Summary: | In decision making, linguistic variables tend to be complex to handle but they make more sense than classical
fuzzy numbers. Fuzziness is not sufficient enough to deal with information and degree of reliability of
information is critical. Z-numbers is proposed to model the uncertainty produced by human judgment when
eliciting information. Therefore, the implementation of z-numbers is taken into consideration, where it has more
authority to describe the knowledge of human being and extensively used in the uncertain information
development. This issue has motivated the authors to propose fuzzy multi criteria decision making methodology
using z-numbers. The proposed methodology is demonstrated the capability to handle knowledge of human
being and uncertain information for risk assessment in oil and gas industry. This assessment is due to periodic
basis, which will give insights from the operational until the strategic level of decision making process that is
capable of dealing with uncertainty in human judgment. The consistent fuzzy preference relations is developed
to calculate the preference-weights of the criteria related based on the derived network structure and to resolve
conflicts arising from differences in information and opinions provided by the decision makers. The proposed
methodology is constructed without losing the generality of the consistent fuzzy preference relations under fuzzy
environment.
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