Pseudo-convolution based on idempotent operation as limit of g-convolution

E. Pap, Ivana Štajner

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Operation with functions known as pseudo-convolution and its generalization as well as theirs basic properties has been presented. Then, it has been proved that pseudo-convolution which core is pseudo-integral based on max or min decomposable measure can be obtained as limit of g-convolutions, i.e., pseudo-convolutions with pseudo-integrals based on ⊗-decomposable measures where ⊕ is generated pseudo-addition, as theirs cores.

Original languageEnglish
Pages (from-to)615-629
Number of pages15
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume7
Issue number6
Publication statusPublished - Dec 1999

Fingerprint

Convolution

Keywords

  • Pseudo-convolution
  • Semiring

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

Pseudo-convolution based on idempotent operation as limit of g-convolution. / Pap, E.; Štajner, Ivana.

In: International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, Vol. 7, No. 6, 12.1999, p. 615-629.

Research output: Contribution to journalArticle

@article{999b7b3c1fa24c55a2127248e6c586bb,
title = "Pseudo-convolution based on idempotent operation as limit of g-convolution",
abstract = "Operation with functions known as pseudo-convolution and its generalization as well as theirs basic properties has been presented. Then, it has been proved that pseudo-convolution which core is pseudo-integral based on max or min decomposable measure can be obtained as limit of g-convolutions, i.e., pseudo-convolutions with pseudo-integrals based on ⊗-decomposable measures where ⊕ is generated pseudo-addition, as theirs cores.",
keywords = "Pseudo-convolution, Semiring",
author = "E. Pap and Ivana Štajner",
year = "1999",
month = "12",
language = "English",
volume = "7",
pages = "615--629",
journal = "International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems",
issn = "0218-4885",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "6",

}

TY - JOUR

T1 - Pseudo-convolution based on idempotent operation as limit of g-convolution

AU - Pap, E.

AU - Štajner, Ivana

PY - 1999/12

Y1 - 1999/12

N2 - Operation with functions known as pseudo-convolution and its generalization as well as theirs basic properties has been presented. Then, it has been proved that pseudo-convolution which core is pseudo-integral based on max or min decomposable measure can be obtained as limit of g-convolutions, i.e., pseudo-convolutions with pseudo-integrals based on ⊗-decomposable measures where ⊕ is generated pseudo-addition, as theirs cores.

AB - Operation with functions known as pseudo-convolution and its generalization as well as theirs basic properties has been presented. Then, it has been proved that pseudo-convolution which core is pseudo-integral based on max or min decomposable measure can be obtained as limit of g-convolutions, i.e., pseudo-convolutions with pseudo-integrals based on ⊗-decomposable measures where ⊕ is generated pseudo-addition, as theirs cores.

KW - Pseudo-convolution

KW - Semiring

UR - http://www.scopus.com/inward/record.url?scp=0347511548&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347511548&partnerID=8YFLogxK

M3 - Article

VL - 7

SP - 615

EP - 629

JO - International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems

JF - International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems

SN - 0218-4885

IS - 6

ER -