Volume : III, Issue : VI, June - 2014

On Bounds For Weighted Fuzzy Mean Difference–Divergence Measures

Priti Gupta, Santosh Kumari

Abstract :

In the present communication, we have considered the bounds and inequalities among weighted fuzzy mean difference-divergence measures. Here we have considered mixed weighted fuzzy mean difference-divergences, their bounds and inequalities such as : (i) 3 1 1 3 ( ( ), ( ); ) ( ( ), ( ); ) ( ( ), ( ); ) M x xW M x xW M x xW NN A i B i µµ µµ µµ ≤ ≤ NG A i B i NH A i B i (ii) 2 3 2 1 2 1 ( ( ), ( ); ) ( ( ), ( ); ) ( ( ), ( ); ) 3 M x xW M x xW M x xW NN A i B i µ µ ≤ ≤ NN A i B i µ µ NG A i B i µ µ 2 ( ( ), ( ); ) ≤ M x xW NH A i B i µ µ and (iii) 1 1 ( ( ), ( ); ) ( ( ), ( ); ) M x xW M x xW NG A i B i µµ µµ ≤ NH A i B i To establish the bounds/inequalities, we have exploited weighted fuzzy f-divergence corresponding to Csiszar’s f-divergence.

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Priti Gupta, Santosh Kumari / On Bounds For Weighted Fuzzy Mean Difference-Divergence Measures / International Journal of Scientific Research, Vol.3, Issue.6 June 2014

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