Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets

Nursah Alkan; Cengiz Kahraman

doi:10.1007/978-3-031-97985-9_40

Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets

Nursah Alkan^*
, Cengiz Kahraman

^*Bu çalışma için yazışmadan sorumlu yazar

Endüstri Mühendisliği Bölümü

Istanbul Technical University

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

Özet

Proportional fuzzy sets have been proposed for the facilitation of membership degree determination. Proportional intuitionistic fuzzy sets, proportional picture fuzzy sets, proportional Pythagorean fuzzy sets, proportional spherical fuzzy sets and proportional neutrosophic sets have been developed in the literature. In this paper, aggregation operators for proportional intuitionistic fuzzy sets and proportional picture fuzzy sets are developed based on intuitionistic fuzzy Dombi weighted averaging (INFDWA) operator and intuitionistic fuzzy Einstein weighted geometric (INFEWG) operator. Two multi-attribute decision-making (MADM) problems are comparatively solved by using these operators.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference
Editörler	Cengiz Kahraman, Basar Oztaysi, Selcuk Cebi, Sezi Cevik Onar, Cagri Tolga, Irem Ucal Sari, Irem Otay
Yayınlayan	Springer Science and Business Media Deutschland GmbH
Sayfalar	358-368
Sayfa sayısı	11
ISBN (Basılı)	9783031979842
DOI'lar	https://doi.org/10.1007/978-3-031-97985-9_40
Yayın durumu	Yayınlandı - 2025
Etkinlik	7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025 - Istanbul, Türkiye Süre: 29 Tem 2025 → 31 Tem 2025

Yayın serisi

Adı	Lecture Notes in Networks and Systems
Hacim	1528 LNNS
ISSN (Basılı)	2367-3370
ISSN (Elektronik)	2367-3389

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

???event.eventtypes.event.conference???	7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025
Ülke/Bölge	Türkiye
Şehir	Istanbul
Periyot	29/07/25 → 31/07/25

Bibliyografik not

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

Belgeye Erişim

10.1007/978-3-031-97985-9_40

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Alkan, N., & Kahraman, C. (2025). Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets. In C. Kahraman, B. Oztaysi, S. Cebi, S. Cevik Onar, C. Tolga, I. Ucal Sari, & I. Otay (Eds.), Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference (pp. 358-368). (Lecture Notes in Networks and Systems; Hac. 1528 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-97985-9_40

Alkan, Nursah ; Kahraman, Cengiz. / Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets. Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference. editör / Cengiz Kahraman ; Basar Oztaysi ; Selcuk Cebi ; Sezi Cevik Onar ; Cagri Tolga ; Irem Ucal Sari ; Irem Otay. Springer Science and Business Media Deutschland GmbH, 2025. pp. 358-368 (Lecture Notes in Networks and Systems).

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title = "Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets",

abstract = "Proportional fuzzy sets have been proposed for the facilitation of membership degree determination. Proportional intuitionistic fuzzy sets, proportional picture fuzzy sets, proportional Pythagorean fuzzy sets, proportional spherical fuzzy sets and proportional neutrosophic sets have been developed in the literature. In this paper, aggregation operators for proportional intuitionistic fuzzy sets and proportional picture fuzzy sets are developed based on intuitionistic fuzzy Dombi weighted averaging (INFDWA) operator and intuitionistic fuzzy Einstein weighted geometric (INFEWG) operator. Two multi-attribute decision-making (MADM) problems are comparatively solved by using these operators.",

keywords = "Dombi aggregation operator, Einstein aggregation operator, Proportional fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets",

author = "Nursah Alkan and Cengiz Kahraman",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.; 7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025 ; Conference date: 29-07-2025 Through 31-07-2025",

year = "2025",

doi = "10.1007/978-3-031-97985-9\_40",

language = "English",

isbn = "9783031979842",

series = "Lecture Notes in Networks and Systems",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "358--368",

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

booktitle = "Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference",

address = "Germany",

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Alkan, N & Kahraman, C 2025, Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets. in C Kahraman, B Oztaysi, S Cebi, S Cevik Onar, C Tolga, I Ucal Sari & I Otay (eds), Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference. Lecture Notes in Networks and Systems, hac. 1528 LNNS, Springer Science and Business Media Deutschland GmbH, pp. 358-368, 7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025, Istanbul, Türkiye, 29/07/25. https://doi.org/10.1007/978-3-031-97985-9_40

Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets. / Alkan, Nursah; Kahraman, Cengiz.
Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference. ed. / Cengiz Kahraman; Basar Oztaysi; Selcuk Cebi; Sezi Cevik Onar; Cagri Tolga; Irem Ucal Sari; Irem Otay. Springer Science and Business Media Deutschland GmbH, 2025. p. 358-368 (Lecture Notes in Networks and Systems; Hac. 1528 LNNS).

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

TY - GEN

T1 - Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets

AU - Alkan, Nursah

AU - Kahraman, Cengiz

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

PY - 2025

Y1 - 2025

N2 - Proportional fuzzy sets have been proposed for the facilitation of membership degree determination. Proportional intuitionistic fuzzy sets, proportional picture fuzzy sets, proportional Pythagorean fuzzy sets, proportional spherical fuzzy sets and proportional neutrosophic sets have been developed in the literature. In this paper, aggregation operators for proportional intuitionistic fuzzy sets and proportional picture fuzzy sets are developed based on intuitionistic fuzzy Dombi weighted averaging (INFDWA) operator and intuitionistic fuzzy Einstein weighted geometric (INFEWG) operator. Two multi-attribute decision-making (MADM) problems are comparatively solved by using these operators.

AB - Proportional fuzzy sets have been proposed for the facilitation of membership degree determination. Proportional intuitionistic fuzzy sets, proportional picture fuzzy sets, proportional Pythagorean fuzzy sets, proportional spherical fuzzy sets and proportional neutrosophic sets have been developed in the literature. In this paper, aggregation operators for proportional intuitionistic fuzzy sets and proportional picture fuzzy sets are developed based on intuitionistic fuzzy Dombi weighted averaging (INFDWA) operator and intuitionistic fuzzy Einstein weighted geometric (INFEWG) operator. Two multi-attribute decision-making (MADM) problems are comparatively solved by using these operators.

KW - Dombi aggregation operator

KW - Einstein aggregation operator

KW - Proportional fuzzy sets

KW - intuitionistic fuzzy sets

KW - picture fuzzy sets

UR - https://www.scopus.com/pages/publications/105012920457

U2 - 10.1007/978-3-031-97985-9_40

DO - 10.1007/978-3-031-97985-9_40

M3 - Conference contribution

AN - SCOPUS:105012920457

SN - 9783031979842

T3 - Lecture Notes in Networks and Systems

SP - 358

EP - 368

BT - Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference

A2 - Kahraman, Cengiz

A2 - Oztaysi, Basar

A2 - Cebi, Selcuk

A2 - Cevik Onar, Sezi

A2 - Tolga, Cagri

A2 - Ucal Sari, Irem

A2 - Otay, Irem

PB - Springer Science and Business Media Deutschland GmbH

T2 - 7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025

Y2 - 29 July 2025 through 31 July 2025

ER -

Alkan N, Kahraman C. Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets. In Kahraman C, Oztaysi B, Cebi S, Cevik Onar S, Tolga C, Ucal Sari I, Otay I, editörler, Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference. Springer Science and Business Media Deutschland GmbH. 2025. p. 358-368. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-031-97985-9_40

Aggregation Operators for Proportional Intuitionistic Fuzzy Sets and Picture Fuzzy Sets

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