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.
[1] D. Molodstov, "Soft Set Theory-First Result," An International Journal
of Computers and Mathematics with Applications, vol. 37, pp. 19-31,1999.
[2] P.K. Maji, R. Biswas, and A.R. Roy, "Soft Set Theory," An International Journal of Computers and Mathematics with Applications,
vol. 45, pp. 555-562, 2003.
[3] H. Aktas, and N. Cagman, "Soft sets and soft groups," An International Journal of information sciences, vol. 177, pp. 2726-2735,2007.
[4] N.Cagman, and S.Enginoglu, "Soft Set Theory and Uni-Int Decision
Making," European Journal of Computers and Mathematics with Applications, vol. 207, pp. 848-855 , 2010.
[5] T. Herawan, and M. M. Deris, "Soft Decision making for patient
suspected influenza," Springer-Verlag Berlin Heidelberg, 2010.
[6] P.K. Maji, and A.R. Roy, "An Applications of Soft Sets in A Decision
Making Problem," An International Journal of Computers and
Mathematics with Applications, vol. 44, pp.1077-1083, 2002.
[7] N. Cagman, and S. Enginoglu, "Soft matrix theory and its decision
making," An International Journal of Computers and Mathematics with
Applications, vol. 59, pp. 3308-3314 , 2010.
[8] Kunz, J. (2010). The Analytic Hierarchy Process (AHP), Eagle City Hall
Location Option Task Force, February/March, 2010.
[9] Y. Wen Liu, Y. Jik Kwon, and B. Do Kang, "A fuzzy AHP approach to
evaluating e-commerce websites" Fifth International Conference on
Software Engineering Research, Management and Applications,pp.
114-122, 2007.
[10] T. L. Saaty, and L. G. Vargus, "Model, Methods, Concepts, &
Applications of the Analytic Hierarchy Process," United Stated of
America: Kluwer Academic Publishers, 2001, pp. 27-43.
[11] S. Razak, D. Mohamad, "An Application of Soft Matrices in Group
Decision Making Problems" unpublished.
[1] D. Molodstov, "Soft Set Theory-First Result," An International Journal
of Computers and Mathematics with Applications, vol. 37, pp. 19-31,1999.
[2] P.K. Maji, R. Biswas, and A.R. Roy, "Soft Set Theory," An International Journal of Computers and Mathematics with Applications,
vol. 45, pp. 555-562, 2003.
[3] H. Aktas, and N. Cagman, "Soft sets and soft groups," An International Journal of information sciences, vol. 177, pp. 2726-2735,2007.
[4] N.Cagman, and S.Enginoglu, "Soft Set Theory and Uni-Int Decision
Making," European Journal of Computers and Mathematics with Applications, vol. 207, pp. 848-855 , 2010.
[5] T. Herawan, and M. M. Deris, "Soft Decision making for patient
suspected influenza," Springer-Verlag Berlin Heidelberg, 2010.
[6] P.K. Maji, and A.R. Roy, "An Applications of Soft Sets in A Decision
Making Problem," An International Journal of Computers and
Mathematics with Applications, vol. 44, pp.1077-1083, 2002.
[7] N. Cagman, and S. Enginoglu, "Soft matrix theory and its decision
making," An International Journal of Computers and Mathematics with
Applications, vol. 59, pp. 3308-3314 , 2010.
[8] Kunz, J. (2010). The Analytic Hierarchy Process (AHP), Eagle City Hall
Location Option Task Force, February/March, 2010.
[9] Y. Wen Liu, Y. Jik Kwon, and B. Do Kang, "A fuzzy AHP approach to
evaluating e-commerce websites" Fifth International Conference on
Software Engineering Research, Management and Applications,pp.
114-122, 2007.
[10] T. L. Saaty, and L. G. Vargus, "Model, Methods, Concepts, &
Applications of the Analytic Hierarchy Process," United Stated of
America: Kluwer Academic Publishers, 2001, pp. 27-43.
[11] S. Razak, D. Mohamad, "An Application of Soft Matrices in Group
Decision Making Problems" unpublished.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:55326", author = "Samsiah Abdul Razak and Daud Mohamad", title = "A Soft Set based Group Decision Making Method with Criteria Weight", abstract = "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.", keywords = "Soft set, Soft Matrix, Soft max-min decision making (SMmDM), Analytic hierarchy process (AHP)", volume = "5", number = "10", pages = "1598-6", }