13.3.8.1.1 Fuzzy Sets, Fuzzy Logic

Chapter Contents (Back)
Fuzzy Sets. Fuzzy Logic. Probability. Uncertainty. Evidence Theory. See also Fuzzy Clustering, Fuzzy Classification Techniques, Fuzzy C-Means.

Zadeh, L.A.,
Fuzzy Sets,
InfoControl(8), 1965, pp. 338-353. Fuzzy Sets. Fuzzy Logic. This paper describes a class of objects with a continuum of grades of membership. The standard set operations are extended to the case where membership is not absolute, but is graded from 0 to 1. This looks much like probabilities, but the meaning and operations are not the same. BibRef 6500

Zadeh, L.A.,
Similarity Relations and Fuzzy Orderings,
IS(3), 1971, pp. 177-200. BibRef 7100

Zadeh, L.A.,
Fuzzy Logic,
Computer(21), No. 4, April 1988, pp. 83-93. BibRef 8804

Zadeh, L.A.,
The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, I, II and III,
IS(8), No. 9, 1975. BibRef 7500

Zadeh, L.A.,
Fuzzy Logic = Computing with Words,
Fuzzy(4), No. 2, 1996, pp. 103-111. BibRef 9600

Goetcherian, V.[Vartkes],
From binary to grey tone image processing using fuzzy logic concepts,
PR(12), No. 1, 1980, pp. 7-15.
Elsevier DOI 0309
BibRef

Huntsberger, T.L., Rangarajan, C., Jayaramamurthy, S.N.,
Representation of Uncertainty in Computer Vision Using Fuzzy Sets,
TC(35), 1986, pp. 145-156. BibRef 8600

Pawlak, Z.[Zdzislaw],
Rough Sets,
JICS(11), 1982, pp. 341-356. BibRef 8200

Pawlak, Z.[Zdzislaw], Grzymala-Busse, J.[Jerzy], Slowinski, R.[Roman], Ziarko, W.[Wojciech],
Rough sets,
CACM(38), No. 11, November 1995, pp. 88-95.
DOI Link Survey, Rough Sets. BibRef 9511

Pawlak, Z.[Zdzislaw], Wong, S.K.M., Ziarko, W.,
Rough Sets: Probabilistic Versus Deterministic Approach,
MMS(29), 1988, pp. 81-95. BibRef 8800

Ziarko, W.,
Variable Precision Rough Set Model,
JCSSI(40), No. 1, 1993, pp. 39-59. BibRef 9300

Pedrycz, W.,
Introduction to the Special Issue on Fuzzy Set Technology in Pattern-Recognition,
PRL(17), No. 6, May 15 1996, pp. 565-566. 9607
BibRef

Pedrycz, W.,
Fuzzy sets in pattern recognition: Methodology and methods,
PR(23), No. 1-2, 1990, pp. 121-146.
Elsevier DOI 0401
See also consensus-driven fuzzy clustering, A. See also Genetically Optimized Fuzzy Decision Trees. BibRef

Pedrycz, W.,
Conditional Fuzzy C-Means,
PRL(17), No. 6, May 15 1996, pp. 625-631. 9607
BibRef

Pedrycz, W.[Witold],
Collaborative fuzzy clustering,
PRL(23), No. 14, December 2002, pp. 1675-1686.
Elsevier DOI 0208
BibRef

Pedrycz, W.[Witold],
Fuzzy clustering with a knowledge-based guidance,
PRL(25), No. 4, March 2004, pp. 469-480.
Elsevier DOI 0402
BibRef

Pedrycz, W.[Witold],
Interpretation of clusters in the framework of shadowed sets,
PRL(26), No. 15, November 2005, pp. 2439-2449.
Elsevier DOI 0510
Interpretation of fuzzy clustering results. BibRef

Pedrycz, W.[Witold],
A dynamic data granulation through adjustable fuzzy clustering,
PRL(29), No. 16, 1 December 2008, pp. 2059-2066.
Elsevier DOI 0811
Dynamic clustering; Cluster split and cluster merge; Data dynamics; Data snapshot; Fuzzy clustering; Reconstruction criterion BibRef

Pedrycz, W.[Witold], Vukovich, G.[George],
Feature analysis through information granulation and fuzzy sets,
PR(35), No. 4, April 2002, pp. 825-834.
Elsevier DOI 0201
BibRef

Pedrycz, W.[Witold], Vukovich, G.[George],
Logic-oriented fuzzy clustering,
PRL(23), No. 13, November 2002, pp. 1515-1527.
Elsevier DOI 0206
BibRef

Pedrycz, W.[Witold], Vukovich, G.[George],
Fuzzy clustering with supervision,
PR(37), No. 7, July 2004, pp. 1339-1349.
Elsevier DOI 0405
BibRef

Nakagawa, Y., Hirota, K., Pedrycz, W.,
A Fuzzy Knowledge-Base for Dynamic Image Understanding,
PRL(17), No. 6, May 15 1996, pp. 601-605. 9607
BibRef

Lee, K.J., Bien, Z.,
A Model-Based Machine Vision System Using Fuzzy-Logic,
ApproximateR(16), No. 1, January 1997, pp. 119-135. 9703
BibRef

Shang, X.G., Jiang, W.S.,
A Note on Fuzzy Information Measures,
PRL(18), No. 5, May 1997, pp. 425-432. 9708
BibRef

De, R.K.[Rajat K.], Pal, N.R.[Nikhil R.], Pal, S.K.[Sankar K.],
Feature Analysis: Neural Network and Fuzzy Set Theoretic Approaches,
PR(30), No. 10, October 1997, pp. 1579-1590.
Elsevier DOI 9712
BibRef

Binaghi, E.[Elisabetta], Brivio, P.A.[Pietro A.], Ghezzi, P.[Paolo], Rampini, A.[Anna],
A fuzzy set-based accuracy assessment of soft classification,
PRL(20), No. 8, August 1999, pp. 935-948. BibRef 9908

Boxer, L.,
On Hausdorff-Like Metrics for Fuzzy-Sets,
PRL(18), No. 2, February 1997, pp. 115-118. 9704
BibRef
And: Correction: PRL(18), No. 5, May 1997, pp. 505-506. 9708
BibRef

Fan, J.L.[Jiu-Lun],
Note on Hausdorff-like metrics for fuzzy sets,
PRL(19), No. 9, 31 July 1998, pp. 793-796. BibRef 9807

Brass, P.[Peter],
On the nonexistence of Hausdorff-like metrics for fuzzy sets,
PRL(23), No. 1-3, January 2002, pp. 39-43.
Elsevier DOI 0201
BibRef

Dengfeng, L.[Li], Chuntian, C.[Cheng],
New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions,
PRL(23), No. 1-3, January 2002, pp. 221-225.
Elsevier DOI 0201
BibRef

Hung, W.L.[Wen-Liang], Yang, M.S.[Miin-Shen],
Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance,
PRL(25), No. 14, 15 October 2004, pp. 1603-1611.
Elsevier DOI 0410
BibRef

Liang, Z.Z.[Zhi-Zhen], Shi, P.F.[Peng-Fei],
Similarity measures on intuitionistic fuzzy sets,
PRL(24), No. 15, November 2003, pp. 2687-2693.
Elsevier DOI 0308
BibRef

Hillenbrand, U.[Ulrich],
On the relation between probabilistic inference and fuzzy sets in visual scene analysis,
PRL(25), No. 15, November 2004, pp. 1691-1699.
Elsevier DOI 0411
BibRef

Zhang, C.Y.[Cheng-Yi], Fu, H.Y.[Hai-Yan],
Similarity measures on three kinds of fuzzy sets,
PRL(27), No. 12, September 2006, pp. 1307-1317.
Elsevier DOI 0606
Intuitionistic fuzzy sets; Similarity measures BibRef

Vlachos, I.K.[Ioannis K.], Sergiadis, G.D.[George D.],
Intuitionistic fuzzy information: Applications to pattern recognition,
PRL(28), No. 2, 15 January 2007, pp. 197-206.
Elsevier DOI 0611
Intuitionistic fuzzy set; Discrimination information measure; Intuitionistic fuzzy cross-entropy; Intuitionistic fuzzy entropy; Fuzziness; Intuitionism; Pattern recognition; Medical diagnosis; Image segmentation BibRef

lo Bosco, G.[Giosuè],
An integrated fuzzy cells-classifier,
IVC(25), No. 2, February 2007, pp. 214-219.
Elsevier DOI 0701
Clustering; Classification; Classifier fusion; Fuzzy sets; Genetic algorithms; Multiple classifiers BibRef

Li, Y.[Yun], Wu, Z.F.[Zhong-Fu],
Fuzzy feature selection based on min-max learning rule and extension matrix,
PR(41), No. 1, January 2008, pp. 217-226.
Elsevier DOI 0710
Fuzzy set theory; Feature selection; Min-max rule; Extension matrix BibRef

Sun, Z.L., Au, K.F., Choi, T.M.,
A Neuro-Fuzzy Inference System Through Integration of Fuzzy Logic and Extreme Learning Machines,
SMC-B(37), No. 5, October 2007, pp. 1321-1331.
IEEE DOI 0711
BibRef

Wu, H.N., Li, H.X.,
Finite-Dimensional Constrained Fuzzy Control for a Class of Nonlinear Distributed Process Systems,
SMC-B(37), No. 5, October 2007, pp. 1422-1430.
IEEE DOI 0711
BibRef

Loia, V.[Vincenzo], Pedrycz, W.[Witold], Sessa, S.[Salvatore],
Fuzzy Relation Calculus In The Compression And Decompression Of Fuzzy Relations,
IJIG(2), No. 4, October 2002, pp. 617-631. 0210
BibRef

Pedrycz, W., Park, B.J., Oh, S.K.,
The design of granular classifiers: A study in the synergy of interval calculus and fuzzy sets in pattern recognition,
PR(41), No. 12, December 2008, pp. 3720-3735.
Elsevier DOI 0810
Granular classifier; Core and secondary structure of patterns; Hyperboxes; DBSCAN; Membership functions; Separability index BibRef

Sen, D., Pal, S.K.,
Generalized Rough Sets, Entropy, and Image Ambiguity Measures,
SMC-B(39), No. 1, February 2009, pp. 117-128.
IEEE DOI 0902
BibRef

Sen, D., Pal, S.K.,
Histogram Thresholding Using Fuzzy and Rough Measures of Association Error,
IP(18), No. 4, April 2009, pp. 879-888.
IEEE DOI 0903
BibRef

Pal, S.K.[Sankar K.], Peters, J.F.[James F.], (Eds.)
Rough Fuzzy Image Analysis: Foundations and Methodologies,
CRC PressBoca Raton, FL, May 04, 2010 ISBN: 9781439803295.
WWW Link. Buy this book: Rough Fuzzy Image Analysis: Foundations and Methodologies (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series) Survey, Fuzzy Sets. 1010
BibRef

Sladoje, N.[Natasa], Lindblad, J.[Joakim], Nystrom, I.[Ingela],
Defuzzification of spatial fuzzy sets by feature distance minimization,
IVC(29), No. 2-3, February 2011, pp. 127-141.
Elsevier DOI 1101
Defuzzification; Shape matching; Segmentation; Feature representation; Fuzzy set distance BibRef

Zhou, J.[Jie], Pedrycz, W.[Witold], Miao, D.Q.[Duo-Qian],
Shadowed sets in the characterization of rough-fuzzy clustering,
PR(44), No. 8, August 2011, pp. 1738-1749.
Elsevier DOI 1104
Shadowed sets; Rough sets; Rough-fuzzy clustering; Granulation-degranulation BibRef

Liu, Y.[Yan], Zhou, S.S.[Shu-Sen], Chen, Q.C.[Qing-Cai],
Discriminative deep belief networks for visual data classification,
PR(44), No. 10-11, October-November 2011, pp. 2287-2296.
Elsevier DOI 1101
Semi-supervised learning; Discriminative deep belief networks; Deep learning; Visual data classification BibRef

Zhou, S.S.[Shu-Sen], Chen, Q.C.[Qing-Cai], Wang, X.L.[Xiao-Long],
Discriminative Deep Belief Networks for image classification,
ICIP10(1561-1564).
IEEE DOI 1009
BibRef
And:
Deep Quantum Networks for Classification,
ICPR10(2885-2888).
IEEE DOI 1008
BibRef

Galar, M., Fernandez, J., Beliakov, G., Bustince, H.,
Interval-Valued Fuzzy Sets Applied to Stereo Matching of Color Images,
IP(20), No. 7, July 2011, pp. 1949-1961.
IEEE DOI 1107
BibRef

Grekousis, G.[George], Photis, Y.N.[Yorgos N.],
A fuzzy index for detecting spatiotemporal outliers,
GeoInfo(16), No. 3, July 2012, pp. 597-619.
Springer DOI 1202
BibRef
And: Erratum: Spelling of name. GeoInfo(16), No. 3, July 2012, pp. 621.
WWW Link. 1202
How likely is it an outlier. BibRef

Pham, T.D.[Tuan D.],
Possibilistic nonlinear dynamical analysis for pattern recognition,
PR(46), No. 3, March 2013, pp. 808-816.
Elsevier DOI 1212
Nonlinear dynamics; Entropy measures; Possibility; Fuzzy sets; Geostatistics; Biosignals; Pattern recognition BibRef

Huang, W.J.[Wen-Jing], Zhang, G.[Geng], Li, H.X.[Han-Xiong],
The distance of probabilistic fuzzy sets for classification,
PRL(34), No. 16, 2013, pp. 2157-2165.
Elsevier DOI 1310
Probabilistic fuzzy set BibRef

Chen, L., Tu, C.,
Dominance-Based Ranking Functions for Interval-Valued Intuitionistic Fuzzy Sets,
Cyber(44), No. 8, August 2014, pp. 1269-1282.
IEEE DOI 1407
Accuracy BibRef

Piedra-Fernandez, J.A., Ortega, G., Wang, J.Z., Canton-Garbin, M.,
Fuzzy Content-Based Image Retrieval for Oceanic Remote Sensing,
GeoRS(52), No. 9, September 2014, pp. 5422-5431.
IEEE DOI 1407
fuzzy reasoning BibRef

Chinnasamy, S.,
Performance improvement of fuzzy-based algorithms for medical image retrieval,
IET-IPR(8), No. 6, June 2014, pp. 319-326.
DOI Link 1407
BibRef

Petrou, Z.I.[Zisis I.], Kosmidou, V.[Vasiliki], Manakos, I.[Ioannis], Stathaki, T.[Tania], Adamo, M.[Maria], Tarantino, C.[Cristina], Tomaselli, V.[Valeria], Blonda, P.[Palma], Petrou, M.[Maria],
A rule-based classification methodology to handle uncertainty in habitat mapping employing evidential reasoning and fuzzy logic,
PRL(48), No. 1, 2014, pp. 24-33.
Elsevier DOI 1410
Dempster-Shafer theory BibRef

Gupta, P., Lin, C.T., Mehlawat, M.K., Grover, N.,
A New Method for Intuitionistic Fuzzy Multiattribute Decision Making,
SMCS(46), No. 9, September 2016, pp. 1167-1179.
IEEE DOI 1609
Accuracy BibRef

Manchanda, M.[Meenu], Sharma, R.[Rajiv],
A novel method of multimodal medical image fusion using fuzzy transform,
JVCIR(40, Part A), No. 1, 2016, pp. 197-217.
Elsevier DOI 1609
Medical imaging BibRef

Manchanda, M.[Meenu], Sharma, R.[Rajiv],
An improved multimodal medical image fusion algorithm based on fuzzy transform,
JVCIR(51), 2018, pp. 76-94.
Elsevier DOI 1802
Multimodal medical image fusion, Fuzzy transform, Fusion performance measures BibRef

El Adel, A.[Asma], Ejbali, R.[Ridha], Zaied, M.[Mourad], Ben Amar, C.[Chokri],
A hybrid approach for Content-Based Image Retrieval based on Fast Beta Wavelet network and fuzzy decision support system,
MVA(27), No. 5, August 2016, pp. 781-799.
WWW Link. 1609
BibRef

Hassairi, S., Ejbali, R.[Ridha], Zaied, M.[Mourad],
Sparse Wavelet Auto-Encoders for Image Classification,
DICTA16(1-6)
IEEE DOI 1701
Classification algorithms BibRef

Raza, M.S.[Muhammad Summair], Qamar, U.[Usman],
A heuristic based dependency calculation technique for rough set theory,
PR(81), 2018, pp. 309-325.
Elsevier DOI 1806
Rough set theory, Heuristic dependency calculation, Reducts, Dependency, Positive region BibRef

Guo, J.[Jifa], Du, S.H.[Shi-Hong],
Modeling Words for Qualitative Distance Based on Interval Type-2 Fuzzy Sets,
IJGI(7), No. 8, 2018, pp. xx-yy.
DOI Link 1809
BibRef


Zhai, J.H.[Jun-Hai], Wan, B.[Bin], Zhang, S.[Sufang],
Probabilistic tolerance rough set model,
ICWAPR15(214-219)
IEEE DOI 1511
approximation theory BibRef

Tian, D.Z.[Da-Zeng], Yang, Z.T.[Zhong-Tang],
An exponential entropy on intuitionistic fuzzy sets,
ICWAPR15(198-202)
IEEE DOI 1511
decision making BibRef

Ijsselmuiden, J., Dornheim, J.,
Interaction analysis through fuzzy temporal logic: Extensions for clustering and parameter learning,
AVSS15(1-6)
IEEE DOI 1511
fuzzy logic BibRef

Fiedukowicz, A.[Anna],
Fuzzy Rough Sets Theory Reducts for Quantitative Decisions: Approach for Spatial Data Generalization,
PReMI15(314-324).
Springer DOI 1511
BibRef

Sosnowski, L.[Lukasz], Slezak, D.[Dominik],
Fuzzy Set Interpretation of Comparator Networks,
PReMI15(345-353).
Springer DOI 1511
BibRef

Suraj, Z.[Zbigniew], Lasek, A.[Agnieszka],
Inverted Fuzzy Implications in Backward Reasoning,
PReMI15(354-364).
Springer DOI 1511
BibRef

Selman, J.[Joe], Amer, M.R.[Mohamed R.], Fern, A.[Alan], Todorovic, S.[Sinisa],
PEL-CNF: Probabilistic event logic conjunctive normal form for video interpretation,
SIG11(680-687).
IEEE DOI 1201
probabilistic event logic. BibRef

Zhang, D.[Degan], Li, L.Q.[Lin-Qing], Liu, W.W.[Wei-Wei], Chen, X.Y.[Xu-Yan],
Research on Approach of Data Association Based on Fuzzy Logic for Nomadic Tracking Application,
CISP09(1-5).
IEEE DOI 0910
BibRef

Zhang, D.[Degan], Zhang, X.[Xiaoli], Wang, Y.Y.[Yuan-Yuan], Li, C.[Chao],
Research on Approach of Entropy-Based Wavelet Filtering for Nomadic Service,
CISP09(1-5).
IEEE DOI 0910
BibRef

Pang, Q.L.[Qing-Le],
Sample Normalization Algorithm of Neural Network Based on Fuzzy Rough Set Theory,
CISP09(1-5).
IEEE DOI 0910
BibRef

Bailey, D.[Donald], Wong, Y.W.[Yu Wua], Tang, L.Q.[Li-Qiong],
Hierarchical Fuzzy State Controller for Robot Vision,
RobVis08(391-402).
Springer DOI 0802
BibRef

Šešelja, B.[Branimir], Tepavcevic, A.[Andreja],
Fuzzy Ordering Relation and Fuzzy Poset,
PReMI07(209-216).
Springer DOI 0712
BibRef

Erdem, H.[Hamit],
A Practical Fuzzy Logic Controller for Sumo Robot Competition,
PReMI07(217-225).
Springer DOI 0712
BibRef

Sushmita, S.[Shanu], Chaudhury, S.[Santanu],
Hierarchical Fuzzy Case Based Reasoning with Multi-criteria Decision Making for Financial Applications,
PReMI07(226-234).
Springer DOI 0712
BibRef

Sen, S.[Santanu], Pal, T.[Tandra],
A Neuro-Fuzzy Scheme for Integrated Input Fuzzy Set Selection and Optimal Fuzzy Rule Generation for Classification,
PReMI07(287-294).
Springer DOI 0712
BibRef

Fincke, T.[Tonio], Schiewe, J.[Jochen],
Considering uncertainties within an emergency prediction model in an urban environement,
CityModels09(xx-yy).
PDF File. 0912
BibRef

Schiewe, J.[Jochen], Kinkeldey, C.[Christoph],
Development of an advanced uncertainty measure for classified remotely sensed scenes,
CityModels09(xx-yy).
PDF File. 0912
BibRef

Schiewe, J.[Jochen],
Visual Analytics approach for considering uncertainty information,
CityModels09(xx-yy).
PDF File. 0912
BibRef

Schiewe, J., Gähler, M.,
Modelling uncertainty in high resolution remotely sensed scenes using a fuzzy logic approach,
OBIA06(xx-yy).
PDF File. 0607
BibRef

Park, W., Lee, H.K.,
Fuzzy Logic Based Satellite Image Classification: Generation of Fuzzy Membership Function and Rule from Training Set,
MVA98(xx-yy). BibRef 9800

Dance, S., Liu, Z.,
Fuzzy Belief and Scene Interpretation,
SCV95(575-580).
IEEE DOI U. of Melbourne. BibRef 9500

Friedman, Y., Sandler, U.,
A new approach to fuzzy dynamics,
ICPR94(B:615-618).
IEEE DOI 9410
BibRef

Fageth, R.[Reiner], Allen, W.G.[William G.], Jäger, U.[Uwe],
Ultra fast pattern classification by fuzzy logic,
CAIP93(578-585).
Springer DOI 9309
BibRef

Costin, H.,
On object classification by means of fuzzy sets theory,
ICPR92(II:458-461).
IEEE DOI 9208
BibRef

Chapter on Matching and Recognition Using Volumes, High Level Vision Techniques, Invariants continues in
Maximum Likelihood Estimation, Classification .


Last update:Nov 12, 2018 at 11:26:54