Multicriteria Group Decision Making Based on TODIM and PROMETHEE II Approaches with Integrating Quantum Decision Theory and Linguistic Z Number in Renewable Energy Selection

Prasenjit Mandal, Leo Mrsic, Antonios Kalampakas, Tofigh Allahviranloo and Sovan Samanta ()
Additional contact information
Prasenjit Mandal: Department of Technical Sciences, Algebra University, Gradiscanska 24, 10000 Zagreb, Croatia
Leo Mrsic: Department of Technical Sciences, Algebra University, Gradiscanska 24, 10000 Zagreb, Croatia
Antonios Kalampakas: College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait
Tofigh Allahviranloo: Research Center of Performance and Productivity Analysis, Istinye University, Istanbul 34010, Turkey
Sovan Samanta: Department of Technical Sciences, Algebra University, Gradiscanska 24, 10000 Zagreb, Croatia

Mathematics, 2024, vol. 12, issue 23, 1-27

Abstract: Decision makers (DMs) are often viewed as autonomous in the majority of multicriteria group decision making (MCGDM) situations, and their psychological behaviors are seldom taken into account. Once more, we are unable to prevent both positive and negative flows of varying alternative preferences due to the nature of attributes or criteria in complicated decision-making problems. However, DMs’ perspectives are likely to affect one another in complicated MCGDM issues, and they frequently use subjective limited rationality while making decisions. The multicriteria quantum decision theory-based group decision making integrating the TODIM-PROMETHEE II strategy under linguistic Z-numbers (LZNs) is designed to overcome the aforementioned problems. In our established technique, the PROMETHEE II controls the positive and negative flows of distinct alternative preferences, the TODIM method manages the experts’ personal regrets over a criterion, and the quantum probability theory (QPT) addresses human cognition and behavior. Because LZNs can convey linguistic judgment and trustworthiness, we provide expert LZNs for their viewpoints in this work. We determine the criterion weights for each expert after first obtaining their respective expert weights. Second, to represent the limited rational behaviors of the DMs, the TODIM-PROMETHEE II approach is introduced. It is employed to determine each alternative’s dominance in both positive and negative flows. Third, a framework for quantum possibilistic aggregation is developed to investigate the effects of interference between the views of DMs. The views of DMs are seen in this procedure as synchronously occurring wave functions that affect the overall outcome by interfering with one another. The model’s efficacy is then assessed by a selection of renewable energy case studies, sensitive analysis, comparative analysis, and debate.

Keywords: quantum decision theory; group decision making; linguistic Z number; TODIM-PROMETHEE II (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/23/3790/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/23/3790/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:23:p:3790-:d:1533787

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().