Parameterized Soft Complex Fuzzy Sets
Abstract
In this paper, we presents a new concept of parameterized soft complex fuzzy set (pscf-set) which is generalized from the innovative concept of a complex fuzzy set by adding phase term to the definition of fuzzy set. Various operators with examples of pscf-set provided in this paper. We then define a pscf-set aggregation operator.
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References
Cagman, N., Citak, F.,, Enginoglu,S., “Fuzzy Parameterized Fuzzy Soft Sets- Theory and Its Applications”, Turkish Journal of Fuzzy Systems, Vol. 1,No. 1, (2010), pp. 21 – 35.
Cagman, N., Citak, F., Enginoglu, S., “FP-Soft set Theory and its Applications”, Annals of Fuzzy Mathematics and Informatics, Vol. 2, No. 2, (2011), pp. 219 – 226.
Cagman, N., Enginoglu, S., and Citak, F., “Fuzzy Soft Set Theory and Its Applications”, Iranian Journal of Fuzzy Systems, Vol.8, No.3, (2011), pp. 137-147.
Ramot, D., Milo, R., Friedman, M., and A. Kandel, “Complex fuzzy sets” IEEE Trans. Fuzzy Syst., vol. 10, No. 2, pp. 171–186, Apr.2002.
Ramot, D., Friedman, M., Langholz, G., and Kandel, A., “Complex fuzzy logic,” IEEE Trans Fuzzy Syst., vol. 11, no. 4, pp. 450– 461, Aug. 2003.
Molodtsov, D.A., Soft set theory – First result, Computers Math. Appl. 37 (4/5)19-3, 1999
Thirunavukarasu, P., Suresh, R., and Thamilmani, P., “Applications of Complex Fuzzy Sets”, JP Journal of Applied Mathematics, Vol.6, Issues 1&2, pp. 5-22, 2013.
Thirunavukarasu, P., Suresh, R., “Soft Complex Fuzzy Sets”, IMRF Journal, Vol: 3,Issue: 1, pp. 72-76, 2014.
Zadeh, L. A.,” Fuzzy Sets”, Inform. And Control 8 (1965), pp. 338 – 353.
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