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Support of Decision-Making under Risk by a Risk-Averse Decision-Maker

Łodziński Andrzej

Decision Making in Manufacturing and Services

2019

Vol. 13, no. 1-2

73--83

The paper presents a method of supporting decision-making under risk by a risk- -averse decision-maker. Decision-making under risk occurs when the outcome of the system is ambiguous and depends on the state of the environment. The problem is considered as a multi-criteria optimization. The decision support method consists of interactive conduct of the process of decision-making. The decision is made by means of solving a problem with controlling parameters, which determine the aspirations of the decision-maker and evaluating the obtained solutions. The decision-maker sets parameters for which a solution is determined. Subsequently, he or she assesses the obtained solution, accepting or rejecting it. In the latter case, the decision-maker sets new values for the parameters and the problem is solved again. The present paper presents a discrete example of support for decision making under risk.

The Using the Multi-criteria Optimization to Support the Selection of Joint Decision within Comptetitive Environment

Lodzinski A.

Journal of Automation Mobile Robotics and Intelligent Systems

2015

Vol. 9, No. 2

37--41

The paper presents the method of facilitating joint decision making in a competitive environment. We deal with a joint decision when the group of people with different preferences are to make one single decision. The joint decision selection process is modelled with the use of multi-criteria optimization task. It is solved with the use of reference point method. This method is an interactive method in which every person specifies its requirements in the form of a reference point, expressing the desired values for its evaluation function. On the basis of the provided reference point, a scalar achievement function is built. Maximization of this function generates a solution of the multi-criteria task. This solution is presented to every person for acceptance or as a basis for the modification of the reference point. The paper gives an example of applying the proposed decision making while competing by three persons of different preferences.