Development and improvement of ranking index in TOPSIS method with pticture fuzzy data

Subject Areas :

Vahide Hojjati NajafAbadi ¹ , reza maddahi ²

1 - Department of Mathematics, Computer Faculty, Najaf Abad Branch, Islamic Azad University, Najaf Abad, Iran
2 - Department of Mathematics, Computer Faculty, Najaf Abad Branch, Islamic Azad University, Najaf Abad, Iran

Received: 2023-12-19 Accepted : 2024-08-15 Published : 2024-12-29

Keywords: TOPSIS, Fuzzy set, Intuitive Fuzzy set, Picture Fuzzy set,

Abstract :

Purpose:  Development and improvement of ranking index in TOPSIS method with picture fuzzy data

Research methodology:  In this papaer, the appropriate method for accessing and presenting information is the library method combined with technical engineering principles, analytical-experimental methods, and software implementation.

Findings:  In this paper, constant value 1/2  was proved for  L_i^- + L_i^+. The advantage of the proposed method is that reducing the MCDM problem from n dimensions to two dimensions makes the ranking easier. In fact, a new similarity index in the range of distance (L_i^- , L_i^+) uses fuzzification.

Originality/scientific added value:   By solving an example with fuzzy numbers that is presented in the definition of visual fuzzy numbers in this paper, the necessary changes are made using Excel software and the distance to the ideal and anti-ideal state is calculated. Finally, a new ranking is determined.

 

 

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