3.9 Article

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

Publisher

EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/IJICC-06-2020-0064

Keywords

Yager operations; Arithmetic aggregation operators; Geometric aggregation operators; Emergency program selection; Decision-making

Funding

  1. Higher Education Commission (HEC) under National Research Program for University (NRPU), Project title, Fuzzy Mathematical Modelling for Decision Support Systems and Smart Grid Systems [10701/KPK/NRPU/RD/HEC/2017]

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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.

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