Abstract
Multi-criteria decision-making (MCDM) plays a vibrant role in decision-making, and the characteristic object method (COMET) acts as a powerful tool for decision-making of complex problems. COMET technique allows using both symmetrical and asymmetrical triangular fuzzy numbers. The COMET technique is immune to the pivotal challenge of rank reversal paradox and is proficient at handling vagueness and hesitancy. Classical COMET is not designed for handling uncertainty data when the expert has a problem with the identification of the membership function. In this paper, symmetrical and asymmetrical normalized interval-valued triangular fuzzy numbers (NIVTFNs) are used for decision-making as the solution of the identified challenge. A new MCDM method based on the COMET method is developed by using the concept of NIVTFNs. A simple problem of MCDM in the form of an illustrative example is given to demonstrate the calculation procedure and accuracy of the proposed approach. Furthermore, we compare the solution of the proposed method, as interval preference, with the results obtained in the Technique for Order of Preference by Similarity to Ideal solution (TOPSIS) method (a certain preference number).
Highlights
Decision-making is the most critical and fundamental tool in which decision-makers use to compare and rank different objects and alternatives based on a few particular criteria to make the best possible decision
We propose a new approach that combines the advantages of NIVFNs and the characteristic object method (COMET) method
The uncertainty and diversity of assessment information provided by the DMs can be well reflected and modeled using normalized interval-valued triangular fuzzy numbers (NIVTFNs)
Summary
Decision-making is the most critical and fundamental tool in which decision-makers use to compare and rank different objects and alternatives based on a few particular criteria to make the best possible decision. Our daily life is full of different experiences and exposures, which lead us to numerous problems and situations where we need to follow the basics principles of operational research. Is the important field of mathematics, which provides a platform for multi-criteria decision-making (MCDM) to make decisions of such problems of daily life in complex situations. This theory was introduced by Zadeh [1] in 1965, which opened new corridors for decision-making.
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