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Erschienen in: Granular Computing 4/2021

25.07.2020 | Original Paper

Noise-resistant fuzzy clustering algorithm

verfasst von: S. Askari

Erschienen in: Granular Computing | Ausgabe 4/2021

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Abstract

The main objective of Fuzzy C-means (FCM) algorithm is to group data into some clusters based on their similarities and dissimilarities. However, noise and outliers affect the performance of the algorithm that results in misplaced cluster centers. Although several corrections are made in the algorithm to tackle this problem but the algorithm is not improved effectively and still suffers from the same problem. Noise-resistant FCM (nrFCM) algorithm is proposed in this work to improve the performance of the FCM algorithm when dealing with noise and outliers. The nrFCM algorithm eliminates the effects of noise and outliers on the cluster centers by introducing a function of distance instead of the distance itself into the objective function of the FCM algorithm. It is shown that the nrFCM algorithm is significantly more accurate than the FCM algorithm and noise and outliers cannot impair its accuracy. However, its runtime is higher than that of the FCM algorithm because of nonlinear update equation for cluster centers.

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Literatur
Zurück zum Zitat Ahmed T, Mohamed B, Abdelkader C (2015) Nonlinear system identification using clustering algorithm based on kernel method and particle swarm optimization. Int J Uncertain Fuzziness Knowl-Based Syst 23(5):667–683MathSciNetMATH Ahmed T, Mohamed B, Abdelkader C (2015) Nonlinear system identification using clustering algorithm based on kernel method and particle swarm optimization. Int J Uncertain Fuzziness Knowl-Based Syst 23(5):667–683MathSciNetMATH
Zurück zum Zitat Aladag CH, Yolcu U, Egrioglu E, Dalar AZ (2012) A new time invariant fuzzy time series forecasting method based on particle swarm optimization. Appl Soft Comput 12(10):3291–3299 Aladag CH, Yolcu U, Egrioglu E, Dalar AZ (2012) A new time invariant fuzzy time series forecasting method based on particle swarm optimization. Appl Soft Comput 12(10):3291–3299
Zurück zum Zitat Amezcua J, Melin P (2019) A new fuzzy learning vector quantization method for classification problems based on a granular approach. Granul Comput 4:197–209 Amezcua J, Melin P (2019) A new fuzzy learning vector quantization method for classification problems based on a granular approach. Granul Comput 4:197–209
Zurück zum Zitat Anderson D, Bezdek J, Popescu M, Keller J (2010) Comparing fuzzy, probabilistic, and possibilistic partitions. IEEE Trans Fuzzy Syst 18(5):906–917 Anderson D, Bezdek J, Popescu M, Keller J (2010) Comparing fuzzy, probabilistic, and possibilistic partitions. IEEE Trans Fuzzy Syst 18(5):906–917
Zurück zum Zitat Antonelli M, Ducange P, Lazzerini B, Marcelloni F (2016) Multi-objective evolutionary design of granular rule-based classifiers. Granul Comput 1:37–58 Antonelli M, Ducange P, Lazzerini B, Marcelloni F (2016) Multi-objective evolutionary design of granular rule-based classifiers. Granul Comput 1:37–58
Zurück zum Zitat Apolloni B, Bassis S, Rota J, Galliani GL, Gioia M, Ferrari L (2016) A neurofuzzy algorithm for learning from complex granules. Granul Comput 1:225–246 Apolloni B, Bassis S, Rota J, Galliani GL, Gioia M, Ferrari L (2016) A neurofuzzy algorithm for learning from complex granules. Granul Comput 1:225–246
Zurück zum Zitat Askari S (2017a) A novel and fast MIMO fuzzy inference system based on a class of fuzzy clustering algorithms with interpretability and complexity analysis. Expert Syst Appl 84:301–322 Askari S (2017a) A novel and fast MIMO fuzzy inference system based on a class of fuzzy clustering algorithms with interpretability and complexity analysis. Expert Syst Appl 84:301–322
Zurück zum Zitat Askari S (2017b) Oil reservoirs classification using fuzzy clustering. Int J Eng 30(9):1391–1400 Askari S (2017b) Oil reservoirs classification using fuzzy clustering. Int J Eng 30(9):1391–1400
Zurück zum Zitat Askari S, Montazerin N (2015) A high-order multi-variable Fuzzy Time Series forecasting algorithm based on fuzzy clustering. Expert Syst Appl 42(4):2121–2135 Askari S, Montazerin N (2015) A high-order multi-variable Fuzzy Time Series forecasting algorithm based on fuzzy clustering. Expert Syst Appl 42(4):2121–2135
Zurück zum Zitat Askari S, Montazerin N, Fazel Zarandi MH (2015a) A clustering based forecasting algorithm for multivariable fuzzy time series using linear combinations of independent variables. Appl Soft Comput 35:151–160 Askari S, Montazerin N, Fazel Zarandi MH (2015a) A clustering based forecasting algorithm for multivariable fuzzy time series using linear combinations of independent variables. Appl Soft Comput 35:151–160
Zurück zum Zitat Askari S, Montazerin N, Fazel Zarandi MH (2015b) Forecasting semi-dynamic response of natural gas networks to nodal gas consumptions using genetic fuzzy systems. Energy 83:252–266 Askari S, Montazerin N, Fazel Zarandi MH (2015b) Forecasting semi-dynamic response of natural gas networks to nodal gas consumptions using genetic fuzzy systems. Energy 83:252–266
Zurück zum Zitat Askari S, Montazerin N, Fazel Zarandi MH (2016a) High frequency modeling of natural gas networks from low frequency nodal meter readings using time series disaggregation. IEEE Trans Ind Inf 12(1):136–147 Askari S, Montazerin N, Fazel Zarandi MH (2016a) High frequency modeling of natural gas networks from low frequency nodal meter readings using time series disaggregation. IEEE Trans Ind Inf 12(1):136–147
Zurück zum Zitat Askari S, Montazerin N, Fazel Zarandi MH (2016b) Gas networks simulation from disaggregation of low frequency nodal gas consumption. Energy 112:1286–1298 Askari S, Montazerin N, Fazel Zarandi MH (2016b) Gas networks simulation from disaggregation of low frequency nodal gas consumption. Energy 112:1286–1298
Zurück zum Zitat Askari S, Montazerin N, Fazel Zarandi MH, Hakimi E (2017a) Generalized entropy based possibilistic fuzzy c-means for clustering noisy data and its convergence proof. Neurocomputing 219:186–202 Askari S, Montazerin N, Fazel Zarandi MH, Hakimi E (2017a) Generalized entropy based possibilistic fuzzy c-means for clustering noisy data and its convergence proof. Neurocomputing 219:186–202
Zurück zum Zitat Askari S, Montazerin N, Fazel Zarandi MH (2017b) Generalized possibilistic fuzzy c-means with novel cluster validity indices for clustering noisy data. Appl Soft Comput 53:262–283 Askari S, Montazerin N, Fazel Zarandi MH (2017b) Generalized possibilistic fuzzy c-means with novel cluster validity indices for clustering noisy data. Appl Soft Comput 53:262–283
Zurück zum Zitat Askari S, Montazerin N, Fazel Zarandi MH (2020) Modeling energy flow in natural gas networks using time series disaggregation and fuzzy systems tuned by particle swarm optimization. Appl Soft Comput 92:106332 Askari S, Montazerin N, Fazel Zarandi MH (2020) Modeling energy flow in natural gas networks using time series disaggregation and fuzzy systems tuned by particle swarm optimization. Appl Soft Comput 92:106332
Zurück zum Zitat Aydav PSS, Minz S (2020) Granulation-based self-training for the semi-supervised classification of remote-sensing images. Granular Computing 5:309–327 Aydav PSS, Minz S (2020) Granulation-based self-training for the semi-supervised classification of remote-sensing images. Granular Computing 5:309–327
Zurück zum Zitat Beliakov G, Li G, Vu HQ, Wilkin T (2015) Characterizing compactness of geometrical clusters using fuzzy measures. IEEE Trans Fuzzy Syst 23(4):1030–1043 Beliakov G, Li G, Vu HQ, Wilkin T (2015) Characterizing compactness of geometrical clusters using fuzzy measures. IEEE Trans Fuzzy Syst 23(4):1030–1043
Zurück zum Zitat Bezdek JC, Ehrlich R, Full W (1984) FCM: the fuzzy c-means clustering algorithm. Comput Geosci 10(2–3):191–203 Bezdek JC, Ehrlich R, Full W (1984) FCM: the fuzzy c-means clustering algorithm. Comput Geosci 10(2–3):191–203
Zurück zum Zitat Bouzbida M, Hassine L, Chaari A (2017) Robust kernel clustering algorithm for nonlinear system identification. Math Probl Eng 2017:1–11MathSciNetMATH Bouzbida M, Hassine L, Chaari A (2017) Robust kernel clustering algorithm for nonlinear system identification. Math Probl Eng 2017:1–11MathSciNetMATH
Zurück zum Zitat Chen SM, Chang YC (2010) Multi-variable fuzzy forecasting based on fuzzy clustering and fuzzy rule interpolation techniques. Inf Sci 180(24):4772–4783MathSciNet Chen SM, Chang YC (2010) Multi-variable fuzzy forecasting based on fuzzy clustering and fuzzy rule interpolation techniques. Inf Sci 180(24):4772–4783MathSciNet
Zurück zum Zitat Chen SM, Chen SW (2014) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and the probabilities of trends of fuzzy logical relationships. IEEE Trans Cybern 45(3):391–403 Chen SM, Chen SW (2014) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and the probabilities of trends of fuzzy logical relationships. IEEE Trans Cybern 45(3):391–403
Zurück zum Zitat Chen SM, Chen SW (2015) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and the probabilities of trends of fuzzy logical relationships. IEEE Trans Cybern 45(3):391–403 Chen SM, Chen SW (2015) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and the probabilities of trends of fuzzy logical relationships. IEEE Trans Cybern 45(3):391–403
Zurück zum Zitat Chen SM, Jian WS (2017) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups, similarity measures and PSO techniques. Inf Sci 391–392:65–79 Chen SM, Jian WS (2017) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups, similarity measures and PSO techniques. Inf Sci 391–392:65–79
Zurück zum Zitat Chen SM, Phuong BDH (2017) Fuzzy time series forecasting based on optimal partitions of intervals and optimal weighting vectors. Knowl-Based Syst 118:204–216 Chen SM, Phuong BDH (2017) Fuzzy time series forecasting based on optimal partitions of intervals and optimal weighting vectors. Knowl-Based Syst 118:204–216
Zurück zum Zitat Chen SM, Tanuwijaya K (2011a) Fuzzy forecasting based on high-order fuzzy logical relationships and automatic clustering techniques. Expert Syst Appl 38(12):15425–15437 Chen SM, Tanuwijaya K (2011a) Fuzzy forecasting based on high-order fuzzy logical relationships and automatic clustering techniques. Expert Syst Appl 38(12):15425–15437
Zurück zum Zitat Chen SM, Tanuwijaya K (2011b) Multivariate fuzzy forecasting based on fuzzy time series and automatic clustering techniques. Expert Syst Appl 38(8):10594–10605 Chen SM, Tanuwijaya K (2011b) Multivariate fuzzy forecasting based on fuzzy time series and automatic clustering techniques. Expert Syst Appl 38(8):10594–10605
Zurück zum Zitat Chen SM, Wang NY (2010) Fuzzy forecasting based on fuzzy-trend logical relationship groups. IEEE Trans Syst Man Cybern Part B (Cybern) 40(5):1343–1358 Chen SM, Wang NY (2010) Fuzzy forecasting based on fuzzy-trend logical relationship groups. IEEE Trans Syst Man Cybern Part B (Cybern) 40(5):1343–1358
Zurück zum Zitat Chen L, Chen CLP, Lu M (2011) A multiple-kernel fuzzy c-means algorithm for image segmentation. IEEE Trans Syst Man Cybern Part B (Cybern) 41(5):1263–1274 Chen L, Chen CLP, Lu M (2011) A multiple-kernel fuzzy c-means algorithm for image segmentation. IEEE Trans Syst Man Cybern Part B (Cybern) 41(5):1263–1274
Zurück zum Zitat Chen SM, Chu HP, Sheu TW (2012) TAIEX forecasting using fuzzy time series and automatically generated weights of multiple factors. IEEE Trans Syst Man Cybern Part A: Syst Hum 42(6):1485–1495 Chen SM, Chu HP, Sheu TW (2012) TAIEX forecasting using fuzzy time series and automatically generated weights of multiple factors. IEEE Trans Syst Man Cybern Part A: Syst Hum 42(6):1485–1495
Zurück zum Zitat Chen SM, Manalu GMT, Pan JS, Liu HC (2013) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and particle swarm optimization techniques. IEEE Trans Cybern 43(3):1102–1117 Chen SM, Manalu GMT, Pan JS, Liu HC (2013) Fuzzy forecasting based on two-factors second-order fuzzy-trend logical relationship groups and particle swarm optimization techniques. IEEE Trans Cybern 43(3):1102–1117
Zurück zum Zitat Chen SM, Zou XY, Gunawan GC (2019a) Fuzzy time series forecasting based on proportions of intervals and particle swarm optimization techniques. Inf Sci 500:127–139MathSciNet Chen SM, Zou XY, Gunawan GC (2019a) Fuzzy time series forecasting based on proportions of intervals and particle swarm optimization techniques. Inf Sci 500:127–139MathSciNet
Zurück zum Zitat Cheng CH, Cheng GW, Wang JW (2008) Multi-attribute fuzzy time series method based on fuzzy clustering. Expert Syst Appl 34(2):1235–1242MathSciNet Cheng CH, Cheng GW, Wang JW (2008) Multi-attribute fuzzy time series method based on fuzzy clustering. Expert Syst Appl 34(2):1235–1242MathSciNet
Zurück zum Zitat Ciucci D (2016) Orthopairs and granular computing. Granular. Computing 1:159–170 Ciucci D (2016) Orthopairs and granular computing. Granular. Computing 1:159–170
Zurück zum Zitat Dubois D, Prade H (2016) Bridging gaps between several forms of granular computing. Granul Comput 1:115–126 Dubois D, Prade H (2016) Bridging gaps between several forms of granular computing. Granul Comput 1:115–126
Zurück zum Zitat Duru O, Bulut E (2014) A non-linear clustering method for fuzzy time series: histogram damping partition under the optimized cluster paradox. Appl Soft Comput 24:742–748 Duru O, Bulut E (2014) A non-linear clustering method for fuzzy time series: histogram damping partition under the optimized cluster paradox. Appl Soft Comput 24:742–748
Zurück zum Zitat Egrioglu E, Aladag CH, Yolcu U, Uslu VR, Erilli NA (2011) Fuzzy time series forecasting method based on Gustafson-Kessel fuzzy clustering. Expert Syst Appl 38(8):10355–10357 Egrioglu E, Aladag CH, Yolcu U, Uslu VR, Erilli NA (2011) Fuzzy time series forecasting method based on Gustafson-Kessel fuzzy clustering. Expert Syst Appl 38(8):10355–10357
Zurück zum Zitat Filippone M, Masulli F, Rovetta S (2010) Applying the possibilistic c-means algorithm in kernel-induced spaces. IEEE Trans Fuzzy Syst 18(3):572–584 Filippone M, Masulli F, Rovetta S (2010) Applying the possibilistic c-means algorithm in kernel-induced spaces. IEEE Trans Fuzzy Syst 18(3):572–584
Zurück zum Zitat Gosain A, Dahiya S (2016) Performance analysis of various fuzzy clustering algorithms: a review. Proc Comput Sci 79:100–111 Gosain A, Dahiya S (2016) Performance analysis of various fuzzy clustering algorithms: a review. Proc Comput Sci 79:100–111
Zurück zum Zitat Groll L, Jakel J (2005) A new convergence proof of fuzzy C-means. IEEE Trans Fuzzy Syst 13(3):717–720 Groll L, Jakel J (2005) A new convergence proof of fuzzy C-means. IEEE Trans Fuzzy Syst 13(3):717–720
Zurück zum Zitat Hathaway RJ, Bezdek JC (2001) Fuzzy C-means clustering of incomplete data. IEEE Trans Syst Man Cybern Part B (Cybern) 31(5):735–744 Hathaway RJ, Bezdek JC (2001) Fuzzy C-means clustering of incomplete data. IEEE Trans Syst Man Cybern Part B (Cybern) 31(5):735–744
Zurück zum Zitat Havens T, Bezdek J, Leckie C, Hall L, Palaniswami M (2012) Fuzzy c-means algorithms for very large data. IEEE Trans Fuzzy Syst 20(6):1130–1146 Havens T, Bezdek J, Leckie C, Hall L, Palaniswami M (2012) Fuzzy c-means algorithms for very large data. IEEE Trans Fuzzy Syst 20(6):1130–1146
Zurück zum Zitat Kalist V, Ganesan P, Sathish BS, Jenitha JMM, Shaik KB (2015) Possibilistic-fuzzy C-means clustering approach for the segmentation of satellite images in HSL color space. Proc Comput Sci 57:49–56 Kalist V, Ganesan P, Sathish BS, Jenitha JMM, Shaik KB (2015) Possibilistic-fuzzy C-means clustering approach for the segmentation of satellite images in HSL color space. Proc Comput Sci 57:49–56
Zurück zum Zitat Koutroumbas KD, Xenaki SD, Rontogiannis AA (2018) On the convergence of the sparse possibilistic c-means algorithm. IEEE Trans Fuzzy Syst 26(1):324–337 Koutroumbas KD, Xenaki SD, Rontogiannis AA (2018) On the convergence of the sparse possibilistic c-means algorithm. IEEE Trans Fuzzy Syst 26(1):324–337
Zurück zum Zitat Krishnapuram R, Keller J (1993) A possibilistic approach to clustering. IEEE Trans Fuzzy Syst 1(2):98–110 Krishnapuram R, Keller J (1993) A possibilistic approach to clustering. IEEE Trans Fuzzy Syst 1(2):98–110
Zurück zum Zitat Krishnapuram R, Keller J (1996) The possibilistic c-means algorithm: insights and recommendations. IEEE Trans Fuzzy Syst 4(3):385–393 Krishnapuram R, Keller J (1996) The possibilistic c-means algorithm: insights and recommendations. IEEE Trans Fuzzy Syst 4(3):385–393
Zurück zum Zitat Krisnapuram R, Frigui H, Nasroui O (1995a) Fuzzy and possibilistic shell clustering algorithms and their application to boundary detection and surface approximation-Part I. IEEE Trans Fuzzy Syst 3(1):29–43 Krisnapuram R, Frigui H, Nasroui O (1995a) Fuzzy and possibilistic shell clustering algorithms and their application to boundary detection and surface approximation-Part I. IEEE Trans Fuzzy Syst 3(1):29–43
Zurück zum Zitat Krisnapuram R, Frigui H, Nasroui O (1995b) Fuzzy and possibilistic shell clustering algorithms and their application to boundary detection and surface approximation-Part II. IEEE Trans Fuzzy Syst 3(1):44–60 Krisnapuram R, Frigui H, Nasroui O (1995b) Fuzzy and possibilistic shell clustering algorithms and their application to boundary detection and surface approximation-Part II. IEEE Trans Fuzzy Syst 3(1):44–60
Zurück zum Zitat Lei T, Jia X, Zhang Y, He L, Meng H, Nandi AK (2018) Significantly fast and robust fuzzy c-means clustering algorithm based on morphological reconstruction and membership filtering. IEEE Trans Fuzzy Syst 26(5):3027–3041 Lei T, Jia X, Zhang Y, He L, Meng H, Nandi AK (2018) Significantly fast and robust fuzzy c-means clustering algorithm based on morphological reconstruction and membership filtering. IEEE Trans Fuzzy Syst 26(5):3027–3041
Zurück zum Zitat Li ST, Cheng YC (2010) A stochastic HMM-based forecasting model for fuzzy time series. IEEE Trans Syst Man Cybern Part B (Cybern) 40(5):1255–1266 Li ST, Cheng YC (2010) A stochastic HMM-based forecasting model for fuzzy time series. IEEE Trans Syst Man Cybern Part B (Cybern) 40(5):1255–1266
Zurück zum Zitat Lingras P, Haider F, Triff M (2016) Granular meta-clustering based on hierarchical, network, and temporal connections. Granul Comput 1:71–92 Lingras P, Haider F, Triff M (2016) Granular meta-clustering based on hierarchical, network, and temporal connections. Granul Comput 1:71–92
Zurück zum Zitat Liu H, Cocea M (2017) Granular computing-based approach for classification towards reduction of bias in ensemble learning. Granul Comput 2:131–139 Liu H, Cocea M (2017) Granular computing-based approach for classification towards reduction of bias in ensemble learning. Granul Comput 2:131–139
Zurück zum Zitat Liu H, Cocea M (2019) Nature-inspired framework of ensemble learning for collaborative classification in granular computing context. Granul Comput 4:715–724 Liu H, Cocea M (2019) Nature-inspired framework of ensemble learning for collaborative classification in granular computing context. Granul Comput 4:715–724
Zurück zum Zitat Liu H, Zhang L (2018) Fuzzy rule-based systems for recognition-intensive classification in granular computing context. Granul Comput 3:355–365 Liu H, Zhang L (2018) Fuzzy rule-based systems for recognition-intensive classification in granular computing context. Granul Comput 3:355–365
Zurück zum Zitat Liu Z, Xu S, Zhang Y, Chen CLP (2014) A multiple-feature and multiple-kernel scene segmentation algorithm for humanoid robot. IEEE Trans Cybern 44(11):2232–2240 Liu Z, Xu S, Zhang Y, Chen CLP (2014) A multiple-feature and multiple-kernel scene segmentation algorithm for humanoid robot. IEEE Trans Cybern 44(11):2232–2240
Zurück zum Zitat Livi L, Sadeghian A (2016) Granular computing, computational intelligence, and the analysis of non-geometric input spaces. Granul Comput 1:13–20 Livi L, Sadeghian A (2016) Granular computing, computational intelligence, and the analysis of non-geometric input spaces. Granul Comput 1:13–20
Zurück zum Zitat Loia V, D’Aniello G, Gaeta A, Orciuoli F (2016) Enforcing situation awareness with granular computing: a systematic overview and new perspectives. Granul Comput 1:127–143 Loia V, D’Aniello G, Gaeta A, Orciuoli F (2016) Enforcing situation awareness with granular computing: a systematic overview and new perspectives. Granul Comput 1:127–143
Zurück zum Zitat Maji P, Pal SK (2007) Rough set based generalized fuzzy c-means algorithm and quantitative indices. IEEE Trans Syst Man Cybern Part B (Cybern) 37(6):1529–1540 Maji P, Pal SK (2007) Rough set based generalized fuzzy c-means algorithm and quantitative indices. IEEE Trans Syst Man Cybern Part B (Cybern) 37(6):1529–1540
Zurück zum Zitat Makrogiannis S, Economou G, Fotopoulos S, Bourbakis NG (2005) Segmentation of color images using multiscale clustering and graph theoretic region synthesis. IEEE Trans Syst Man Cybern Part A: Syst Hum 35(2):224–238 Makrogiannis S, Economou G, Fotopoulos S, Bourbakis NG (2005) Segmentation of color images using multiscale clustering and graph theoretic region synthesis. IEEE Trans Syst Man Cybern Part A: Syst Hum 35(2):224–238
Zurück zum Zitat Martino FD, Sessa S (2020) Extended Gustafson-Kessel granular hotspot detection. Granul Comput 5:85–95 Martino FD, Sessa S (2020) Extended Gustafson-Kessel granular hotspot detection. Granul Comput 5:85–95
Zurück zum Zitat Ozdemir D, Akarun L (2011) Fuzzy algorithms for combined quantization and dithering. IEEE Trans Image Process 10(6):923–931MATH Ozdemir D, Akarun L (2011) Fuzzy algorithms for combined quantization and dithering. IEEE Trans Image Process 10(6):923–931MATH
Zurück zum Zitat Pal NR, Pal K, Keller JM, Bezdek JC (2005) A possibilistic fuzzy C-means clustering algorithm. IEEE Trans Fuzzy Syst 13(4):517–530 Pal NR, Pal K, Keller JM, Bezdek JC (2005) A possibilistic fuzzy C-means clustering algorithm. IEEE Trans Fuzzy Syst 13(4):517–530
Zurück zum Zitat Peters G, Weber R (2016) DCC: a framework for dynamic granular clustering. Granul Comput 1:1–11 Peters G, Weber R (2016) DCC: a framework for dynamic granular clustering. Granul Comput 1:1–11
Zurück zum Zitat Srinivasan T, Palanisamy B (2015) Scalable clustering of high-dimensional data technique using SPCM with ant colony optimization intelligence. Sci World J 2015:1–5 Srinivasan T, Palanisamy B (2015) Scalable clustering of high-dimensional data technique using SPCM with ant colony optimization intelligence. Sci World J 2015:1–5
Zurück zum Zitat Tolias YA, Panas SM (1998) Image segmentation by a fuzzy clustering algorithm using adaptive spatially constrained membership functions. IEEE Trans Syst Man Cybern Part A: Syst Hum 28(3):359–369 Tolias YA, Panas SM (1998) Image segmentation by a fuzzy clustering algorithm using adaptive spatially constrained membership functions. IEEE Trans Syst Man Cybern Part A: Syst Hum 28(3):359–369
Zurück zum Zitat Tung WL, Quek C (2004) Falcon: neural fuzzy control and decision systems using FKP and PFKP clustering algorithms. IEEE Trans Syst Man Cybern Part B (Cybern) 34(1):686–695 Tung WL, Quek C (2004) Falcon: neural fuzzy control and decision systems using FKP and PFKP clustering algorithms. IEEE Trans Syst Man Cybern Part B (Cybern) 34(1):686–695
Zurück zum Zitat Wang G, Yang J, Xu J (2017) Granular computing: from granularity optimization to multi-granularity joint problem solving. Granul Comput 2:105–120 Wang G, Yang J, Xu J (2017) Granular computing: from granularity optimization to multi-granularity joint problem solving. Granul Comput 2:105–120
Zurück zum Zitat Wang Q, Wang X, Fang C, Yang W (2020) Robust fuzzy c-means clustering algorithm with adaptive spatial & intensity constraint and membership linking for noise image segmentation. Appl Soft Comput 92:106318 Wang Q, Wang X, Fang C, Yang W (2020) Robust fuzzy c-means clustering algorithm with adaptive spatial & intensity constraint and membership linking for noise image segmentation. Appl Soft Comput 92:106318
Zurück zum Zitat Wong WK, Bai E, Chu AWC (2010) Adaptive time-variant models for fuzzy-time-series forecasting. IEEE Trans Syst Man Cybern Part B (Cybern) 40(6):1531–1542 Wong WK, Bai E, Chu AWC (2010) Adaptive time-variant models for fuzzy-time-series forecasting. IEEE Trans Syst Man Cybern Part B (Cybern) 40(6):1531–1542
Zurück zum Zitat Xie Z, Wang S, Zhang DY, Chung FL, Hanbin (2007) Image segmentation using the enhanced possibilistic clustering method. Inf Technol J 6(4):541–546 Xie Z, Wang S, Zhang DY, Chung FL, Hanbin (2007) Image segmentation using the enhanced possibilistic clustering method. Inf Technol J 6(4):541–546
Zurück zum Zitat Zeng S, Chen SM, Teng MO (2019) Fuzzy forecasting based on linear combinations of independent variables, subtractive clustering algorithm and artificial bee colony algorithm. Inf Sci 484:350–366 Zeng S, Chen SM, Teng MO (2019) Fuzzy forecasting based on linear combinations of independent variables, subtractive clustering algorithm and artificial bee colony algorithm. Inf Sci 484:350–366
Zurück zum Zitat Zhang Q, Chen Z (2014) A distributed weighted possibilistic C-means algorithm for clustering incomplete big sensor data. Int J Distrib Sens Netw 2014:1–14 Zhang Q, Chen Z (2014) A distributed weighted possibilistic C-means algorithm for clustering incomplete big sensor data. Int J Distrib Sens Netw 2014:1–14
Zurück zum Zitat Zhang JS, Leung YW (2004) Improved possibilistic C-means clustering algorithms. IEEE Trans Fuzzy Syst 12(2):209–217 Zhang JS, Leung YW (2004) Improved possibilistic C-means clustering algorithms. IEEE Trans Fuzzy Syst 12(2):209–217
Zurück zum Zitat Zhang M, Hall LO, Goldgof DB (2002) A generic knowledge-guided image segmentation and labeling system using fuzzy clustering algorithms. IEEE Trans Syst Man Cybern Part B (Cybern) 32(5):571–582 Zhang M, Hall LO, Goldgof DB (2002) A generic knowledge-guided image segmentation and labeling system using fuzzy clustering algorithms. IEEE Trans Syst Man Cybern Part B (Cybern) 32(5):571–582
Zurück zum Zitat Zhang Y, Huang D, Ji M, Xie F (2011) Image segmentation using PSO and PCM with Mahalanobis distance. Expert Syst Appl 38(7):9036–9040 Zhang Y, Huang D, Ji M, Xie F (2011) Image segmentation using PSO and PCM with Mahalanobis distance. Expert Syst Appl 38(7):9036–9040
Zurück zum Zitat Zhang Q, Yang LT, Chen Z, Xia F (2017a) A high-order possibilistic c-means algorithm for clustering incomplete multimedia data. IEEE Syst J 11(4):2160–2169 Zhang Q, Yang LT, Chen Z, Xia F (2017a) A high-order possibilistic c-means algorithm for clustering incomplete multimedia data. IEEE Syst J 11(4):2160–2169
Zurück zum Zitat Zhang Q, Yang LT, Castiglione A, Peng ZC (2019b) Secure weighted possibilistic C-means algorithm on cloud for clustering big data. Inf Sci 479:515–525 Zhang Q, Yang LT, Castiglione A, Peng ZC (2019b) Secure weighted possibilistic C-means algorithm on cloud for clustering big data. Inf Sci 479:515–525
Zurück zum Zitat Zhu L, Chung FL, Wang S (2009) Generalized fuzzy c-means clustering algorithm with improved fuzzy partitions. IEEE Trans Syst Man Cybern Part B (Cybern) 39(3):578–591 Zhu L, Chung FL, Wang S (2009) Generalized fuzzy c-means clustering algorithm with improved fuzzy partitions. IEEE Trans Syst Man Cybern Part B (Cybern) 39(3):578–591
Metadaten
Titel
Noise-resistant fuzzy clustering algorithm
verfasst von
S. Askari
Publikationsdatum
25.07.2020
Verlag
Springer International Publishing
Erschienen in
Granular Computing / Ausgabe 4/2021
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-020-00230-6

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