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A new development of an adaptive X − R control chart under a fuzzy environment

Sabahno, Hamed LU orcid ; Mousavi, Seyed Meysam and Amiri, Amirhossein (2019) In International Journal of Data Mining, Modelling and Management 11(1). p.19-44
Abstract

It is proved that adaptive control charts have better performance than classical control charts due to adaptability of some or all of their parameters to the previous process information. Fuzzy classical control charts have been occasionally considered by many researchers in the last two decades; however, fuzzy adaptive control charts have not been investigated. In this paper, we introduce a new adaptive X − R fuzzy control chart that allows all of the charts' parameters to adapt based on the process state in the previous sample. Also, the warning limits are redefined in the fuzzy environments. We utilise fuzzy mode defuzzification technique to design the decision procedure in the proposed fuzzy adaptive control chart. Finally, an... (More)

It is proved that adaptive control charts have better performance than classical control charts due to adaptability of some or all of their parameters to the previous process information. Fuzzy classical control charts have been occasionally considered by many researchers in the last two decades; however, fuzzy adaptive control charts have not been investigated. In this paper, we introduce a new adaptive X − R fuzzy control chart that allows all of the charts' parameters to adapt based on the process state in the previous sample. Also, the warning limits are redefined in the fuzzy environments. We utilise fuzzy mode defuzzification technique to design the decision procedure in the proposed fuzzy adaptive control chart. Finally, an illustrative example is used to present the application of the proposed control chart.

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Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Adaptive control charts, Fuzzy uncertainty, Trapezoidal fuzzy numbers, TrFNs, X − R control charts
in
International Journal of Data Mining, Modelling and Management
volume
11
issue
1
pages
26 pages
publisher
Inderscience Publishers
external identifiers
  • scopus:85058177941
ISSN
1759-1163
DOI
10.1504/IJDMMM.2019.096547
language
English
LU publication?
no
additional info
Publisher Copyright: Copyright © 2019 Inderscience Enterprises Ltd.
id
0e15133f-19c5-4891-95ae-e3082ddf3332
date added to LUP
2025-03-20 12:20:17
date last changed
2025-04-04 14:52:19
@article{0e15133f-19c5-4891-95ae-e3082ddf3332,
  abstract     = {{<p>It is proved that adaptive control charts have better performance than classical control charts due to adaptability of some or all of their parameters to the previous process information. Fuzzy classical control charts have been occasionally considered by many researchers in the last two decades; however, fuzzy adaptive control charts have not been investigated. In this paper, we introduce a new adaptive X − R fuzzy control chart that allows all of the charts' parameters to adapt based on the process state in the previous sample. Also, the warning limits are redefined in the fuzzy environments. We utilise fuzzy mode defuzzification technique to design the decision procedure in the proposed fuzzy adaptive control chart. Finally, an illustrative example is used to present the application of the proposed control chart.</p>}},
  author       = {{Sabahno, Hamed and Mousavi, Seyed Meysam and Amiri, Amirhossein}},
  issn         = {{1759-1163}},
  keywords     = {{Adaptive control charts; Fuzzy uncertainty; Trapezoidal fuzzy numbers; TrFNs; X − R control charts}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{19--44}},
  publisher    = {{Inderscience Publishers}},
  series       = {{International Journal of Data Mining, Modelling and Management}},
  title        = {{A new development of an adaptive X − R control chart under a fuzzy environment}},
  url          = {{http://dx.doi.org/10.1504/IJDMMM.2019.096547}},
  doi          = {{10.1504/IJDMMM.2019.096547}},
  volume       = {{11}},
  year         = {{2019}},
}