Abstract
For the aggregation problem of attributes with a correlation relationship, it is often necessary to take the correlation factor into account in order to make the decision results more objective and reasonable. The Heronian mean is an aggregation operator which reflects the interaction between attributes. It is of great theoretical and practical significance to study and popularize the multiple attribute decision-making methods based on the Heronian mean operator. In this paper, we first give a new three-parameter generalized weighted Heronian mean (TPGWHM), which has a series of excellent properties such as idempotency, monotonicity and boundedness. At the same time, the relationship between the TPGWHM and the existing aggregation operators is given. Then, we propose the intuitionistic fuzzy three-parameter generalized weighted Heronian mean (IFTPGWHM) and give its idempotency, monotonicity, boundedness and limit properties. On this basis, a multiple attribute decision-making method based on the TPGWHM and a multiple attribute decision-making method based on the IFTPGWHM are given, and corresponding examples are given and analyzed.
Highlights
GerogiannisPublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
Mathematics 2021, 9, 1363 decision-making method based on the intuitionistic fuzzy three-parameter generalized weighted Heronian mean (IFTPGWHM) is given, and an example is analyzed and compared with the existing multiple attribute decision-making methods
The new three-parameter generalized weighted Heronian mean multiple attribute decision-making method is analyzed by an example, which is compared with the existing multiple attribute decisionmaking methods
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. In order to adapt to the new situation and aggregate decision-making information from multiple perspectives, an effective aggregation operator is needed which can meet the different needs of decision-makers at the same time On this basis, a new three-parameter generalized weighted Heronian mean (TPGWHM) is given which has the advantages of both a generalized mean and a Heronian mean operator. The new aggregation operator is extended to the intuitionistic fuzzy environment, and the intuitionistic fuzzy three-parameter generalized weighted Heronian mean (IFTPGWHM) is given On this basis, multiple attribute decision-making methods based on these operators are presented, and examples are given to illustrate the rationality and effectiveness of the methods. Mathematics 2021, 9, 1363 decision-making method based on the intuitionistic fuzzy three-parameter generalized weighted Heronian mean (IFTPGWHM) is given, and an example is analyzed and compared with the existing multiple attribute decision-making methods.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
