Evaluating Public Bus Shelter Service Quality by Using Complex Neutrosophic Einstein Prioritized Operators

Raiha Imran; Kifayat Ullah; Zeeshan Ali; Tapan Senapati

doi:10.59543/x09q7y53

Authors

Raiha Imran Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS), Riphah International University (Lahore Campus), 54000, Lahore, Pakistan. https://orcid.org/0009-0002-8678-504X Author
Kifayat Ullah Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS), Riphah International University (Lahore Campus), 54000, Lahore, Pakistan; Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India. https://orcid.org/0000-0002-1438-6413 Author
Zeeshan Ali Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan, R.O.C. https://orcid.org/0000-0001-7567-3101 Author
Tapan Senapati Department of Computer Engineering, Faculty of Engineering and Natural Sciences, Istanbul Atlas University, Istanbul 34406, Turkey. https://orcid.org/0000-0003-0399-7486 Author

DOI:

https://doi.org/10.59543/x09q7y53

Keywords:

Complex single-valued neutrosophic set, Einstein prioritized aggregation operator, multi-criteria group decision-making, shelter service quality, Metrobus, Istanbul public transportation

Abstract

A robust decision-making strategy is essential for efficiently collecting and evaluating complex data, yet in real-world urban settings, ambiguity often prevails. To address these challenges, this paper introduces a multi-criteria group decision-making (MCGDM) algorithm specifically designed for the complex single-valued neutrosophic (CSVN) environment. The CSVN framework offers greater consistency and reliability than intuitionistic fuzzy sets (IFS) by handling a triplet of truthiness, indeterminacy, and falsity, which better captures indeterminate and inconsistent human judgments. Recognizing the critical role of aggregation operators in synthesizing diverse criteria into a single evaluative value, we develop novel Einstein Prioritized Aggregation Operators (EPAO) for CSVN elements. Specifically, the complex single-valued neutrosophic Einstein prioritized weighted averaging (CSVNEPWA) and weighted geometric (CSVNEPWG) operators are presented, and their distinctive properties are examined. Leveraging these operators, a comprehensive MCGDM algorithm is constructed to navigate uncertain decision environments. As a real-world illustration, the model is applied to evaluate the quality of the public Metrobus system's shelter services in Istanbul, Turkey. Five distinct shelter alternatives are assessed against five strategic criteria: weather protection, seating comfort, cleanliness and maintenance, information systems, and safety and lighting by a panel of urban mobility experts. The results confirm the model’s capacity to prioritize infrastructure investments under deep ambiguity, offering a transparent, adaptive tool for transit authorities to enhance passenger experience.