@article{Ali2024, 
author = {Ghous Ali and Kholood Alsager},
title = {Novel Heronian mean based  m-polar fuzzy power geometric aggregation operators and their application to urban transportation management},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {34109-34146},
keywords = {m-polar fuzzy sets, power geometric operators, Heronian mean, urban transportation, sensitivity analysis, multi-criteria decision-making},
url = {https://www.sciopen.com/article/10.3934/math.20241626},
doi = {10.3934/math.20241626},
abstract = {An  m-polar fuzzy ( mF) model offers a practical framework for decision-making by providing higher flexibility in handling uncertainties and preferences. The ability of  mF sets to tackle multiple reference points permits for a more nuanced analysis, leading to more accurate results in complex decision scenarios. This study was mainly devoted to introducing three novel aggregation operators (AGOs) for multi-criteria decision-making (MCDM) based on generalized geometric Heronian mean (GGHM) operations comprise the concept of  mF sets. The presented operators consisted of the weighted  mF power GGHM (W mFPGGHM), ordered weighted  mF power GGHM averaging (OW mFPGGHM), and hybrid  mF power GGHM (H mFPGGHM) operators. Some essential fundamental properties of the proposed AGOs were investigated: idempotency, monotonicity, boundedness, and Abelian property. Furthermore, an algorithm based on the initiated W mFPGGHM operators was developed to address diverse daily-life MCDM scenarios. Next, to validate the efficiency of the established algorithm, it was implemented in a daily-life MCDM problem involving urban transportation management. At last, a sensitivity analysis of the initiated AGOs was provided with existing  mF set-based operators involving Dombi, Yager, and Aczel-Alsina's operations-based AGOs.}
}