Concept of Yager operators with the picture fuzzy set environment and its application to emergency program selection

Purpose-The aim of this study as to find out an approach for emergency program selection.Design/methodology/approach-The authors have generated six aggregation operators(AOs),namely picture fuzzy Yager weighted average(PFYWA),picture fuzzy Yager ordered weighted average,picture fuzzy Yager hybrid weighted average,picture fuzzy Yager weighted geometric(PFYWG),picture fuzzy Yager ordered weighted geometric and picture fuzzy Yager hybrid weighted geometric aggregations operators.Findings-First of all,the authors defined the score and accuracy function for picture fuzzy set(FS),and some fundamental operational laws for picture FS using the Yager aggregation operation.After that,using the developed operational laws,developed some AOs,namely PFYWA,picture fuzzy Yager ordered weighted average,picture fuzzy Yager hybrid weighted average,PFYWG,picture fuzzy Yager ordered weighted geometric and picture fuzzy Yager hybrid weighted geometric aggregations operators,have been proposed along with their desirable properties.A decision-making(DM)approach based on these operators has also been presented.An illustrative example has been given for demonstrating the approach.Finally,discussed the comparison of the proposed method with the other existing methods and write the conclusion of the article.Originality/value-To find the best alternative for emergency program selection.

Spherical uncertain linguistic Hamacher aggregation operators and their application on achieving consistent opinion fusion in group decision making

Purpose-The aim of this research is to establish a new type of aggregation operator based on Hamacher operational law of spherical uncertain linguistic numbers(SULNs).Design/methodology/approach-First,the authors define spherical uncertain linguistic sets and develop some operational laws of SULNs.Furthermore,the authors extended these operational laws to the aggregation operator and developed spherical uncertain linguistic Hamacher averaging and geometric aggregation operators.Findings-The authors were limited in achieving a consistent opinion on the fusion in group decision-making problem with the SULN information.Originality/value-In order to give an application of the introduced operators,the authors first constrict a system of multi-attribute decision-making algorithm.