Autor: |
Zafar, Fariha, Sarwar, Musavarah, Majeed, Iqra Abdul, Javed, Soha, Chaudary, Nauman Riaz |
Zdroj: |
Journal of Applied Mathematics & Computing; Oct2024, Vol. 70 Issue 5, p4157-4188, 32p |
Abstrakt: |
Most of the real-world decision making problems are based on the bipolar behavior of information evaluations. Bipolar fuzzy numbers as a generalization of fuzzy numbers are an efficient mathematical tool to cope with bipolar vagueness and uncertainty in data that frequently arise in human decision making problems. This research study focuses on the novel decision making techniqye by integrating the notion of trapezoidal bipolar fuzzy numbers with digraph and matrix approach. Firstly, the initial data in converted into trapezoidal bipolar fuzzy numbers to construct the interralation criteria matrices. Secondly, the bipolar fuzzy criterion matrix for each alternative is formed by interchanging the main diagonal entries of the interrelation matrix by the aggregated bipolar fuzzy numbers. Thirdly, the criterion priority index is obtained by defuzzifying the bipolar fuzzy criterion matrix using a score function for the assessment of the ordering of alternatives. The significance of the proposed approach is illustrated by an application example of agricultural farming for the assessment of greenhouse organic and inorganic farming systems. The effectiveness of the obtained results for the given decision-making problem is analyzed by providing a comparative study with the existing techniques. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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