Picture fuzzy heronian mean aggregation operators in multiple attribute decision making

Abstract

The Heronian mean and generalized Heronian mean provide two aggregation operators that consider the inter-dependent phenomena among the aggregated arguments. In this paper, the Heronian mean and generalized Heronian mean under picture fuzzy environments is studied. First, the generalized picture fu zzy Heronian mean (GPFHM) operator and generalized picture fuzzy weighted Heronian mean (GPFWHM) operator are proposed and some of their desirable properties and special cases are investigated in detail. Then, an approach to multiple attribute decision making (MADM) based on GPFWHM operator is proposed. Finally, a practical example for enterprise resource planning (ERP) system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.