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

Abstract

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.

Citation

Qiyas, M., Khan, M.A., Khan, S. and Abdullah, S. (2020), "Concept of Yager operators with the picture fuzzy set environment and its application to emergency program selection", International Journal of Intelligent Computing and Cybernetics, Vol. 13 No. 4, pp. 455-483. https://doi.org/10.1108/IJICC-06-2020-0064