Intuitionistic fuzzy hybrid arithmetic and geometric aggregation operators for the decision-making of mechanical design schemes

• Published in: Applied intelligence (Dordrecht, Netherlands) Vol. 47; no. 3; pp. 743 - 751
• Main Author: Ye, Jun
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-10-2017; Springer Nature B.V
• Subjects: Agglomeration; Arithmetic; Artificial Intelligence; Computer Science; Data integration; Decision making; Fuzzy logic; Fuzzy sets; Housing developments; Machines; Manufacturing; Mechanical Engineering; Multisensor fusion; Operators; Processes; Product design; Intuitionistic fuzzy set; Mechanical design scheme; Intuitionistic fuzzy hybrid ordered weighted arithmetic and geometric aggregation (IFHOWAGA) operator; Decision making; Intuitionistic fuzzy hybrid weighted arithmetic and geometric aggregation (IFHWAGA) operator
• ISSN: 0924-669X; 1573-7497
• DOI: 10.1007/s10489-017-0930-3

Arithmetic aggregation operators and geometric aggregation operators of intuitionistic fuzzy values (IFVs) are common aggregation operators in the fields of information fusion and decision making. However, their aggregated values imply some unreasonable results in some cases. To overcome the shortcomings, this paper proposes an intuitionistic fuzzy hybrid weighted arithmetic and geometric aggregation (IFHWAGA) operator and an intuitionistic fuzzy hybrid ordered weighted arithmetic and geometric aggregation (IFHOWAGA) operator and discusses their suitability by numerical examples. Then, we propose a multiple attribute decision-making method of mechanical design schemes based on the IFHWAGA or IFHOWAGA operator under an intuitionistic fuzzy environment. Finally, a decision-making problem regarding the mechanical design schemes of press machine is provided as a case to show the application of the proposed method.