Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators

Cengiz Kahraman; Sezi Cevik Onar; Basar Oztaysi; Selcuk Cebi

doi:10.1007/978-3-031-97985-9_38

Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators

Cengiz Kahraman^*, Sezi Cevik Onar, Basar Oztaysi, Selcuk Cebi

^*Corresponding author for this work

Department of Industrial Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Proportional fuzzy sets ease the determination of membership, non-membership and hesitancy degrees of the elements in a fuzzy set. In the literature, intuitionistic fuzzy sets, Pythagorean fuzzy sets, picture fuzzy sets and spherical fuzzy sets have been already extended to their proportional equivalents. In this paper, the interval-valued proportional fuzzy set extensions will be developed. In this paper, their arithmetic operations and aggregation operators are defined and a decision making application is presented.

Original language	English
Title of host publication	Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference
Editors	Cengiz Kahraman, Basar Oztaysi, Selcuk Cebi, Sezi Cevik Onar, Cagri Tolga, Irem Ucal Sari, Irem Otay
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	341-346
Number of pages	6
ISBN (Print)	9783031979842
DOIs	https://doi.org/10.1007/978-3-031-97985-9_38
Publication status	Published - 2025
Event	7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025 - Istanbul, Turkey Duration: 29 Jul 2025 → 31 Jul 2025

Publication series

Name	Lecture Notes in Networks and Systems
Volume	1528 LNNS
ISSN (Print)	2367-3370
ISSN (Electronic)	2367-3389

Conference

Conference	7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025
Country/Territory	Turkey
City	Istanbul
Period	29/07/25 → 31/07/25

Bibliographical note

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

Keywords

Aggregation operators
Interval-valued sets
Proportional intuitionistic fuzzy sets

Access to Document

10.1007/978-3-031-97985-9_38

Cite this

Kahraman, C., Onar, S. C., Oztaysi, B., & Cebi, S. (2025). Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators. 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. 341-346). (Lecture Notes in Networks and Systems; Vol. 1528 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-97985-9_38

Kahraman, Cengiz ; Onar, Sezi Cevik ; Oztaysi, Basar et al. / Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators. Intelligent and Fuzzy Systems - Artificial Intelligence in Human-Centric, Resilient and Sustainable Industries, Proceedings of the INFUS 2025 Conference. editor / 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. 341-346 (Lecture Notes in Networks and Systems).

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abstract = "Proportional fuzzy sets ease the determination of membership, non-membership and hesitancy degrees of the elements in a fuzzy set. In the literature, intuitionistic fuzzy sets, Pythagorean fuzzy sets, picture fuzzy sets and spherical fuzzy sets have been already extended to their proportional equivalents. In this paper, the interval-valued proportional fuzzy set extensions will be developed. In this paper, their arithmetic operations and aggregation operators are defined and a decision making application is presented.",

keywords = "Aggregation operators, Interval-valued sets, Proportional intuitionistic fuzzy sets",

author = "Cengiz Kahraman and Onar, \{Sezi Cevik\} and Basar Oztaysi and Selcuk Cebi",

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",

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Kahraman, C, Onar, SC, Oztaysi, B & Cebi, S 2025, Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators. 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, vol. 1528 LNNS, Springer Science and Business Media Deutschland GmbH, pp. 341-346, 7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025, Istanbul, Turkey, 29/07/25. https://doi.org/10.1007/978-3-031-97985-9_38

Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators. / Kahraman, Cengiz; Onar, Sezi Cevik; Oztaysi, Basar et al.
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. 341-346 (Lecture Notes in Networks and Systems; Vol. 1528 LNNS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Onar, Sezi Cevik

AU - Oztaysi, Basar

AU - Cebi, Selcuk

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

PY - 2025

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AB - Proportional fuzzy sets ease the determination of membership, non-membership and hesitancy degrees of the elements in a fuzzy set. In the literature, intuitionistic fuzzy sets, Pythagorean fuzzy sets, picture fuzzy sets and spherical fuzzy sets have been already extended to their proportional equivalents. In this paper, the interval-valued proportional fuzzy set extensions will be developed. In this paper, their arithmetic operations and aggregation operators are defined and a decision making application is presented.

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PB - Springer Science and Business Media Deutschland GmbH

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Kahraman C, Onar SC, Oztaysi B, Cebi S. Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators. In Kahraman C, Oztaysi B, Cebi S, Cevik Onar S, Tolga C, Ucal Sari I, Otay I, editors, 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. 341-346. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-031-97985-9_38

Interval-Valued Proportional Intuitionistic Fuzzy Sets and Their Aggregation Operators

Abstract

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Bibliographical note

Keywords

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