PMID- 35571604 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20221101 IS - 2198-6053 (Electronic) IS - 2199-4536 (Print) IS - 2199-4536 (Linking) VI - 8 IP - 6 DP - 2022 TI - Fermatean fuzzy copula aggregation operators and similarity measures-based complex proportional assessment approach for renewable energy source selection. PG - 5223-5248 LID - 10.1007/s40747-022-00743-4 [doi] AB - Selecting the optimal renewable energy source (RES) is a complex multi-criteria decision-making (MCDM) problem due to the association of diverse conflicting criteria with uncertain information. The utilization of Fermatean fuzzy numbers is successfully treated with the qualitative data and uncertain information that often occur in realistic MCDM problems. In this paper, an extended complex proportional assessment (COPRAS) approach is developed to treat the decision-making problems in a Fermatean fuzzy set (FFS) context. First, to aggregate the Fermatean fuzzy information, a new Fermatean fuzzy Archimedean copula-based Maclaurin symmetric mean operator is introduced with its desirable characteristics. This proposed operator not only considers the interrelationships between multiple numbers of criteria, but also associates more than one marginal distribution, thus avoiding information loss in the process of aggregation. Second, new similarity measures are developed to quantify the degree of similarity between Fermatean fuzzy perspectives more effectively and are further utilized to compute the weights of the criteria. Third, an integrated Fermatean fuzzy-COPRAS approach using the Archimedean copula-based Maclaurin symmetric mean operator and similarity measure has been developed to assess and rank the alternatives under the FFS perspective. Furthermore, a case study of RES selection is presented to validate the feasibility and practicality of the developed model. Comparative and sensitivity analyses are used to check the reliability and strength of the proposed method. CI - (c) The Author(s) 2022. FAU - Mishra, Arunodaya Raj AU - Mishra AR AUID- ORCID: 0000-0001-9949-5813 AD - Department of Mathematics, Government College Raigaon, Satna, MP India. FAU - Rani, Pratibha AU - Rani P AD - Department of Mathematics, Rajiv Gandhi National Institute of Youth Development, Sriperumbudur, TN India. FAU - Saha, Abhijit AU - Saha A AD - Department of Mathematics, Techno College of Engineering Agartala, Maheshkhola, Tripura 799004 India. FAU - Senapati, Tapan AU - Senapati T AD - Department of Mathematics, Padima Janakalyan Banipith, Kukrakhupi, Jhargram, 721517 India. FAU - Hezam, Ibrahim M AU - Hezam IM AD - Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh, Saudi Arabia. GRID: grid.56302.32. ISNI: 0000 0004 1773 5396 FAU - Yager, Ronald R AU - Yager RR AD - Machine Intelligence Institute, Iona College, New Rochelle, NY 10801 USA. GRID: grid.419406.e. ISNI: 0000 0001 0087 8225 LA - eng PT - Journal Article DEP - 20220510 PL - Germany TA - Complex Intell Systems JT - Complex & intelligent systems JID - 9918284259706676 PMC - PMC9086431 OTO - NOTNLM OT - Archimedean copula OT - COPRAS OT - Fermatean fuzzy set OT - Maclaurin mean operator OT - Renewable energy OT - Similarity measure COIS- Conflict of interestAll authors declare that they have no conflict of interest. EDAT- 2022/05/17 06:00 MHDA- 2022/05/17 06:01 PMCR- 2022/05/10 CRDT- 2022/05/16 04:02 PHST- 2021/09/05 00:00 [received] PHST- 2022/03/30 00:00 [accepted] PHST- 2022/05/17 06:00 [pubmed] PHST- 2022/05/17 06:01 [medline] PHST- 2022/05/16 04:02 [entrez] PHST- 2022/05/10 00:00 [pmc-release] AID - 743 [pii] AID - 10.1007/s40747-022-00743-4 [doi] PST - ppublish SO - Complex Intell Systems. 2022;8(6):5223-5248. doi: 10.1007/s40747-022-00743-4. Epub 2022 May 10.