A novel picture fuzzy Aczel-Alsina geometric aggregation information: Application to determining the factors affecting mango crops

Abstract

<abstract><p>Picture fuzzy (PF) sets are extremely reasonable to represent the uncertain, imprecise, and inconsistent information that exists in scientific and engineering fields. To meet decision makers' preference selection, the operational flexibility of aggregation operators shows its importance in dealing with the flexible decision-making problems in the PF environment. With assistance from Aczel-Alsina operations, we introduce the aggregation strategies of PFNs. We initially broaden the Aczel-Alsina norms to PF situations and present a few new operations of PFNs in view of which we build up a few new PF aggregation operators, for instance, the PF Aczel-Alsina weighted geometric, order weighted geometric, and hybrid weighted geometric operators. Furthermore, a decision support approach has been developed using the proposed aggregation operators under the PF environment. In this method, the aggregated results of each evaluated alternative are determined, and their score values are obtained. Then, all alternatives were ranked in decreasing order, and the best one was determined based on the highest score value. An illustrative example related to mango production is presented to investigate the most influential factor that resulted in mango production minimization. Finally, a comparison study was conducted on the proposed decision support method and the existing relative techniques. The result shows that the proposed method can overcome the insufficiency of lacking decision flexibility in the existing MAGDM method by the PF weighted geometric aggregation operators.</p></abstract>

Decision algorithm for picture fuzzy sets and Aczel Alsina aggregation operators based on unknown degree of wights

“…[ 54 ] Suppose and are three PFVs. Then, some operational laws of Aczel Alsina aggregation tools are given by: .…”

“…Hussain et al [ 53 ] combined two different theories, Hamy mean aggregation models and Aczel Alsina aggregation tools under a system of intuitionistic fuzzy information. Naeem et al [ 54 ] presented some major characteristics of Aczel Alsina aggregation tools to illustrate a list of new approaches based on PFSs. Moreover, adopting fuzzy logic in evaluating complex problems has been conducted in several research areas [ [55] , [56] , [57] ].…”

Evaluation of Electric Motor Cars Based Frank Power Aggregation Operators Under Picture Fuzzy Information and a Multi-Attribute Group Decision-Making Process

“…Seikh and Mandal [57] proposed some AOs based on Frank aggregation tools in the form of PF Frank weighted average (PFFWA) and PF Frank weighted geometric (PFFWG), AOs of PF Einstein weighted average (PFEWA) and PF Einstein weighted geometric (PFEWG) given by the Khan et al [60]. Wei [35] introduced some AOs of PF Hamacher weighted average (PFHWA) and PF Hamacher weighted geometric (PFHWG) operators, Senapati [61] proposed PF Aczel Alsina weighted average (PFAAWA), Naeem et al [62]also illustrate some new approaches of PF Aczel Alsina weighted geometric (PFAAWG) and Hussain et al [20]gave AOs of Complex PFSs under Hamy mean aggregation models. After applying all the above-discussed existing approaches under the consideration of the proposed algorithm, we stated all obtained results in Table 10.…”

Evaluating the Quality of Medical Services Using Intuitionistic Hesitant Fuzzy Aczel–Alsina Aggregation Information

“…We can infer from the investigation abovemenioned that the AOs used in MADM are complicated by actual phenomena. Naeem et al [43] presented the decision methodology based on the picture fuzzy Aczel-Alsina geometric aggregation operators to tackle the uncertainty in decision making problems.…”