Mathematics and Statistics Vol. 10(1), pp. 153 - 159
DOI: 10.13189/ms.2022.100113
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An Approach to Solve Multi Attribute Decision-making Problem Based on the New Possibility Measure of Picture Fuzzy Numbers

K. Deva , S. Mohanaselvi ^*
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, India

ABSTRACT

A picture fuzzy set is a more powerful tool to deal with uncertainties in the given information as compared to fuzzy set and intuitionistic fuzzy set and has energetic applications in decision-making. The aim of this study is to develop a new possibility measure for ranking picture fuzzy numbers and then some of its basic properties are proved. The proposed method provides the same ranking order as the score function in the literature. Moreover, the new possibility measure can provide additional information for the relative comparison of the picture fuzzy numbers. A picture fuzzy multi attribute decision-making problem is solved based on the possibility matrix generated by the proposed method after being aggregated using picture fuzzy Einstein weighted averaging aggregation operator. To verify the importance of the proposed method, an picture fuzzy multi attribute decision-making strategy is presented along with an application for selecting suitable alternative. The superiority of the proposed method and limitations of the existing methods are discussed with the help of a comparative study. Finally, a numerical example and comparative analysis are provided to illustrate the practicality and feasibility of the proposed method.

KEYWORDS
Picture Fuzzy Number, Aggregation Operator, New Possibility Measure, Multi Attribute Decision-making

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] K. Deva , S. Mohanaselvi , "An Approach to Solve Multi Attribute Decision-making Problem Based on the New Possibility Measure of Picture Fuzzy Numbers," Mathematics and Statistics, Vol. 10, No. 1, pp. 153 - 159, 2022. DOI: 10.13189/ms.2022.100113.

(b). APA Format:
K. Deva , S. Mohanaselvi (2022). An Approach to Solve Multi Attribute Decision-making Problem Based on the New Possibility Measure of Picture Fuzzy Numbers. Mathematics and Statistics, 10(1), 153 - 159. DOI: 10.13189/ms.2022.100113.