Entropy Differences of Arithmetic Operations with Shannon Function on Triangular Fuzzy Numbers
نویسندگان
چکیده
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. Key-Words: Entropy, Triangular fuzzy numbers, Fuzzy sets, Measure of fuzziness, Shannon’s Function, Arithmetic operations.
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