Convex Optimization of Havrda-Charvat Distance
(Divergence) Metric by Employing Lagrangian Policy in
Intuitionistic Fuzzy Setting
Rohit Kumar Verma
Abstract
According to the established requirements, the
distribution that minimizes the Kullback-Leibler
divergence is chosen using the minimal likeliness
distance (divergence) metric principle. This
fundamental principle generalizes various approaches
that have been put forth independently and cover a wide
range of distributions. Additionally, we point out that
the Lagrangian approach is a particular instance of
minimum distance (divergence) metric (MDM) with a
uniform posterior distribution. To provide much-needed
clarification, this study is done in intuitionistic
fuzzy environment thatgives us the analytical
solutionand the direction which highlights this link.
Keywords: Aggregation, Lagrangian approach, distance
(divergence) metric, Gamma Distribution, Thresholding,
Optimization
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