Entropy differences of arithmetic operations with Shannon function on triangular fuzzy numbers

Authors:
Tien-Chin Wang;Jia-Ling Liang;Hsiao-Lan Chu
Affiliations:
Department of Information Management, I-Shou University, Ta-Hsu Hsiang, Kaohsiung, Taiwan;Department of Information Engineering, Department of Computer and Information Science, I-Shou University, Ta-Hsu Hsiang, Kaohsiung, Taiwan;Department of Information Management, I-Shou University, Ta-Hsu Hsiang, Kaohsiung, Taiwan
Venue:
MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS
Year:
2006

Citing 4
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Abstract

The main purposes of this paper are to probe for the entropy differences between arithmetically manipulated Triangular Fuzzy Numbers (TFNs) using Shannon's Function; and to study the relationships between any two TFNs. Simultaneously, we expand on the articles of Wang et al. [6] and Wang et al. [5]. The entropy differences between two TFNs subjected to different arithmetic operations are classified as seven theorems. This paper finds that with the application of Shannon's Function on triangular fuzzy numbers the grades of fuzziness are changed after arithmetic operations.