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New measures of weighted fuzzy entropy and their applications for the study of maximum weighted fuzzy entropy principle
Authors:Om Parkash  Renuka Mahajan
Affiliation:a Department of Mathematics, Guru Nanak Dev University, Amritsar 143 005, India
b Department of Mathematics, Hindu College, Amritsar 143 001, India
c Department of Mathematics, Rama Chopra College, Pathankot, India
Abstract:Keeping in view the non-probabilistic nature of experiments, two new measures of weighted fuzzy entropy have been introduced and to check their authenticity, the essential properties of these measures have been studied. Under the fact that measures of entropy can be used for the study of optimization principles when certain partial information is available, we have applied the existing as well as the newly introduced weighted measures of fuzzy entropy to study the maximum entropy principle.
Keywords:Fuzzy set  Fuzzy entropy  Weighted fuzzy entropy  Membership function  Maximum fuzzy entropy principle
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