×

Defuzzification as a special way of dealing with retranslation. (English) Zbl 1167.68454

Summary: The problem of defuzzification is examined in this paper from a broader perspective as a special way of dealing with the general problem of retranslation. The paper includes an overview of different formulations of the problem of defuzzification, as well as an overview of methods that have been suggested in the literature for dealing with the problem. Our own approach to defuzzification, which is described in the paper in more details, is based on relevant measures of uncertainty-based information. This paper is a companion to our recent paper that addresses the general problem of retranslation in computing with perceptions [Olga Martin and George J. Klir, Int. J. Gen. Syst. 35, No. 6, 655-674 (2006; Zbl 1116.68072)].

MSC:

68T50 Natural language processing
93C42 Fuzzy control/observation systems

Citations:

Zbl 1116.68072
Full Text: DOI

References:

[1] DOI: 10.1016/0022-247X(65)90049-1 · Zbl 0163.06301 · doi:10.1016/0022-247X(65)90049-1
[2] DOI: 10.1109/FUZZY.1996.551787 · doi:10.1109/FUZZY.1996.551787
[3] DOI: 10.1016/j.ins.2004.07.018 · Zbl 1074.03018 · doi:10.1016/j.ins.2004.07.018
[4] DOI: 10.1016/j.fss.2005.10.015 · Zbl 1100.03047 · doi:10.1016/j.fss.2005.10.015
[5] DOI: 10.1108/eb005482 · Zbl 0387.93004 · doi:10.1108/eb005482
[6] DOI: 10.1016/S0165-0114(00)00043-9 · Zbl 1016.94047 · doi:10.1016/S0165-0114(00)00043-9
[7] DOI: 10.1016/S0165-0114(00)00080-4 · Zbl 1010.03523 · doi:10.1016/S0165-0114(00)00080-4
[8] DOI: 10.1007/s00500-005-0042-6 · doi:10.1007/s00500-005-0042-6
[9] DOI: 10.1016/0165-0114(95)00002-3 · doi:10.1016/0165-0114(95)00002-3
[10] DOI: 10.1109/TSMCA.2006.878988 · doi:10.1109/TSMCA.2006.878988
[11] DOI: 10.1016/0165-0114(87)90028-5 · Zbl 0634.94026 · doi:10.1016/0165-0114(87)90028-5
[12] DOI: 10.1023/B:FODM.0000003950.58491.91 · Zbl 1428.90191 · doi:10.1023/B:FODM.0000003950.58491.91
[13] DOI: 10.1006/jmaa.2000.7116 · Zbl 0958.93531 · doi:10.1006/jmaa.2000.7116
[14] DOI: 10.1002/int.4550060702 · Zbl 0752.93040 · doi:10.1002/int.4550060702
[15] DOI: 10.1016/0165-0114(93)90383-S · doi:10.1016/0165-0114(93)90383-S
[16] DOI: 10.1016/0165-0114(95)00273-1 · Zbl 0886.94025 · doi:10.1016/0165-0114(95)00273-1
[17] DOI: 10.1016/S0165-0114(02)00216-6 · Zbl 1022.94032 · doi:10.1016/S0165-0114(02)00216-6
[18] Genther H., Proceedings of the IEEE International Conference on Fuzzy Systems pp 1645– (1994)
[19] DOI: 10.1016/S0165-0114(02)00098-2 · Zbl 1011.03504 · doi:10.1016/S0165-0114(02)00098-2
[20] DOI: 10.1109/FUZZY.1996.551785 · doi:10.1109/FUZZY.1996.551785
[21] DOI: 10.1016/0165-0114(92)90062-9 · Zbl 0755.60004 · doi:10.1016/0165-0114(92)90062-9
[22] Hellendoorn H., Journal of Intelligent and Fuzzy Systems 1 pp 109– (1993)
[23] DOI: 10.1016/S0165-0114(00)00039-7 · Zbl 0991.65047 · doi:10.1016/S0165-0114(00)00039-7
[24] DOI: 10.1016/S0165-0114(96)00356-9 · doi:10.1016/S0165-0114(96)00356-9
[25] DOI: 10.1016/S0165-0114(01)00167-1 · Zbl 1051.93059 · doi:10.1016/S0165-0114(01)00167-1
[26] DOI: 10.1080/03081079008935110 · Zbl 0703.94026 · doi:10.1080/03081079008935110
[27] DOI: 10.1016/S0165-0114(97)00371-0 · Zbl 0984.94045 · doi:10.1016/S0165-0114(97)00371-0
[28] Klir G.J., Uncertainty and Information: Foundations of Generalized Information Theory (2006) · Zbl 1280.94004
[29] Klir G.J., Fuzzy Sets and Fuzzy Logic: Theory and Applications (1995) · Zbl 0915.03001
[30] Larkin L.I., Industrial Applications of Fuzzy Control pp 87– (1985)
[31] Lewis H.W., The Foundations of Fuzzy Control (1997)
[32] DOI: 10.1016/j.fss.2005.09.010 · Zbl 1132.91376 · doi:10.1016/j.fss.2005.09.010
[33] DOI: 10.1016/j.mcm.2006.04.014 · Zbl 1141.93367 · doi:10.1016/j.mcm.2006.04.014
[34] DOI: 10.1016/0165-0114(93)90298-V · doi:10.1016/0165-0114(93)90298-V
[35] DOI: 10.1016/S0020-7373(75)80002-2 · Zbl 0301.68076 · doi:10.1016/S0020-7373(75)80002-2
[36] DOI: 10.1080/03081070600861123 · Zbl 1116.68072 · doi:10.1080/03081070600861123
[37] DOI: 10.1016/S0165-0114(98)00176-6 · Zbl 0968.93046 · doi:10.1016/S0165-0114(98)00176-6
[38] Ogura Y., International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 9 pp 1– (2001) · Zbl 1113.03342 · doi:10.1142/S0218488501000570
[39] DOI: 10.1142/S0218488503002387 · Zbl 1072.68619 · doi:10.1142/S0218488503002387
[40] DOI: 10.1016/S0165-0114(01)00125-7 · Zbl 1009.93047 · doi:10.1016/S0165-0114(01)00125-7
[41] DOI: 10.1016/S0165-0114(02)00107-0 · Zbl 1010.93523 · doi:10.1016/S0165-0114(02)00107-0
[42] Patyra M.J., Journal of Intelligent and Fuzzy Systems 4 pp 161– (1996)
[43] DOI: 10.1109/FUZZY.1992.258746 · doi:10.1109/FUZZY.1992.258746
[44] Ralescu, D. 2000.Proceedings of IPMU190–194. Madrid
[45] Ralescu D., Statistical Modeling, Analysis, and Management of Fuzzy Data pp 119– (2002) · doi:10.1007/978-3-7908-1800-0_8
[46] DOI: 10.1142/S0218488599000428 · Zbl 1113.93321 · doi:10.1142/S0218488599000428
[47] DOI: 10.1016/j.fss.2005.06.008 · Zbl 1084.28010 · doi:10.1016/j.fss.2005.06.008
[48] DOI: 10.1016/S0165-0114(95)00399-1 · Zbl 0925.93513 · doi:10.1016/S0165-0114(95)00399-1
[49] DOI: 10.1016/S0165-0114(02)00218-X · Zbl 1047.68141 · doi:10.1016/S0165-0114(02)00218-X
[50] DOI: 10.1002/int.1030 · Zbl 0980.93040 · doi:10.1002/int.1030
[51] DOI: 10.1016/0165-0114(95)00077-1 · doi:10.1016/0165-0114(95)00077-1
[52] DOI: 10.1080/03081079908935235 · Zbl 0952.93082 · doi:10.1080/03081079908935235
[53] DOI: 10.1109/FUZZY.1996.551822 · doi:10.1109/FUZZY.1996.551822
[54] DOI: 10.1109/91.554449 · doi:10.1109/91.554449
[55] DOI: 10.1109/FUZZY.1993.327350 · doi:10.1109/FUZZY.1993.327350
[56] Runkler, T.A. and Glesner, M. 1994a.Proceedings First European Congress on Fuzzy and Intelligent Technologies, 1206–1210. Germany: Aachen.
[57] Runkler T.A., Fuzzy Systems in Computer Science pp 255– (1994) · doi:10.1007/978-3-322-86825-1_20
[58] DOI: 10.1109/91.531767 · doi:10.1109/91.531767
[59] DOI: 10.1016/0165-0114(94)90287-9 · doi:10.1016/0165-0114(94)90287-9
[60] DOI: 10.1016/0165-0114(95)00219-7 · doi:10.1016/0165-0114(95)00219-7
[61] Tan S., Proceedings of the Fifth International Conference on Fuzzy Systems 1 pp 470– (1996) · doi:10.1109/FUZZY.1996.551786
[62] DOI: 10.1016/0005-1098(77)90077-2 · doi:10.1016/0005-1098(77)90077-2
[63] DOI: 10.1080/03081077808960680 · Zbl 0372.93025 · doi:10.1080/03081077808960680
[64] DOI: 10.1016/j.fss.2005.11.005 · Zbl 1090.93027 · doi:10.1016/j.fss.2005.11.005
[65] Van Leekwijck W., Fuzzy Logic and Intelligent Technologies for Nuclear Science and Industry pp 61– (1998)
[66] DOI: 10.1016/S0165-0114(97)00337-0 · Zbl 0962.93057 · doi:10.1016/S0165-0114(97)00337-0
[67] DOI: 10.1016/S0165-0114(00)00025-7 · Zbl 1012.93035 · doi:10.1016/S0165-0114(00)00025-7
[68] DOI: 10.1016/j.fss.2006.01.012 · Zbl 1104.03057 · doi:10.1016/j.fss.2006.01.012
[69] Wang P.P., Computing with Words (2001)
[70] DOI: 10.1016/S0020-0255(96)00278-2 · Zbl 0913.04008 · doi:10.1016/S0020-0255(96)00278-2
[71] Yager R.R., Proceedings Second International Conference on Fuzzy Logic and Neural Networks pp 65– (1992)
[72] DOI: 10.1109/21.229459 · Zbl 0787.93062 · doi:10.1109/21.229459
[73] DOI: 10.1016/0165-0114(93)90252-D · Zbl 0785.93060 · doi:10.1016/0165-0114(93)90252-D
[74] DOI: 10.1109/TFUZZ.1993.390286 · doi:10.1109/TFUZZ.1993.390286
[75] Yager R.R., Proceedings Fifth IFSA World Congress 1 pp 470– (1993)
[76] Yager R.R., Essentials of Fuzzy Modeling and Control (1994)
[77] DOI: 10.1108/03684929410054870 · Zbl 1002.93530 · doi:10.1108/03684929410054870
[78] DOI: 10.1016/S0019-9958(68)90211-8 · Zbl 0182.33301 · doi:10.1016/S0019-9958(68)90211-8
[79] DOI: 10.1109/91.493904 · doi:10.1109/91.493904
[80] DOI: 10.1109/81.739259 · Zbl 0954.68513 · doi:10.1109/81.739259
[81] Zadeh L.A., Computing with Words in Information/Intelligent Systems (1999) · Zbl 0931.00023
[82] DOI: 10.1016/0165-0114(91)90020-Q · Zbl 0763.93047 · doi:10.1016/0165-0114(91)90020-Q
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.