Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets

Elif Haktanır; Cengiz Kahraman

doi:10.1007/978-3-030-51156-2_162

Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets

Elif Haktanır^*, Cengiz Kahraman

^*Bu çalışma için yazışmadan sorumlu yazar

Endüstri Mühendisliği Bölümü

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

1 Atıf (Scopus)

Özet

Defects control charts are one of the attributes control charts which are constructed based on the number of defects on a product or in an inspection unit. Since the term ‘defect’ can be vague due to the subjective decisions of the quality control operator, it cannot be precisely defined. In such cases, fuzzy set theory can be used to add more information and flexibility to attribute based-process control. After the introduction of the ordinary fuzzy sets to the literature, it has been extended to many new types of fuzzy sets. One of the recent extensions, q-rung orthopair fuzzy sets, which is a generalization of intuitionistic fuzzy sets and Pythagorean fuzzy sets, provides a broader space to express ambiguous information, For the q-rung orthopair fuzzy sets the sum of the q^th power of the membership degree and the q^th power of the non-membership degree is equal to or less than one. In this study, the fifth power of the q-rung orthopair fuzzy sets is used to represent the impreciseness in the construction of the defects control charts and names as penthagorean fuzzy sets. An application in a TV production system is presented as an illustrative example.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Intelligent and Fuzzy Techniques
Ana bilgisayar yayını alt yazısı	Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference
Editörler	Cengiz Kahraman, Sezi Cevik Onar, Basar Oztaysi, Irem Ucal Sari, Selcuk Cebi, A. Cagri Tolga
Yayınlayan	Springer
Sayfalar	1396-1406
Sayfa sayısı	11
ISBN (Basılı)	9783030511555
DOI'lar	https://doi.org/10.1007/978-3-030-51156-2_162
Yayın durumu	Yayınlandı - 2021
Etkinlik	International Conference on Intelligent and Fuzzy Systems, INFUS 2020 - Istanbul, Turkey Süre: 21 Tem 2020 → 23 Tem 2020

Yayın serisi

Adı	Advances in Intelligent Systems and Computing
Hacim	1197 AISC
ISSN (Basılı)	2194-5357
ISSN (Elektronik)	2194-5365

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	International Conference on Intelligent and Fuzzy Systems, INFUS 2020
Ülke/Bölge	Turkey
Şehir	Istanbul
Periyot	21/07/20 → 23/07/20

Bibliyografik not

Publisher Copyright:
© 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.

Belgeye Erişim

10.1007/978-3-030-51156-2_162

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Haktanır, E., & Kahraman, C. (2021). Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets. In C. Kahraman, S. Cevik Onar, B. Oztaysi, I. U. Sari, S. Cebi, & A. C. Tolga (Eds.), Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference (pp. 1396-1406). (Advances in Intelligent Systems and Computing; Hac. 1197 AISC). Springer. https://doi.org/10.1007/978-3-030-51156-2_162

Haktanır, Elif ; Kahraman, Cengiz. / Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets. Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. editör / Cengiz Kahraman ; Sezi Cevik Onar ; Basar Oztaysi ; Irem Ucal Sari ; Selcuk Cebi ; A. Cagri Tolga. Springer, 2021. pp. 1396-1406 (Advances in Intelligent Systems and Computing).

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title = "Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets",

abstract = "Defects control charts are one of the attributes control charts which are constructed based on the number of defects on a product or in an inspection unit. Since the term {\textquoteleft}defect{\textquoteright} can be vague due to the subjective decisions of the quality control operator, it cannot be precisely defined. In such cases, fuzzy set theory can be used to add more information and flexibility to attribute based-process control. After the introduction of the ordinary fuzzy sets to the literature, it has been extended to many new types of fuzzy sets. One of the recent extensions, q-rung orthopair fuzzy sets, which is a generalization of intuitionistic fuzzy sets and Pythagorean fuzzy sets, provides a broader space to express ambiguous information, For the q-rung orthopair fuzzy sets the sum of the qth power of the membership degree and the qth power of the non-membership degree is equal to or less than one. In this study, the fifth power of the q-rung orthopair fuzzy sets is used to represent the impreciseness in the construction of the defects control charts and names as penthagorean fuzzy sets. An application in a TV production system is presented as an illustrative example.",

keywords = "Attributes control charts, Defects control charts, Interval-valued penthagorean fuzzy sets, Intuitionistic fuzzy sets, q-rung orthopair fuzzy sets",

author = "Elif Haktanır and Cengiz Kahraman",

note = "Publisher Copyright: {\textcopyright} 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Conference on Intelligent and Fuzzy Systems, INFUS 2020 ; Conference date: 21-07-2020 Through 23-07-2020",

year = "2021",

doi = "10.1007/978-3-030-51156-2_162",

language = "English",

isbn = "9783030511555",

series = "Advances in Intelligent Systems and Computing",

publisher = "Springer",

pages = "1396--1406",

editor = "Cengiz Kahraman and {Cevik Onar}, Sezi and Basar Oztaysi and Sari, {Irem Ucal} and Selcuk Cebi and Tolga, {A. Cagri}",

booktitle = "Intelligent and Fuzzy Techniques",

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Haktanır, E & Kahraman, C 2021, Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets. in C Kahraman, S Cevik Onar, B Oztaysi, IU Sari, S Cebi & AC Tolga (eds), Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. Advances in Intelligent Systems and Computing, hac. 1197 AISC, Springer, pp. 1396-1406, International Conference on Intelligent and Fuzzy Systems, INFUS 2020, Istanbul, Turkey, 21/07/20. https://doi.org/10.1007/978-3-030-51156-2_162

Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets. / Haktanır, Elif; Kahraman, Cengiz.
Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. ed. / Cengiz Kahraman; Sezi Cevik Onar; Basar Oztaysi; Irem Ucal Sari; Selcuk Cebi; A. Cagri Tolga. Springer, 2021. p. 1396-1406 (Advances in Intelligent Systems and Computing; Hac. 1197 AISC).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets

AU - Haktanır, Elif

AU - Kahraman, Cengiz

PY - 2021

Y1 - 2021

N2 - Defects control charts are one of the attributes control charts which are constructed based on the number of defects on a product or in an inspection unit. Since the term ‘defect’ can be vague due to the subjective decisions of the quality control operator, it cannot be precisely defined. In such cases, fuzzy set theory can be used to add more information and flexibility to attribute based-process control. After the introduction of the ordinary fuzzy sets to the literature, it has been extended to many new types of fuzzy sets. One of the recent extensions, q-rung orthopair fuzzy sets, which is a generalization of intuitionistic fuzzy sets and Pythagorean fuzzy sets, provides a broader space to express ambiguous information, For the q-rung orthopair fuzzy sets the sum of the qth power of the membership degree and the qth power of the non-membership degree is equal to or less than one. In this study, the fifth power of the q-rung orthopair fuzzy sets is used to represent the impreciseness in the construction of the defects control charts and names as penthagorean fuzzy sets. An application in a TV production system is presented as an illustrative example.

AB - Defects control charts are one of the attributes control charts which are constructed based on the number of defects on a product or in an inspection unit. Since the term ‘defect’ can be vague due to the subjective decisions of the quality control operator, it cannot be precisely defined. In such cases, fuzzy set theory can be used to add more information and flexibility to attribute based-process control. After the introduction of the ordinary fuzzy sets to the literature, it has been extended to many new types of fuzzy sets. One of the recent extensions, q-rung orthopair fuzzy sets, which is a generalization of intuitionistic fuzzy sets and Pythagorean fuzzy sets, provides a broader space to express ambiguous information, For the q-rung orthopair fuzzy sets the sum of the qth power of the membership degree and the qth power of the non-membership degree is equal to or less than one. In this study, the fifth power of the q-rung orthopair fuzzy sets is used to represent the impreciseness in the construction of the defects control charts and names as penthagorean fuzzy sets. An application in a TV production system is presented as an illustrative example.

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KW - Interval-valued penthagorean fuzzy sets

KW - Intuitionistic fuzzy sets

KW - q-rung orthopair fuzzy sets

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DO - 10.1007/978-3-030-51156-2_162

M3 - Conference contribution

AN - SCOPUS:85088743218

SN - 9783030511555

T3 - Advances in Intelligent Systems and Computing

SP - 1396

EP - 1406

BT - Intelligent and Fuzzy Techniques

A2 - Kahraman, Cengiz

A2 - Cevik Onar, Sezi

A2 - Oztaysi, Basar

A2 - Sari, Irem Ucal

A2 - Cebi, Selcuk

A2 - Tolga, A. Cagri

PB - Springer

T2 - International Conference on Intelligent and Fuzzy Systems, INFUS 2020

Y2 - 21 July 2020 through 23 July 2020

ER -

Haktanır E, Kahraman C. Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets. In Kahraman C, Cevik Onar S, Oztaysi B, Sari IU, Cebi S, Tolga AC, editörler, Intelligent and Fuzzy Techniques: Smart and Innovative Solutions - Proceedings of the INFUS 2020 Conference. Springer. 2021. p. 1396-1406. (Advances in Intelligent Systems and Computing). doi: 10.1007/978-3-030-51156-2_162

Defects Control Charts Using Interval-Valued Penthagorean Fuzzy Sets

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Yayın serisi

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Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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