Alkhazaleh, Shawkat; Salleh, Abdul Razak Generalised interval-valued fuzzy soft set. (English) Zbl 1244.03140 J. Appl. Math. 2012, Article ID 870504, 18 p. (2012). Summary: We introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discuss its application in a medical diagnosis problem. Cited in 8 Documents MSC: 03E72 Theory of fuzzy sets, etc. 91B06 Decision theory 92C50 Medical applications (general) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] D. Molodtsov, “Soft set theory-first results,” Computers and Mathematics with Applications, vol. 37, no. 4-5, pp. 19-31, 1999. · Zbl 0936.03049 · doi:10.1016/S0898-1221(99)00056-5 [2] P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Computers and Mathematics with Applications, vol. 45, no. 4-5, pp. 555-562, 2003. · Zbl 1032.03525 · doi:10.1016/S0898-1221(03)00016-6 [3] P. K. Maji, A. R. Roy, and R. Biswas, “An application of soft sets in a decision making problem,” Computers and Mathematics with Applications, vol. 44, no. 8-9, pp. 1077-1083, 2002. · Zbl 1044.90042 · doi:10.1016/S0898-1221(02)00216-X [4] A. R. Roy and P. K. Maji, “A fuzzy soft set theoretic approach to decision making problems,” Journal of Computational and Applied Mathematics, vol. 203, no. 2, pp. 412-418, 2007. · Zbl 1128.90536 · doi:10.1016/j.cam.2006.04.008 [5] P. K. Maji, R. Biswas, and A. R. Roy, “Fuzzy soft sets,” Journal of Fuzzy Mathematics, vol. 9, no. 3, pp. 589-602, 2001. · Zbl 1004.03042 [6] Y. Zou and Z. Xiao, “Data analysis approaches of soft sets under incomplete information,” Knowledge-based Systems, vol. 21, no. 8, pp. 941-945, 2008. · doi:10.1016/j.knosys.2008.04.004 [7] 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 [8] 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 [9] S. Alkhazaleh, A. R. Salleh, and N. Hassan, “Possibility fuzzy soft set,” Advances in Decision Sciences, Article ID 479756, 18 pages, 2011. · Zbl 1234.03032 [10] S. Alkhazaleh and A. R. Salleh, “Soft expert sets,” Advances in Decision Sciences, vol. 2011, 15 pages, 2011. · Zbl 1233.68208 [11] A. R. Salleh, “From soft sets to intuitionistic fuzzy soft sets: a brief survey,” in Proceedings of the International Seminar on the Current Research Progress in Sciences and Technology (ISSTech ’11), Universiti Kebangsaan Malaysia-Universitas Indonesia, Bandung, Indonesia, October 2011. [12] P. Majumdar and S. K. Samanta, “Generalised fuzzy soft sets,” Computers and Mathematics with Applications, vol. 59, no. 4, pp. 1425-1432, 2010. · Zbl 1189.03057 · doi:10.1016/j.camwa.2009.12.006 [13] X. Yang, T. Y. Lin, J. Yang, Y. Li, and D. Yu, “Combination of interval-valued fuzzy set and soft set,” Computers and Mathematics with Applications, vol. 58, no. 3, pp. 521-527, 2009. · Zbl 1189.03064 · doi:10.1016/j.camwa.2009.04.019 [14] M. B. Gorzałczany, “A method of inference in approximate reasoning based on interval-valued fuzzy sets,” Fuzzy Sets and Systems, vol. 21, no. 1, pp. 1-17, 1987. · Zbl 0635.68103 · doi:10.1016/0165-0114(87)90148-5 [15] L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-I,” vol. 8, pp. 199-249, 1975. · Zbl 0397.68071 · doi:10.1016/0020-0255(75)90036-5 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.