Simulation of sample paths and distribution of liu integrals

Uncertain process and uncertain integral are important contents of uncertainty theory. In this paper, we study some typesof uncertain integral named Liu integral. Here, we obtained the analytical solution of Liu integral by integration methods. As a new work, we simulated the sample paths and distri...

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Main Authors: Behrouz Fathi Vajargah, Sara Ghasemalipour, Maryam Doosti
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2021-06-01
Series:Journal of Hyperstructures
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Online Access:https://jhs.uma.ac.ir/article_2642_139650a26bc7e59f01e7d41f92b2ea0b.pdf
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author Behrouz Fathi Vajargah
Sara Ghasemalipour
Maryam Doosti
author_facet Behrouz Fathi Vajargah
Sara Ghasemalipour
Maryam Doosti
author_sort Behrouz Fathi Vajargah
collection DOAJ
description Uncertain process and uncertain integral are important contents of uncertainty theory. In this paper, we study some typesof uncertain integral named Liu integral. Here, we obtained the analytical solution of Liu integral by integration methods. As a new work, we simulated the sample paths and distribution of Liu integral. The simulation method run on some new examples and results are shown.
format Article
id doaj-art-2b5e976b681945468c5f56c078886d0a
institution Kabale University
issn 2251-8436
2322-1666
language English
publishDate 2021-06-01
publisher University of Mohaghegh Ardabili
record_format Article
series Journal of Hyperstructures
spelling doaj-art-2b5e976b681945468c5f56c078886d0a2025-08-20T03:50:06ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662021-06-01101738510.22098/jhs.2021.26422642Simulation of sample paths and distribution of liu integralsBehrouz Fathi Vajargah0Sara Ghasemalipour1Maryam Doosti2Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranDepartment of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranDepartment of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranUncertain process and uncertain integral are important contents of uncertainty theory. In this paper, we study some typesof uncertain integral named Liu integral. Here, we obtained the analytical solution of Liu integral by integration methods. As a new work, we simulated the sample paths and distribution of Liu integral. The simulation method run on some new examples and results are shown.https://jhs.uma.ac.ir/article_2642_139650a26bc7e59f01e7d41f92b2ea0b.pdfliu processliu integralsample pathsimulation methodpartitioned rand
spellingShingle Behrouz Fathi Vajargah
Sara Ghasemalipour
Maryam Doosti
Simulation of sample paths and distribution of liu integrals
Journal of Hyperstructures
liu process
liu integral
sample path
simulation method
partitioned rand
title Simulation of sample paths and distribution of liu integrals
title_full Simulation of sample paths and distribution of liu integrals
title_fullStr Simulation of sample paths and distribution of liu integrals
title_full_unstemmed Simulation of sample paths and distribution of liu integrals
title_short Simulation of sample paths and distribution of liu integrals
title_sort simulation of sample paths and distribution of liu integrals
topic liu process
liu integral
sample path
simulation method
partitioned rand
url https://jhs.uma.ac.ir/article_2642_139650a26bc7e59f01e7d41f92b2ea0b.pdf
work_keys_str_mv AT behrouzfathivajargah simulationofsamplepathsanddistributionofliuintegrals
AT saraghasemalipour simulationofsamplepathsanddistributionofliuintegrals
AT maryamdoosti simulationofsamplepathsanddistributionofliuintegrals