Measuring Distance of Fuzzy Numbers by Trapezoidal Fuzzy Numbers
Abstract
Fuzzy numbers and more generally linguistic values are approximate assessments, given by experts and accepted by decisionmakers when obtaining value that is more accurate is impossible or unnecessary. Distance between two fuzzy numbers plays an important role in linguistic decisionmaking. It is reasonable to define a fuzzy distance between fuzzy objects. To achieve this aim, the researcher presents a new distance measure for fuzzy numbers by means of improved centroid distance method. The metric properties are also studied. The advantage is the calculation of the proposed method is far simple than previous approaches.
 Publication:

Icms International Conference on Mathematical Science
 Pub Date:
 November 2010
 DOI:
 10.1063/1.3525136
 Bibcode:
 2010AIPC.1309..346H
 Keywords:

 fuzzy logic;
 decision theory;
 integration;
 functional analysis;
 07.05.Mh;
 02.50.Le;
 02.30.Ik;
 02.30.Sa;
 Neural networks fuzzy logic artificial intelligence;
 Decision theory and game theory;
 Integrable systems;
 Functional analysis