of flood disaster loss, a new method—variable fuzzy
sets(VFS) is suggested for evaluating the grade model of flood disaster, where
the disaster loss grade is continuous real number. The method can scientifically
and reasonably determine the relative membership functions of disquisitive in-
dexes at level interval that relating to flood, also it can fully use one's experience
and knowledge, qualitative and quantitative information of index system to ob-
tain weights of indexes for operating comprehensive evaluation. The numerical
example of floods in Henan Province has shown that the proposed method is
feasible and effective, and it provides a new theory for flood loss evaluation.

Keywords: variable fuzzy sets, flood disaster, loss, evaluation.

1 Introduction

Flood disasters are more and more frequent in our country, and about two-thirds of the
area face the test of different types and degrees of flood disasters. The theory of vari-
able fuzzy sets (VFS) was established by author Chen([1]). Comprehensive evaluation
of variable fuzzy sets (VFS) can effectively solve influence of border fuzzy and
monitor error of estimation standard to evaluation result. The method can scientifically
and reasonably determine membership degrees and relative membership functions of
disquisitive objectives (or indexes) at level interval that relating to flood, also it can
fully use one's experience and knowledge, qualitative and quantitative information of
index system to obtain weights of objectives(or indexes) for operating comprehensive
evaluation of flood([1],[2],[3]).
In this study we propose a loss evaluation mode l based on variable fuzzy sets and it is
then applied to the flood loss evaluation in Henan province successfully.

2 Model Introduction

2.1 Variable Fuzzy Sets

To define the concept, let us suppose that U is a fuzzy concept, A express character-
istic of attactability and

c

A states repellency. Hence, to any elements u ( uU ∈

),