A generalized α-level decomposition concept for numerical fuzzy calculus

Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

Standard

A generalized α-level decomposition concept for numerical fuzzy calculus. / Seibel, Arthur; Schlattmann, Josef.
Proceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015. ed. / Jose M. Alonso; Marek Reformat; Humberto Bustince. Atlantis Press, 2015. p. 137-140 (Advances in Intelligent Systems Research; Vol. 89).

Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

Harvard

Seibel, A & Schlattmann, J 2015, A generalized α-level decomposition concept for numerical fuzzy calculus. in JM Alonso, M Reformat & H Bustince (eds), Proceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015. Advances in Intelligent Systems Research, vol. 89, Atlantis Press, pp. 137-140, Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology - IFSA-EUSFLAT 2015, Gijón, Asturias, Spain, 30.06.15. https://doi.org/10.2991/ifsa-eusflat-15.2015.12

APA

Seibel, A., & Schlattmann, J. (2015). A generalized α-level decomposition concept for numerical fuzzy calculus. In J. M. Alonso, M. Reformat, & H. Bustince (Eds.), Proceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015 (pp. 137-140). (Advances in Intelligent Systems Research; Vol. 89). Atlantis Press. https://doi.org/10.2991/ifsa-eusflat-15.2015.12

Vancouver

Seibel A, Schlattmann J. A generalized α-level decomposition concept for numerical fuzzy calculus. In Alonso JM, Reformat M, Bustince H, editors, Proceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015. Atlantis Press. 2015. p. 137-140. (Advances in Intelligent Systems Research). doi: 10.2991/ifsa-eusflat-15.2015.12

Bibtex

@inbook{bcb1ede460624ae0b65b72492aa2be99,
title = "A generalized α-level decomposition concept for numerical fuzzy calculus",
abstract = "This paper presents a new concept for the decomposition of fuzzy numbers into a finite number of α-cuts. Instead of subdividing the µ axis in an equidistant way, we suggest to subdivide the x axis equidistantly leading to a more efficient decomposition of the µ axis. Considering the interpolation error as a measure for the loss of information during the decomposition, our concept leads to the minimal information loss of the decomposed fuzzy numbers.",
keywords = "Engineering, Decomposition of fuzzy numbers, α-cuts, numerical fuzzy calculus",
author = "Arthur Seibel and Josef Schlattmann",
note = "{\textcopyright} 2015, the Authors. Published by Atlantis Press.; Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology - IFSA-EUSFLAT 2015, IFSA-EUSFLAT 2015 ; Conference date: 30-06-2015 Through 03-07-2015",
year = "2015",
month = oct,
doi = "10.2991/ifsa-eusflat-15.2015.12",
language = "English",
isbn = "978-1-5108-0807-2",
series = "Advances in Intelligent Systems Research",
publisher = "Atlantis Press",
pages = "137--140",
editor = "Alonso, {Jose M.} and Marek Reformat and Humberto Bustince",
booktitle = "Proceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015",
address = "Netherlands",
url = "https://www.e3sensory.eu/ifsa-eusflat-2015/",

}

RIS

TY - CHAP

T1 - A generalized α-level decomposition concept for numerical fuzzy calculus

AU - Seibel, Arthur

AU - Schlattmann, Josef

N1 - © 2015, the Authors. Published by Atlantis Press.

PY - 2015/10

Y1 - 2015/10

N2 - This paper presents a new concept for the decomposition of fuzzy numbers into a finite number of α-cuts. Instead of subdividing the µ axis in an equidistant way, we suggest to subdivide the x axis equidistantly leading to a more efficient decomposition of the µ axis. Considering the interpolation error as a measure for the loss of information during the decomposition, our concept leads to the minimal information loss of the decomposed fuzzy numbers.

AB - This paper presents a new concept for the decomposition of fuzzy numbers into a finite number of α-cuts. Instead of subdividing the µ axis in an equidistant way, we suggest to subdivide the x axis equidistantly leading to a more efficient decomposition of the µ axis. Considering the interpolation error as a measure for the loss of information during the decomposition, our concept leads to the minimal information loss of the decomposed fuzzy numbers.

KW - Engineering

KW - Decomposition of fuzzy numbers

KW - α-cuts

KW - numerical fuzzy calculus

UR - https://www.proceedings.com/content/027/027013webtoc.pdf

U2 - 10.2991/ifsa-eusflat-15.2015.12

DO - 10.2991/ifsa-eusflat-15.2015.12

M3 - Article in conference proceedings

SN - 978-1-5108-0807-2

T3 - Advances in Intelligent Systems Research

SP - 137

EP - 140

BT - Proceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015

A2 - Alonso, Jose M.

A2 - Reformat, Marek

A2 - Bustince, Humberto

PB - Atlantis Press

T2 - Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology - IFSA-EUSFLAT 2015

Y2 - 30 June 2015 through 3 July 2015

ER -