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Some Coding Theorems on New Generalized Fuzzy Entropy of Order α and Type β |
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PP: 63-69 |
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doi:10.18576/amisl/050205
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Author(s) |
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Ashiq Hussain Bhat,
M. A. K Baig,
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Abstract |
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| In this communication we introduce a new generalized fuzzy information measure Ha
b (A) of order a and type b for a
fuzzy set A and establishes the validity of the measure as a fuzzy entropy. Also we define a new generalized fuzzy average code-word
length Lab
(A) of order a and type b for a fuzzy set A and its relationship with generalized fuzzy information measures Ha
b (A) have
been discussed. Using Lab
(P) , some coding theorems for discrete noiseless channel has been proved. The measures defined in this
communication are not only new but some known measures are the particular cases of our proposed measures that already exist in the
literature of fuzzy information theory. |
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