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Soft expert sets. (English) Zbl 1233.68208
Summary: In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Many researchers have studied this theory, and they created some models to solve problems in decision making and medical diagnosis, but most of these models deal only with one expert. This causes a problem with the user, especially with those who use questionnaires in their work and studies. In our model, the user can know the opinion of all experts in one model. So, in this paper, we introduce the concept of a soft expert set, which is more effective and useful. We also define its basic operations, namely, complement, union intersection AND, and OR. Finally, we show an application of this concept in decision-making problem.

68T37Reasoning under uncertainty
68T30Knowledge representation
03E72Fuzzy set theory
Full Text: DOI
[1] D. Molodtsov, “Soft set theory-first results,” Computers & Mathematics with Applications, vol. 37, no. 4-5, pp. 19-31, 1999. · Zbl 0936.03049 · doi:10.1016/S0898-1221(99)00056-5
[2] D. Chen, E. C. C. Tsang, D. S. Yeung, and X. Wang, “The parameterization reduction of soft sets and its applications,” Computers & Mathematics with Applications, vol. 49, no. 5-6, pp. 757-763, 2005. · Zbl 1074.03510 · doi:10.1016/j.camwa.2004.10.036
[3] P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Computers & Mathematics with Applications, vol. 45, no. 4-5, pp. 555-562, 2003. · Zbl 1032.03525 · doi:10.1016/S0898-1221(03)00016-6
[4] P. K. Maji, A. R. Roy, and R. Biswas, “An application of soft sets in a decision making problem,” Computers & Mathematics with Applications, vol. 44, no. 8-9, pp. 1077-1083, 2002. · Zbl 1044.90042 · doi:10.1016/S0898-1221(02)00216-X
[5] S. Alkhazaleh, A. R. Salleh, and N. Hassan, “Soft multisets theory,” Applied Mathematical Sciences, vol. 5, no. 72, pp. 3561-3573, 2011. · Zbl 1257.03081
[6] S. Alkhazaleh, A. R. Salleh, and N. Hassan, “Possibility fuzzy soft set,” Advances in Decision Sciences, vol. 2011, Article ID 479756, 18 pages, 2011. · Zbl 1234.03032 · doi:10.1155/2011/479756
[7] S. Alkhazaleh, A. R. Salleh, and N. Hassan, “Fuzzy parameterized interval-valued fuzzy soft set,” Applied Mathematical Sciences, vol. 5, no. 67, pp. 3335-3346, 2011. · Zbl 1253.03080
[8] M. I. Ali, F. Feng, X. Liu, W. K. Min, and M. Shabir, “On some new operations in soft set theory,” Computers & Mathematics with Applications, vol. 57, no. 9, pp. 1547-1553, 2009. · Zbl 1186.03068 · doi:10.1016/j.camwa.2008.11.009