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Advances in Mathematical Physics
Volume 2015, Article ID 724647, 12 pages
http://dx.doi.org/10.1155/2015/724647
Research Article

Similarity Measures of Sequence of Fuzzy Numbers and Fuzzy Risk Analysis

Department of Mathematics, Faculty of Art and Science, University of Nevşehir Hacı Bektaş Veli, 50300 Nevşehir, Turkey

Received 18 May 2015; Revised 21 July 2015; Accepted 22 July 2015

Academic Editor: Soheil Salahshour

Copyright © 2015 Zarife Zararsız. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present the methods to evaluate the similarity measures between sequence of triangular fuzzy numbers for making contributions to fuzzy risk analysis. Firstly, we calculate the COG (center of gravity) points of sequence of triangular fuzzy numbers. After, we present the methods to measure the degree of similarity between sequence of triangular fuzzy numbers. In addition, we give an example to compare the methods mentioned in the text. Furthermore, in this paper, we deal with the type fuzzy number. By defining the algebraic operations on the type fuzzy numbers we can solve the equations in the form , where and are fuzzy number. By this way, we can build an algebraic structure on fuzzy numbers. Additionally, the generalized difference sequence spaces of triangular fuzzy numbers , , and , consisting of all sequences such that is in the spaces , , and , have been constructed, respectively. Furthermore, some classes of matrix transformations from the space and to and are characterized, respectively, where is any sequence space.