Fuzzy Expert Decision Set

Dr. G. Geetharamani; C. Sharmiladevi; J. Arun Pandian

doi:https://doi.org/10.14445/22315373/IJMTT-V20P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 20 | Number 1 | Year 2015 | Article Id. IJMTT-V20P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V20P505

Fuzzy Expert Decision Set

Dr. G. Geetharamani, C. Sharmiladevi, J. Arun Pandian

Citation :

Dr. G. Geetharamani, C. Sharmiladevi, J. Arun Pandian, "Fuzzy Expert Decision Set," International Journal of Mathematics Trends and Technology (IJMTT), vol. 20, no. 1, pp. 41-46, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V20P505

Abstract

In 1965, L. A. Zadeh introduced the idea of fuzzy set theory as a common mathematical tool for handling with uncertainty. In this paper, we proposed the model of a Fuzzy Expert Decision Set, which will be more useful and effective. The Fuzzy Expert Decision Set where the user can know the opinion of all experts in one model and give an application of this model in decision making problem. We also define its fundamental operations, namely union, intersection, complement, AND and OR. Finally, we give an application of this model in decision making problem.

Keywords

Fuzzy Set, Fuzzy Soft Set, Fuzzy Expert Decision Set

References

[1] L. A. Zadeh (1965) "Fuzzy sets". Information and Control 8, 3, 338–353.
[2] Molodtsov, D. (1999) Soft Set Theory—First Results. Computers & Mathematics with Applications, 37, 19-31.
[3] 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.
[4] Maji, P.K., Roy, A.R. and Biswas, R. (2003) Soft Set Theory. Computers & Mathematics with Applications, 54, 555- 562.
[5] 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.
[6] Maji, P.K., Roy, A.R. and Biswas, R. (2001) Fuzzy Soft Sets. Journal of Fuzzy Mathematics, 9, 589-602.
[7] Roy, R. and Maji, P.K. (2007) A Fuzzy Soft Set Theoretic Approach to Decision Making Problems. Journal of Computationaland Applied Mathematics, 203, 412-418.
[8] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Soft Multisets Theory. Applied Mathematical Sciences, 5, 3561- 3573.
[9] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Fuzzy Parameterized Interval-Valued Fuzzy Soft Set. Applied Mathematical Sciences, 5, 3335-3346.
[10] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Possibility Fuzzy Soft Set. Advances in Decision Sciences, 2011.
[11] Alkhazaleh, S. and Salleh, A.R. (2011) Soft Expert Sets. Advances in Decision Sciences, 2011.
[12] Nagarajan R, Balamurugan K, (2014) Decision Making Approach for Solving Fuzzy Soft Matrix, 10, 2, 99-104.