Share This Article:

Fuzzy Soft Expert Set and Its Application

Abstract Full-Text HTML Download Download as PDF (Size:452KB) PP. 1349-1368
DOI: 10.4236/am.2014.59127    2,724 Downloads   4,018 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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.

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.

  
comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.