2020
DOI: 10.4236/jmp.2020.111008
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An Introduction to Information Sets with an Application to Iris Based Authentication

Abstract: This paper presents the information set which originates from a fuzzy set on applying the Hanman-Anirban entropy function to represent the uncertainty. Each element of the information set is called the information value which is a product of the information source value and its membership function value. The Hanman filter that modifies the information set is derived by using a filtering function. Adaptive Hanman-Anirban entropy is formulated and its properties are given. It paves the way for higher form of inf… Show more

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Cited by 10 publications
(5 citation statements)
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“…The basic information value Ixμx is considered the unit of Information. The properties of the information set and different features derived from it can be found in References 34–36. Having defined the information value associated with each attribute value, we return to the problem under consideration.…”
Section: The Proposed Methodologymentioning
confidence: 99%
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“…The basic information value Ixμx is considered the unit of Information. The properties of the information set and different features derived from it can be found in References 34–36. Having defined the information value associated with each attribute value, we return to the problem under consideration.…”
Section: The Proposed Methodologymentioning
confidence: 99%
“…= d (.) = 0, c(). = μz which is the membership function of Iz in Equation (), it becomes the Hanman transform 34 : H()Izgoodbreak=1nz=1n{}IzeμzIz. …”
Section: The Proposed Methodologymentioning
confidence: 99%
See 1 more Smart Citation
“…properties are given in [30] and [31]. It is similar to (44) except that its parameters are variables.…”
Section: Definition Of the Information Setmentioning
confidence: 99%
“…To derive this, we make use of the non-normalized Hanman-Anirban entropy function in the possibilistic domain. It is defined as: By choosing the real parameters the exponential gain function can be converted into a Gaussian membership function [30] involving a fuzzifier for the greyscale mammogram image I as follows: I(Ref ), i.e. reference value of the image is taken as the average value and f 2 h (Ref) is the fuzzifier or spread function that is similar to the variance taken from [29].…”
Section: Conflict Of Interestmentioning
confidence: 99%