Satish Kumar
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View article: A new exponential knowledge and similarity measure with application in multi-criteria decision-making
A new exponential knowledge and similarity measure with application in multi-criteria decision-making Open
The knowledge measure of fuzzy sets (FSs) has drawn greater attention and is still unresolved since it is the complementary idea to fuzzy entropy. The amount of knowledge is important in evaluating fuzzy information. This study proposes an…
View article: A Chaotic Approach for Calculating Minimum Embedding Dimension
A Chaotic Approach for Calculating Minimum Embedding Dimension Open
Objective: The aim of this study is to apply different methods to identify chaos in the temperature time series data of Delhi, India, spanning from 1995 to 2019 during the dry season. The goal is to assess the minimum embedding dimension a…
View article: Solution of Abel's integral equation by modified Taylor wavelet with error analysis
Solution of Abel's integral equation by modified Taylor wavelet with error analysis Open
In this paper, a modified Taylor wavelet (MTW) is introduced. Three new estimators $ E_{2^{k-1},M}^{(1)}(f) $, $ E_{2^{k-1},M}^{(2)}(f) $ and $ E_{2^{k-1},M}^{(3)}(f) $ of functions of H$ \ddot{\text{o}} $lder's class $ H^{\alpha} [0,1) $ …
View article: RAFI: Parallel Dynamic Test-suite Reduction for Software
RAFI: Parallel Dynamic Test-suite Reduction for Software Open
A pattern in programming testing diminishes the size of a test suite while protecting its general quality. For programming, test cases and a bunch of requirements are given. Each test case is covering a few requirements. In this paper, we …
View article: CAS wavelet approximation of functions of Holder class and solutions of Fredholm integral equation
CAS wavelet approximation of functions of Holder class and solutions of Fredholm integral equation Open
In this paper, cosine and sine wavelet is considered. Two new CAS wavelet estimators E(1) 2k;2M+1(f) and E(2) 2k;2M+1(f) for the approximation of a function f whose first derivative f' and second derivative f '' belong to Hölder's class Hα…
View article: Application of Non-Additive Entropy in Questionnaire Theory
Application of Non-Additive Entropy in Questionnaire Theory Open
In present communication We proposed two new measure of average charge for miscellaneous set of questions under non-additivity and studied their properties These measures includes the earlier studied measures as limiting and particular cas…
View article: On the Non-Linear Diophantine Equations 31x + 41y = z2 and 61x + 71y = z2
On the Non-Linear Diophantine Equations 31x + 41y = z2 and 61x + 71y = z2 Open
In this paper, we discussed all the solutions of non-linear Diophantine equations 31 x + 41 y = z 2 and 61 x + 71 y = z 2 , where x, y and z are non-negative integers and proved that these non-linear Diophantine equations have no non-negat…
View article: On the Non-Linear Diophantine Equation p^x+〖(p+6)〗^y=z^2
On the Non-Linear Diophantine Equation p^x+〖(p+6)〗^y=z^2 Open
In this paper, we consider the non-linear Diophantine equation ௫ + ( + 6) ௬ = ݖ ଶ , where p and p+6 both are primes with p=6n+1.x, y and z are nonnegative integers and n is natural number.It is shown that this non-linear Diophantine…
View article: On the Non-Linear Diophantine Equation 61^x + 67^y = z^2 and 67^x + 73^y = z^2
On the Non-Linear Diophantine Equation 61^x + 67^y = z^2 and 67^x + 73^y = z^2 Open
In this paper, we consider the non-linear Diophantine equations 61 x + 67 y = z 2 and 67 x + 73 y = z 2 , where x, y and z are non-negative integers.It has been shown that these non-linear Diophantine equations have no solution.
View article: Some Inequalities in Information Theory Using Tsallis Entropy
Some Inequalities in Information Theory Using Tsallis Entropy Open
We present a relation between Tsallis’s entropy and generalized Kerridge inaccuracy which is called generalized Shannon inequality and is well-known generalization in information theory and then give its application in coding theory. The o…
View article: A Joint Representation of Rényi’s and Tsalli’s Entropy with Application in Coding Theory
A Joint Representation of Rényi’s and Tsalli’s Entropy with Application in Coding Theory Open
We introduce a quantity which is called Rényi’s-Tsalli’s entropy of order and discussed some of its major properties with Shannon and other entropies in the literature. Further, we give its application in coding theory and a coding theore…