Proportional Spherical Fuzzy AHP & COPRAS: Evaluation of Intelligent Strategies for Smart Cities

Irem Otay; Cengiz Kahraman

doi:10.1007/978-3-031-97985-9_42

Proportional Spherical Fuzzy AHP & COPRAS: Evaluation of Intelligent Strategies for Smart Cities

Irem Otay^*
, Cengiz Kahraman

^*Corresponding author for this work

Department of Industrial Engineering

Istanbul Bilgi University

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

1 Citation (Scopus)

Abstract

Evaluation of smart cities involves many intangible criteria that are difficult to handle with classical sets. Inclusion of these intangible criteria in the numerical decision making models can be managed successfully through fuzzy set theory. In this study, an integrated Multi Criteria Decision Making (MCDM) methodology is proposed using proportional spherical fuzzy sets to prioritize smart city strategies. This methodology consists of fuzzy Analytic Hierarchy Process (AHP) to obtain weights and fuzzy COmplex PRoportional ASsessment (COPRAS) methods to evaluate alternative intelligence-based smart city strategies. The proposed methodology takes advantage of utilizing COPRAS method which defines a solution considering the ratio to the ideal solution and the ratio with the ideal-worst solution. The proposed fuzzy methodology is successfully applied to the considered problem.

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	378-387
Number of pages	10
ISBN (Print)	9783031979842
DOIs	https://doi.org/10.1007/978-3-031-97985-9_42
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.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 11 Sustainable Cities and Communities

Keywords

Intelligent Strategies
Proportional spherical fuzzy sets
Smart Cities
fuzzy AHP
fuzzy COPRAS

Access to Document

10.1007/978-3-031-97985-9_42

Cite this

Otay, I., & Kahraman, C. (2025). Proportional Spherical Fuzzy AHP & COPRAS: Evaluation of Intelligent Strategies for Smart Cities. 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. 378-387). (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_42

Otay, Irem ; Kahraman, Cengiz. / Proportional Spherical Fuzzy AHP & COPRAS : Evaluation of Intelligent Strategies for Smart Cities. 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. 378-387 (Lecture Notes in Networks and Systems).

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abstract = "Evaluation of smart cities involves many intangible criteria that are difficult to handle with classical sets. Inclusion of these intangible criteria in the numerical decision making models can be managed successfully through fuzzy set theory. In this study, an integrated Multi Criteria Decision Making (MCDM) methodology is proposed using proportional spherical fuzzy sets to prioritize smart city strategies. This methodology consists of fuzzy Analytic Hierarchy Process (AHP) to obtain weights and fuzzy COmplex PRoportional ASsessment (COPRAS) methods to evaluate alternative intelligence-based smart city strategies. The proposed methodology takes advantage of utilizing COPRAS method which defines a solution considering the ratio to the ideal solution and the ratio with the ideal-worst solution. The proposed fuzzy methodology is successfully applied to the considered problem.",

keywords = "Intelligent Strategies, Proportional spherical fuzzy sets, Smart Cities, fuzzy AHP, fuzzy COPRAS",

author = "Irem Otay 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",

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Otay, I & Kahraman, C 2025, Proportional Spherical Fuzzy AHP & COPRAS: Evaluation of Intelligent Strategies for Smart Cities. 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. 378-387, 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_42

Proportional Spherical Fuzzy AHP & COPRAS: Evaluation of Intelligent Strategies for Smart Cities. / Otay, Irem; 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. 378-387 (Lecture Notes in Networks and Systems; Vol. 1528 LNNS).

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

TY - GEN

T1 - Proportional Spherical Fuzzy AHP & COPRAS

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

AU - Otay, Irem

AU - Kahraman, Cengiz

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

PY - 2025

Y1 - 2025

N2 - Evaluation of smart cities involves many intangible criteria that are difficult to handle with classical sets. Inclusion of these intangible criteria in the numerical decision making models can be managed successfully through fuzzy set theory. In this study, an integrated Multi Criteria Decision Making (MCDM) methodology is proposed using proportional spherical fuzzy sets to prioritize smart city strategies. This methodology consists of fuzzy Analytic Hierarchy Process (AHP) to obtain weights and fuzzy COmplex PRoportional ASsessment (COPRAS) methods to evaluate alternative intelligence-based smart city strategies. The proposed methodology takes advantage of utilizing COPRAS method which defines a solution considering the ratio to the ideal solution and the ratio with the ideal-worst solution. The proposed fuzzy methodology is successfully applied to the considered problem.

AB - Evaluation of smart cities involves many intangible criteria that are difficult to handle with classical sets. Inclusion of these intangible criteria in the numerical decision making models can be managed successfully through fuzzy set theory. In this study, an integrated Multi Criteria Decision Making (MCDM) methodology is proposed using proportional spherical fuzzy sets to prioritize smart city strategies. This methodology consists of fuzzy Analytic Hierarchy Process (AHP) to obtain weights and fuzzy COmplex PRoportional ASsessment (COPRAS) methods to evaluate alternative intelligence-based smart city strategies. The proposed methodology takes advantage of utilizing COPRAS method which defines a solution considering the ratio to the ideal solution and the ratio with the ideal-worst solution. The proposed fuzzy methodology is successfully applied to the considered problem.

KW - Intelligent Strategies

KW - Proportional spherical fuzzy sets

KW - Smart Cities

KW - fuzzy AHP

KW - fuzzy COPRAS

UR - https://www.scopus.com/pages/publications/105012921924

U2 - 10.1007/978-3-031-97985-9_42

DO - 10.1007/978-3-031-97985-9_42

M3 - Conference contribution

AN - SCOPUS:105012921924

SN - 9783031979842

T3 - Lecture Notes in Networks and Systems

SP - 378

EP - 387

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

Y2 - 29 July 2025 through 31 July 2025

ER -

Otay I, Kahraman C. Proportional Spherical Fuzzy AHP & COPRAS: Evaluation of Intelligent Strategies for Smart Cities. 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. 378-387. (Lecture Notes in Networks and Systems). doi: 10.1007/978-3-031-97985-9_42

Proportional Spherical Fuzzy AHP & COPRAS: Evaluation of Intelligent Strategies for Smart Cities

Abstract

Publication series

Conference

Bibliographical note

UN SDGs

Keywords

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