Dual Hesitant Pythagorean Fuzzy Heronian Mean Operators in Multiple Attribute Decision Making

Abstract

On account of the indeterminacy and subjectivity of decision makers (DMs) in complexity decision-making environments, the evaluation information over alternatives presented by DMs is usually fuzzy and ambiguous. As the generalization of intuitionistic fuzzy sets (IFSs), the Pythagorean fuzzy set (PFS) is more useful in expressing fuzzy and ambiguous information. Meanwhile, in order to consider human hesitance, dual hesitant Pythagorean fuzzy sets (DHPFSs) are presented, which can be more valid for handling real multiple attribute decision-making (MADM) problems. To fuse the information in DHPFSs more effectively, in this article, some dual hesitant Pythagorean fuzzy Heronian mean operators, which can consider the relationships between arguments being fused, are defined and studied. Evidently, the new proposed operators can obtain more exact results than other existing methods. In addition, some important properties of these Heronian mean (HM) operators are discussed. Subsequently, the defined aggregation operators are used in MADM with dual hesitant Pythagorean fuzzy numbers (DHPFNs), and the MADM model is developed. In accordance with the defined operators and the built model, the dual hesitant Pythagorean fuzzy generalized weighted Heronian mean (DHPFGWHM) operator and dual hesitant Pythagorean fuzzy generalized geometric weighted Heronian mean (DHPFGGWHM) operator are applied to deal with the green supplier selection in supply chain management, and the availability and superiority of the proposed operators are analyzed by comparing them with some existing approaches. The method presented in this paper can effectively solve the MADM problems in which the decision-making information is expressed by DHPFNs and the attributes are interactive.

GRA Method for Probabilistic Linguistic Multiple Attribute Group Decision Making with Incomplete Weight Information and Its Application to Waste Incineration Plants Location Problem

“…Finally, a practical case study concerning waste incineration plants location problem is designed to validate the proposed algorithms and some comparative studies are also designed to verify the applicability. In our future research, the proposed methods and algorithm will be needful and meaningful for other real decision making problems [52][53][54][55][56][57][58][59][60] and the developed approaches can also be extended to other fuzzy [48,61,62] and uncertain information [63][64][65][66][67][68][69][70][71][72][73].…”

Some q ‐rung orthopair fuzzy Hamy mean operators in multiple attribute decision‐making and their application to enterprise resource planning systems selection

“…The ERP selection and effective decision method is a classical MADM problem. [53][54][55][56][57][58][59] In this section, we utilize a practical MADM problem to illustrate the application of the developed approaches. Suppose an organization plans to implement ERP system (adapted from Wei and colleagues 22,[60][61][62] ).…”

Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project

“…the limitation of our approach is that the calculation formula is too complicated, thus, in future we will continue to study MADM problems and propose some simplified operators to other decision-making fields [69][70][71][72][73][74]. Furthermore, the application of the proposed methods in addressing practical MADM problems in other manufacturing environment, such as selection of an automated inspection system, selection of an industrial robot, selection of an additive manufacturing process and selection of a machine tool and will also be studied in our future work.…”