A novel multi-criteria group decision-making method based on Aczel–Alsina spherical fuzzy aggregation operators: Application to evaluation of solar energy cells

Abstract

Keeping in view the significance of spherical fuzzy set (SFS), this research focuses on innovative multi-criteria group decision-making (MCGDM) technique for coping with spherical fuzzy scenarios. To serve this purpose, we explore Aczel–Alsina spherical fuzzy operational laws and their desirable characteristics. Based on these new operational laws, we expound various aggregation operators, namely Aszel-Alsina spherical fuzzy weighted averaging (AASFWA) operator, Aczel–Alsina spherical fuzzy ordered weighted averaging (AASFOWA) operator, Aczel–Alsina spherical fuzzy hybrid averaging (AASFHA) operator, Aczel-Alsina spherical fuzzy weighted geometric (AASFWG) operator, Aczel–Alsina spherical fuzzy ordered weighted geometric (AAS-FOWG) operator, and Aczel–Alsina spherical fuzzy hybrid geometric (AASFHG) operator. Besides, some fundamental results of the newly devised aggregation operators are outlined and verified. In reliance on the propound operators, a step-wise MCGDM method is endowed, and then a case study is given to illustrate the practicality of the presented approach. Additionally, detailed parameter analysis and a systematic comparative study are carried out to verify the stability and validity of the explored works.

Decision algorithm for educational institute selection with spherical fuzzy heronian mean operators and Aczel-Alsina triangular norm

“…We applied existing aggregation approaches seen in Refs. [ 57 , [62] , [63] , [64] ]. Ashraf et al [ 62 ] gave an innovative approach by generalizing the theory of Dombi aggregation tools and resolving real-life situations.…”

“…Zhang et al [ 57 ] proposed some new strategies based on Hamacher aggregation tools to show the correctness and viability of the decision-making problem. Naeem and Ali [ 64 ] utilized some necessary operations of the Aczel Alsina aggregation tools and developed some new strategies, including SF Aczel Alsina weighted average (SFAAWA) and SF Aczel Alsina weighted geometric (SFAAWG) operators. Results obtained by the existing approaches are listed in Table 7 .…”

Complex q-Rung Orthopair Fuzzy Aczel–Alsina Aggregation Operators and Its Application to Multiple Criteria Decision-Making With Unknown Weight Information

“…Recently, Hussain et al [47] defined the fundamental T-spherical fuzzy aggregation operators in terms of Aczel-Alsina operations. Simultaneously, Naeem and Ali [48] investigated spherical fuzzy Aczel-Alsina aggregation operators and their application to solar energy cells. To our knowledge, no research has been discovered that combines the concepts of Aczel-Alsina t-norm and t-conorm under the background of Cq-ROFS.…”

Multi-Criteria Decision-Making Method Based on Complex t-Spherical Fuzzy Aczel–Alsina Aggregation Operators and Their Application

“…In the field of decision-making frameworks, Senapati et al [46,47] put forward AA aggregation operators for a framework of IFSs and interval-valued IFSs (IVIFSs), and then applied them to address MCDM issues, while Senapati [48] examined AA aggregation operators based on PFS with application to MCDM. In [49], the authors discussed picture fuzzy AA geometric aggregation information and used it to identify the factors influencing mango crops. A study by Ali and Naeem [50] provided certain AA complex q-rung orthopair fuzzy aggregation operators and put forward a novel entropy approach to overcome the defects of the existing entropy measures.…”

“…Hussain et al [51] diagnosed the fundamental t-spherical fuzzy aggregation operators in terms of AA operations. Simultaneously, Naeem and Ali [49] explored spherical fuzzy AA aggregation operators and their implications for solar energy cells. Recently, Mahmood et al [52] studied the theory of bipolar complex fuzzy AA aggregation operators and their applications to MCDM problems.…”