Fuzzy Soft Expert Set and Its Application
Affiliation(s)
Department of Mathematics, Faculty of Science and Art, Shaqra University, Shaqraa, KSA. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia.
Department of Mathematics, Faculty of Science and Art, Shaqra University, Shaqraa, KSA. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia.
ABSTRACT
In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh and Salleh (2011) define the concept of soft expert sets where the user can know the opinion of all experts in one model and give an application of this concept in decision making problem. So in this paper, we generalize the concept of a soft expert set to fuzzy soft expert set, which will be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR. We give an application of this concept in decision making problem. Finally, we study a mapping on fuzzy soft expert classes and its properties.
Cite this paper
Alkhazaleh, S. and Salleh, A. (2014) Fuzzy Soft Expert Set and Its Application. Applied Mathematics, 5, 1349-1368. doi: 10.4236/am.2014.59127.
Alkhazaleh, S. and Salleh, A. (2014) Fuzzy Soft Expert Set and Its Application. Applied Mathematics, 5, 1349-1368. doi: 10.4236/am.2014.59127.
References
[1] Molodtsov, D. (1999) Soft Set Theory—First Results. Computers & Mathematics with Applications, 37, 19-31.
http://dx.doi.org/10.1016/S0898-1221(99)00056-5 [2] Chen, D., Tsang, E.C.C., Yeung, D.S. and Wang, X. (2005) The Parameterization Reduction of Soft Sets and Its Application. Computers & Mathematics with Applications, 49, 757-763.
http://dx.doi.org/10.1016/j.camwa.2004.10.036 [3] Maji, P.K., Roy, A.R. and Biswas, R. (2003) Soft Set Theory. Computers & Mathematics with Applications, 54, 555562.
http://dx.doi.org/10.1016/S0898-1221(03)00016-6 [4] Maji, P.K., Roy, A.R. and Biswas, R. (2002) An Application of Soft Sets in a Decision Making Problem. Computers & Mathematics with Applications, 44, 1077-1083.
http://dx.doi.org/10.1016/S0898-1221(02)00216-X [5] Maji, P.K., Roy, A.R. and Biswas, R. (2001) Fuzzy Soft Sets. Journal of Fuzzy Mathematics, 9, 589-602. [6] Roy, R. and Maji, P.K. (2007) A Fuzzy Soft Set Theoretic Approach to Decision Making Problems. Journal of Computational and Applied Mathematics, 203, 412-418.
http://dx.doi.org/10.1016/j.cam.2006.04.008 [7] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Soft Multisets Theory. Applied Mathematical Sciences, 5, 35613573. [8] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Fuzzy Parameterized Interval-Valued Fuzzy Soft Set. Applied Mathematical Sciences, 5, 3335-3346. [9] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Possibility Fuzzy Soft Set. Advances in Decision Sciences, 2011, 18 p. [10] Alkhazaleh, S. and Salleh, A.R. (2011) Soft Expert Sets. Advances in Decision Sciences, 2011, 15 p.
[1] Molodtsov, D. (1999) Soft Set Theory—First Results. Computers & Mathematics with Applications, 37, 19-31.
http://dx.doi.org/10.1016/S0898-1221(99)00056-5 [2] Chen, D., Tsang, E.C.C., Yeung, D.S. and Wang, X. (2005) The Parameterization Reduction of Soft Sets and Its Application. Computers & Mathematics with Applications, 49, 757-763.
http://dx.doi.org/10.1016/j.camwa.2004.10.036 [3] Maji, P.K., Roy, A.R. and Biswas, R. (2003) Soft Set Theory. Computers & Mathematics with Applications, 54, 555562.
http://dx.doi.org/10.1016/S0898-1221(03)00016-6 [4] Maji, P.K., Roy, A.R. and Biswas, R. (2002) An Application of Soft Sets in a Decision Making Problem. Computers & Mathematics with Applications, 44, 1077-1083.
http://dx.doi.org/10.1016/S0898-1221(02)00216-X [5] Maji, P.K., Roy, A.R. and Biswas, R. (2001) Fuzzy Soft Sets. Journal of Fuzzy Mathematics, 9, 589-602. [6] Roy, R. and Maji, P.K. (2007) A Fuzzy Soft Set Theoretic Approach to Decision Making Problems. Journal of Computational and Applied Mathematics, 203, 412-418.
http://dx.doi.org/10.1016/j.cam.2006.04.008 [7] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Soft Multisets Theory. Applied Mathematical Sciences, 5, 35613573. [8] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Fuzzy Parameterized Interval-Valued Fuzzy Soft Set. Applied Mathematical Sciences, 5, 3335-3346. [9] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Possibility Fuzzy Soft Set. Advances in Decision Sciences, 2011, 18 p. [10] Alkhazaleh, S. and Salleh, A.R. (2011) Soft Expert Sets. Advances in Decision Sciences, 2011, 15 p.