On laws of large numbers for L-R fuzzy variables

Shu Ming Wang; Junzo Watada

doi:10.1109/ICMLC.2008.4621057

On laws of large numbers for L-R fuzzy variables

Shu Ming Wang^*, Junzo Watada

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

In this study, we discuss the laws of large numbers for T-independent L-R fuzzy variables based on continuous Archimedean t-norm and expected value of fuzzy variable. First, by using continuous Archimedean t-norm, we derive several convergent properties of sum of L-R fuzzy variables in credibility measure and in expected value, respectively. Then, on the basis of the obtained convergent properties, we establish some laws of large numbers for T-independent L-R fuzzy variables.

Original language	English
Title of host publication	Proceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC
Pages	3750-3755
Number of pages	6
Volume	7
DOIs	https://doi.org/10.1109/ICMLC.2008.4621057
Publication status	Published - 2008
Event	7th International Conference on Machine Learning and Cybernetics, ICMLC - Kunming Duration: 2008 Jul 12 → 2008 Jul 15

Other

Other	7th International Conference on Machine Learning and Cybernetics, ICMLC
City	Kunming
Period	08/7/12 → 08/7/15

Keywords

Credibility measure
Fuzzy variable
Independence
Law of large numbers
Triangular norm

ASJC Scopus subject areas

Artificial Intelligence
Human-Computer Interaction
Control and Systems Engineering

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10.1109/ICMLC.2008.4621057

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title = "On laws of large numbers for L-R fuzzy variables",

abstract = "In this study, we discuss the laws of large numbers for T-independent L-R fuzzy variables based on continuous Archimedean t-norm and expected value of fuzzy variable. First, by using continuous Archimedean t-norm, we derive several convergent properties of sum of L-R fuzzy variables in credibility measure and in expected value, respectively. Then, on the basis of the obtained convergent properties, we establish some laws of large numbers for T-independent L-R fuzzy variables.",

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author = "Wang, {Shu Ming} and Junzo Watada",

year = "2008",

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language = "English",

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volume = "7",

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T1 - On laws of large numbers for L-R fuzzy variables

AU - Wang, Shu Ming

AU - Watada, Junzo

PY - 2008

Y1 - 2008

N2 - In this study, we discuss the laws of large numbers for T-independent L-R fuzzy variables based on continuous Archimedean t-norm and expected value of fuzzy variable. First, by using continuous Archimedean t-norm, we derive several convergent properties of sum of L-R fuzzy variables in credibility measure and in expected value, respectively. Then, on the basis of the obtained convergent properties, we establish some laws of large numbers for T-independent L-R fuzzy variables.

AB - In this study, we discuss the laws of large numbers for T-independent L-R fuzzy variables based on continuous Archimedean t-norm and expected value of fuzzy variable. First, by using continuous Archimedean t-norm, we derive several convergent properties of sum of L-R fuzzy variables in credibility measure and in expected value, respectively. Then, on the basis of the obtained convergent properties, we establish some laws of large numbers for T-independent L-R fuzzy variables.

KW - Credibility measure

KW - Fuzzy variable

KW - Independence

KW - Law of large numbers

KW - Triangular norm

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U2 - 10.1109/ICMLC.2008.4621057

DO - 10.1109/ICMLC.2008.4621057

M3 - Conference contribution

AN - SCOPUS:57749083617

SN - 9781424420964

VL - 7

SP - 3750

EP - 3755

BT - Proceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC

T2 - 7th International Conference on Machine Learning and Cybernetics, ICMLC

Y2 - 12 July 2008 through 15 July 2008

ER -

On laws of large numbers for L-R fuzzy variables

Abstract

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Keywords

ASJC Scopus subject areas

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