A Soft Set based Group Decision Making Method with Criteria Weight

Molodstov-s soft sets theory was originally proposed as general mathematical tool for dealing with uncertainty problems. The matrix form has been introduced in soft set and some of its properties have been discussed. However, the formulation of soft matrix in group decision making problem only with equal importance weights of criteria, which does not show the true opinion of decision maker on each criteria. The aim of this paper is to propose a method for solving group decision making problem incorporating the importance of criteria by using soft matrices in a more objective manner. The weight of each criterion is calculated by using the Analytic Hierarchy Process (AHP) method. An example of house selection process is given to illustrate the effectiveness of the proposed method.

Authors:

• Samsiah Abdul Razak
• Daud Mohamad

Keywords:

• Soft set
• Soft Matrix
• Soft max-min decision making (SMmDM)
• Analytic hierarchy process (AHP)

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