Random fuzzy delayed renewal processes

Shunqin Li; Qiang Shen; Tang Wansheng; Zhao Ruiqing

doi:10.1007/s00500-008-0372-2

Random fuzzy delayed renewal processes

Shunqin Li
, Qiang Shen
, Tang Wansheng
, Zhao Ruiqing

Adran Cyfrifiadureg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

5 Dyfyniadau (Scopus)

279 Wedi eu Llwytho i Lawr (Pure)

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In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and useful theorems such as the elementary renewal theorem, Blackwell renewal theorem and Smith key renewal theorem in a conventional delayed renewal process are extended to their counterparts for random fuzzy delayed renewal processes.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	681-690
Nifer y tudalennau	10
Cyfnodolyn	Soft Computing
Cyfrol	13
Rhif cyhoeddi	7
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s00500-008-0372-2
Statws	Cyhoeddwyd - 2009

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10.1007/s00500-008-0372-2

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@article{307c0176f4664fb695a52bfa24eb7178,

title = "Random fuzzy delayed renewal processes",

abstract = "In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and useful theorems such as the elementary renewal theorem, Blackwell renewal theorem and Smith key renewal theorem in a conventional delayed renewal process are extended to their counterparts for random fuzzy delayed renewal processes.",

keywords = "Fuzzy variables, Random fuzzy variables, Renewal processes, Delayed renewal processes, Random fuzzy delayed renewal processes",

author = "Shunqin Li and Qiang Shen and Tang Wansheng and Zhao Ruiqing",

note = "S. Li, Q. Shen, W. Tang and R. Zhao. Random fuzzy delayed renewal processes. Soft Computing, 13(7):681-690, 2009. Sponsorship: EPSRC RONO: EP/D057086/1",

year = "2009",

doi = "10.1007/s00500-008-0372-2",

language = "English",

volume = "13",

pages = "681--690",

journal = "Soft Computing",

issn = "1433-7479",

publisher = "Springer Nature",

number = "7",

}

TY - JOUR

T1 - Random fuzzy delayed renewal processes

AU - Li, Shunqin

AU - Shen, Qiang

AU - Wansheng, Tang

AU - Ruiqing, Zhao

N1 - S. Li, Q. Shen, W. Tang and R. Zhao. Random fuzzy delayed renewal processes. Soft Computing, 13(7):681-690, 2009. Sponsorship: EPSRC RONO: EP/D057086/1

PY - 2009

Y1 - 2009

N2 - In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and useful theorems such as the elementary renewal theorem, Blackwell renewal theorem and Smith key renewal theorem in a conventional delayed renewal process are extended to their counterparts for random fuzzy delayed renewal processes.

AB - In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and useful theorems such as the elementary renewal theorem, Blackwell renewal theorem and Smith key renewal theorem in a conventional delayed renewal process are extended to their counterparts for random fuzzy delayed renewal processes.

KW - Fuzzy variables

KW - Random fuzzy variables

KW - Renewal processes

KW - Delayed renewal processes

KW - Random fuzzy delayed renewal processes

U2 - 10.1007/s00500-008-0372-2

DO - 10.1007/s00500-008-0372-2

M3 - Article

SN - 1433-7479

VL - 13

SP - 681

EP - 690

JO - Soft Computing

JF - Soft Computing

IS - 7

ER -

Random fuzzy delayed renewal processes

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