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Articles

Type-2 Hesitant Fuzzy Sets

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References

  • Zadeh LA. Fuzzy sets information and control. 1965;8(3):338–353.
  • Zadeh LA. Fuzzy algorithm information and control. 1968;12(2):94–102.
  • Zadeh LA. A rationale for fuzzy control. J Dyn Syst Meas Control. 1972;94(Series G):3–4. doi: 10.1115/1.3426540
  • Zadeh LA. Outline of a new approach to the analysis complex systems and decision processes. IEEE Transact Syst Man Cybernet. 1973;3(1):28–44. doi: 10.1109/TSMC.1973.5408575
  • Dubois D, Prage H. Fuzzy sets systems. New York: Academic press; 1980.
  • Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20(1):87–96. doi: 10.1016/S0165-0114(86)80034-3
  • Atanassov K, Gargov G. Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 1989;31:343–349. doi: 10.1016/0165-0114(89)90205-4
  • Castillo O, Melin P. Type-2 fuzzy logic theory and applications. Berlin: Springer-Verlag; 2008.
  • Gorzalczany MB. A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst. 1987;21:1–17. doi: 10.1016/0165-0114(87)90148-5
  • Hagras H. Type-2 FLCs: a new generation of fuzzy controllers. IEEE Comput Intell Mag. February 2007;2:30–43. doi: 10.1109/MCI.2007.357192
  • John R, Coupland S. Type-2 fuzzy logic: a historical view. IEEE Comput Intell Mag. February 2007;2:57–62. doi: 10.1109/MCI.2007.357194
  • Karnik NN, Mendel JM. Operations on type-2 fuzzy sets. Fuzzy Sets Syst. 2001;122:327–348. doi: 10.1016/S0165-0114(00)00079-8
  • Karnik NN, Mendel JM. Centroid of a type-2 fuzzy set. Inf Sci. 2001;132:195–220. doi: 10.1016/S0020-0255(01)00069-X
  • Liang Q, Mendel JM. Interval type-2 fuzzy logic systems: theory and design. IEEE Transact Fuzzy Syst. 2000;8:535–550. doi: 10.1109/91.873577
  • Liu F, Mendel JM. Aggregation using the fuzzy weighted average, as computed by the KM algorithms. IEEE Transact Fuzzy Syst. February 2008;16:1–12. doi: 10.1109/TFUZZ.2007.896229
  • Liu F, Mendel JM. Encoding words into interval type-2 fuzzy sets using an interval approach. IEEE Transact Syst. December 2008;16:1503–1521.
  • Melgarejo M. Implementing interval type-2 fuzzy processors. IEEE Comput Intell Mag. February 2007;2:63–71. doi: 10.1109/MCI.2007.357195
  • Mendel JM. Uncertain rule-based fuzzy logic systems: introduction and new directions. Upper-Saddle River (NJ): Prentice-Hall; 2001.
  • Mendel JM. Fuzzy sets for words: a new beginning. Proc. IEEE FUZZ Conference. St. Louis, MO, May 26–28, 2003, p. 37–42.
  • Mendel JM. Type-2 fuzzy sets and systems: an overview. IEEE Comput Intell Mag. February 2007;2:20–29.
  • Mendel JM. Advances in type-2 fuzzy sets and systems. Inf Sci. 2007;177:84–110. doi: 10.1016/j.ins.2006.05.003
  • Mendel JM, John RI. Type-2 fuzzy sets made simple. IEEE Transact Fuzzy Syst. April 2002;10:117–127. doi: 10.1109/91.995115
  • Mendel JM, John RI, Liu F. Interval type-2 fuzzy logic systems made simple. IEEE Transact Fuzzy Syst. December 2006;14:808–821. doi: 10.1109/TFUZZ.2006.879986
  • Rickard JT, Aisbett J, Gibbon G, et al. Fuzzy subsethood for type-n fuzzy sets, NAFIPS 2008, Paper # 60101, New York City, May 2008.
  • Wu D, Mendel JM. Uncertainty measures for interval type-2 fuzzy sets. Inf Sci. 2007;177:5378–5393. doi: 10.1016/j.ins.2007.07.012
  • Wu D, Mendel JM. Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Transact Fuzzy Syst. December 2007;15:1145–1161. doi: 10.1109/TFUZZ.2007.896325
  • Wu H, Mendel JM. Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems. IEEE Transact Fuzzy Syst. October 2002;10:622–639.
  • Torra V. Hesitant fuzzy sets. Int J Intell Syst. 2010;25:529–539.
  • Xia MM, Xu ZS. Hesitant fuzzy information aggregation in decision making. Int J Approx Reason. 2011;52:395–407. doi: 10.1016/j.ijar.2010.09.002
  • Hu J, Zhang X, Chen X, et al. Hesitant fuzzy information measures and their applications in multi-criteria decision making. Int J Syst Sci. 2016;47:62–76. doi: 10.1080/00207721.2015.1036476
  • Xu Z, Xia M. Distance and similarity measures for hesitant fuzzy sets. Inf Sci. 2011;181:2128–2138. doi: 10.1016/j.ins.2011.01.028
  • Bisht K, Kumar S. Fuzzy time series forecasting method based on hesitant fuzzy sets. Expert Syst Appl. 2016;64:557–568. doi: 10.1016/j.eswa.2016.07.044
  • Maldonado Y, Castillo O, Melin P. Particle swarm optimization of interval type-2 fuzzy systems for FPGA applications. Appl Soft Comput. 2013;13(1):496–508. doi: 10.1016/j.asoc.2012.08.032
  • Biglarbegian M, Melek WW, Mendel JM. 2008. Stability analysis of type-2 fuzzy systems. In Proceedings of IEEE FUZZ Conference, Paper # FS0233. Hong Kong, China, June 2008.
  • Du X, Ying H. Derivation and analysis of the analytical structures of the interval type-2 fuzzy-PI and PD controllers. IEEE Transact Fuzzy Syst. 2010;18(4):802–814. doi: 10.1109/TFUZZ.2010.2049022