×

An application of soft sets in a decision making problem. (English) Zbl 1044.90042

Summary: We apply the theory of soft sets to solve a decision making problem using rough mathematics.

MSC:

90B50 Management decision making, including multiple objectives
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Zadeh, L. A., Fuzzy Sets, Infor, and Control, 8, 338-353 (1965) · Zbl 0139.24606
[2] Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96 (1986) · Zbl 0631.03040
[3] Atanassov, K., Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64, 159-174 (1994) · Zbl 0844.04001
[4] Gau, W. L.; Buehrer, D. J., Vague sets, IEEE Trans. System Man Cybernet, 23, 2, 610-614 (1993) · Zbl 0782.04008
[5] Gorzalzany, M. B., A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems, 21, 1-17 (1987)
[6] Pawlak, Z., Rough sets, International Journal of Information and Computer Sciences, 11, 341-356 (1982) · Zbl 0501.68053
[7] Molodtsov, D., Soft set theory-first results, Computers Math. Applic., 37, 4/5, 19-31 (1999) · Zbl 0936.03049
[8] Yao, Y. Y., Relational interpretations of neighbourhood operators and rough set approximation operators, Information Sciences, 111, 1-4, 239-259 (1998) · Zbl 0949.68144
[9] Thielle, H., (On the concepts of qualitative fuzzy sets, 1999 IEEE International Symposium on Multiplevalued Logic. On the concepts of qualitative fuzzy sets, 1999 IEEE International Symposium on Multiplevalued Logic, May 20-22, 1999, Tokyo, Japan (1999))
[10] P.K. Maji, R. Biswas and A.R. Roy, On soft set theory, Computers Math. Applic.; P.K. Maji, R. Biswas and A.R. Roy, On soft set theory, Computers Math. Applic. · Zbl 1032.03525
[11] Pawlak, Z., Rough Sets: Theoretical aspects of reasoning about data (1991), Kluwer Academic: Kluwer Academic Boston, MA · Zbl 0758.68054
[12] Lin, T. Y., Granular computing on binary relations II: Rough set representations and belief functions, (Skoworn, A.; Polkowski, L., Rough Sets in Knowledge Discovery (1998), Springer-Verlag), 121-140 · Zbl 0927.68090
[13] Lin, T. Y., A set theory for soft computing, a unified view of fuzzy sets via neighbourhoods, (Proceedings of 1996 IEEE International Conference on Fuzzy Systems. Proceedings of 1996 IEEE International Conference on Fuzzy Systems, New Orleans, LA, September 8-11 (1996)), 1140-1146
[14] Pawlak, Z., Hard set and soft sets, ICS Research Report (1994), Poland · Zbl 0819.04008
[15] Prade, H.; Dubois, D., Fuzzy Sets & Systems Theory and Applications (1980), Academic Press: Academic Press London · Zbl 0444.94049
[16] Zimmermann, H.-J., Fuzzy Set Theory and Its Applications (1996), Kluwer Academic: Kluwer Academic Boston, MA · Zbl 0845.04006
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.