This paper addresses the risk quantification and assessment problem decision makers in industry, specifically engineering industry, are facing.
Given a set of options constituting a decision problem, decision theory recommends an option that maximizes utility, that is, an option whose utility equals or exceeds the utility of every other option.
As a bridge between different areas of optimization, the theory of set-valued optimization problems has wide applications in differential inclusion, variational inequality, optimal control, game theory, economic equilibrium problem, decision making, etc.
Likewise, if ( {x}_{ijz}^k ) = 1 and j ∈ E, cargo r ∈ Q is loaded on board ship k, where j is its loading port, or discharged from the ship if j is its discharging port, y i be another problem decision variable, alternative to ( {x}_{ijz}^k ).
Each individual Χ i is a vector that contains as many parameters as the problem decision variables D. Random values are assigned to each decision parameter in every vector according to: {mathrm{X}}_{ij}^0sim Uleft({mathrm{X}}_j^{min },{mathrm{X}}_j^{max}right) (20).
It implies that in order to make a complete and timely PM planning which considers many aspects of the problem, decision makers have to study the problem completely and consider the factors which affect a PM planning for replacement of item because ignoring the influential factors in different situations can lead to disastrous results.
Unstructured and multi-objective task arrangement in radiation field is a complicating problem decision-makers are most concerned about.
Note that most of the variational problems include minimization or maximization of functions, variational inequality problems, quasivariational inequality problems, decision and management sciences, and engineering sciences problems.
In conventional optimization problems decision maker (DM) assumes that the parameters or goals of the problem are precisely known in advance.
I learned about analysing problems, decision-making, how to construct and present information, and improved my numeracy and literacy in IT.
Uncertainty is one of the main problems decision-makers have to deal with when assessing, managing and communicating risks of environmental effects on human health [ 8].
