An Integrated Algorithm of Liu's Generalized Lambda-Measure Based Choquet Integral and Hurst Exponent

2012 ◽  
Author(s):  
Hsiang-Chuan Liu ◽  
Hsien-Chang Tsai ◽  
Yu-Ting Cheng ◽  
Yen-Kuei Yu
Keyword(s):  
Hurst Exponent ◽  
Choquet Integral

Choquet integral algorithm for thermostable proteins based on Hurst exponent and generalized L-measure

2010 ◽  
Author(s):  
Horng-Jinh Chang ◽  
Pei-Chun Chang ◽  
Hsiang-Chuan Liu ◽  
Kuei-Jen Lee ◽  
Jing-Doo Wang ◽  
...  
Keyword(s):  
Hurst Exponent ◽  
Choquet Integral

On a Choquet-Stieltjes type integral on intervals

2019 ◽  
Vol 69 (4) ◽  
pp. 801-814 ◽  
Author(s):  
Sorin G. Gal
Keyword(s):  
Lebesgue Measure ◽  
Choquet Integral ◽  
Stieltjes Integral ◽  
Line Integral ◽  
Type Integral ◽  
Choquet Integrals ◽  
Lebesgue Measures ◽  
Stieltjes Type

Abstract In this paper we introduce a new concept of Choquet-Stieltjes integral of f with respect to g on intervals, as a limit of Choquet integrals with respect to a capacity μ. For g(t) = t, one reduces to the usual Choquet integral and unlike the old known concept of Choquet-Stieltjes integral, for μ the Lebesgue measure, one reduces to the usual Riemann-Stieltjes integral. In the case of distorted Lebesgue measures, several properties of this new integral are obtained. As an application, the concept of Choquet line integral of second kind is introduced and some of its properties are obtained.

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