An application of intuitionistic fuzzy analytic hierarchy process in ship system risk estimation

In this paper, we extend the analytic hierarchy process (AHP) method and the Atanassov’s intuitionistic fuzzy set (IFS) into the intuitionistic fuzzy analytic hierarchy process (IFAHP) with application in ship system risk estimation. In the safety engineering, risk estimation is in practice confronted with difficulties connected with shortage of data. In such cases, we have to rely on subjective estimations made by persons with practical knowledge in the field of interest, i.e. experts. However, in some realistic situations, the decision makers might be reluctant or unable to assign the crisp evaluation values to the comparison judgments due to his/her limited knowledge. In other words, there is a certain degree of hesitancy in human cognition and his judgment. Taking advantages of IFSs in dealing with ambiguity and uncertainty into account, the IFAHP can be used to handle with the subjective preferences of experts, who may have insufficient knowledge of the problem domain or uncertainty in assigning the evaluation values to the objects considered. This paper also develops a new knowledge-based ranking method to derive the priority vector of the hierarchy. An illustrative example of the propulsion risk estimation of container carriers operating on the North Atlantic line is given to show the applicability and effectiveness of the proposed method.

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Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.