Abstract
This article presents similarity based reasoning approach for recognition of compound objects. It contains mathematical foundations for comparators theory as well as comparators network theory. It shows also three different practical applications in field of image recognition, text recognition and risk recognition.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Knowledge discovery in databases.
- 2.
- 3.
\( [0,1]^{ref}\) this is a designation of the vector space \(\varvec{v}\) with the length |ref|, where each iâth coordinate \(v[i]\in [0,1]\) refers to the element \(y_{i}\in ref\), \(ref=\{y_1,\ldots ,y_{|ref|}\}\).
- 4.
National Register of Territorial Divisions.
- 5.
- 6.
- 7.
The next extreme point is chosen clockwise, basing on the 8-point neighborhood, remembering the recently visited points in order to backtrack, if necessary.
- 8.
- 9.
- 10.
Reporting and evidence system used by the State Fire Service.
References
Aamodt, A., Plaza, E.: Case-based reasoning: foundational issues, methodological variations, and system approaches. Artif. Intell. Commun. 7(1), 39â59 (1994)
Agosta, L.: The Essential Guide to Data Warehousing. Essential Guide Series, Prentice Hall PTR (2000). https://books.google.pl/books?id=p492QgAACAAJ
Aho, A.V.: Algorithms for finding patterns in strings. In: van Leeuwen, J. (ed.) Handbook of Theoretical Computer Science, vol. A, pp. 255â300. MIT Press, Cambridge (1990)
Allemang, D., Hendler, J.: Semantic Web for the Working Ontologist: Effective Modeling in RDFS and OWL. Morgan Kaufmann Publishers Inc., San Francisco (2008)
Arabas, J.: WykĆady z algorytmĂłw ewolucyjnych. Wydawnictwo WNT, Warszawa (2004)
Ayodele, T.: Introduction to Machine Learning. INTECH Open Access Publisher (2010). http://books.google.pl/books?id=LqS_oAEACAAJ
Barbie, M., Puppe, C., Tasnadi, A.: Non-manipulable domains for the borda count. No. 13 in Bonn econ discussion papers (2003)
Bembenik, R., Skonieczny, Ć., RybiĆski, H., NiezgĂłdka, M. (eds.): Intelligent Tools for Building a Scientific Information Platform. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-35647-6
Bergmann, M.: An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems. Cambridge University Press (2008). http://www.amazon.com/Introduction-Many-Valued-Fuzzy-Logic-Derivation/dp/0521707579%3FSubscriptionId%3D0JYN1NVW651KCA56C102%26tag%3Dtechkie-20%26linkCode%3Dxm2%26camp%3D2025%26creative%3D165953%26creativeASIN%3D0521707579
Berry, M.J., Linoff, G.: Data Mining Techniques: For Marketing, Sales, and Customer Support. Wiley, New York (1997)
Berson, A., Smith, S.J.: Data Warehousing, Data Mining, and Olap, 1st edn. McGraw-Hill Inc., New York (1997)
Bishop, C.: Neural Networks for Pattern Recognition. Neural Networks for Pattern Recognition. Oxford University Press, Incorporated (1995). http://books.google.es/books?id=-aAwQO_-rXwC
Böhm, C., Berchtold, S., Keim, D.A.: Searching in high-dimensional spaces: index structures for improving the performance of multimedia databases. ACM Comput. Surv. 33(3), 322â373 (2001)
Brams, S.J., Fishburn, P.C.: Going from theory to practice: the mixed success of approval voting. Soc. Choice Welfare 25(2â3), 457â474 (2005)
Brun, M., et al.: Model-based evaluation of clustering validation measures. Pattern Recogn. 40(3), 807â824 (2007). http://www.sciencedirect.com/science/article/pii/S0031320306003104
BĂŒttcher, S., Clarke, C.L.A., Cormack, G.V.: Information Retrieval: Implementing and Evaluating Search Engines. MIT Press, Cambridge (2010). http://www.worldcat.org/title/information-retrieval-implementing-and-evaluating-search-engines/oclc/473652398?lang=de
CantĂș-Paz, E., Cheung, S.C.S., Kamath, C.: Retrieval of similar objects in simulation data using machine learning techniques. In: Image Processing: Algorithms and Systems, pp. 251â258 (2004)
Cornelis, C., Jensen, R., MartĂn, G.H., SlÈ©zak, D.: Attribute selection with fuzzy decision reducts. Inf. Sci. 180(2), 209â224 (2010). https://doi.org/10.1016/j.ins.2009.09.008
Cross, V., Yu, X., Hu, X.: Unifying ontological similarity measures: a theoretical and empirical investigation. Int. J. Approx. Reason. 54(7), 861â875 (2013)
Dasgupta, D., Michalewicz, Z.: Evolutionary Algorithms in Engineering Applications. Springer, Heidelberg (1997). https://doi.org/10.1007/978-3-662-03423-1. https://books.google.pl/books?id=6C09oNmYiAgC
Deb, S.: Multimedia Systems and Content-based Image Retrieval. Idea Group Publishing (2004). http://books.google.pl/books?id=GcO4HGbMi7UC
Elkind, E., Lang, J., Saffidine, A.: Choosing collectively optimal sets of alternatives based on the condorcet criterion. In: Walsh, T. (ed.) IJCAI, pp. 186â191. IJCAI/AAAI (2011). http://dblp.uni-trier.de/db/conf/ijcai/ijcai2011.html#ElkindLS11
Faliszewski, P., Hemaspaandra, E., Hemaspaandra, L.A.: Using complexity to protect elections. Commun. ACM 53(11), 74â82 (2010)
Fodora, J.C., Ovchinnikov, S.: On aggregation of T-transitive fuzzy binary relations. Fuzzy Sets Syst. 72(2), 135â145 (1995). http://www.sciencedirect.com/science/article/pii/0165011494003469
Fokina, E.B., Friedman, S.-D.: Equivalence relations on classes of computable structures. In: Ambos-Spies, K., Löwe, B., Merkle, W. (eds.) CiE 2009. LNCS, vol. 5635, pp. 198â207. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-03073-4_21
Goldberg, D.: Genetic Algorithms in Search, Optimization, and Machine Learning. Artificial Intelligence, Addison-Wesley (1989). http://books.google.pl/books?id=3_RQAAAAMAAJ
Gomolinska, A., Wolski, M.: Rough inclusion functions and similarity indices. In: CS&P, pp. 145â156 (2013)
Gruber, M.: Mastering SQL, 1st edn. SYBEX Inc., Alameda (2000)
Gupta, K., Gupta, R.: Fuzzy equivalence relation redefined. Fuzzy Sets Syst. 79(2), 227â233 (1996). http://www.sciencedirect.com/science/article/pii/0165011495001557
Gwiazda, T.: Algorytmy genetyczne: kompendium. Operator krzyĆŒowania dla problemĂłw numerycznych. No. t. 1, Wydawnictwo Naukowe PWN (2007). https://books.google.pl/books?id=16-JGgAACAAJ
Han, L., et al.: Firegrid: an e-infrastructure for next-generation emergency response support. J. Parallel Distrib. Comput. 70(11), 1128â1141 (2010)
Hegenbarth, F.: Examples of free involutions on manifolds. Math. Ann. 224(2), 117â128 (1976). https://doi.org/10.1007/BF01436193
ISO 31000 - Risk management (2009)
Iwata, T., Saito, K., Yamada, T.: Modeling user behavior in recommender systems based on maximum entropy. In: WWW, pp. 1281â1282 (2007)
Janusz, A., ĆlÈ©zak, D., Nguyen, H.S.: Unsupervised similarity learning from textual data. Fundam. Inform. 119(3â4), 319â336 (2012)
Kacprzyk, J.: Multistage Fuzzy Control: A Model-based Approach to Fuzzy Control and Decision Making. Wiley, Hoboken (2012)
Klement, E.P., Pap, E., Mesiar, R.: Triangular Norms. Kluwer Academic Publishers, Dordrecht (2000). http://opac.inria.fr/record=b1104736
Kolpakov, R., Raffinot, M.: Faster text fingerprinting. In: Amir, A., Turpin, A., Moffat, A. (eds.) SPIRE 2008. LNCS, vol. 5280, pp. 15â26. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-89097-3_4
Komorowski, J., Pawlak, Z., Polkowski, L., Skowron, A.: Rough sets: a tutorial (1998)
Koronacki, J., Mielniczuk, J.: Statistics: for students of technical and natural sciences (in polish). Wydawnictwa Naukowo-Techniczne (2001). http://books.google.pl/books?id=TI4NAQAACAAJ
KosiĆski, R.: Sztuczne sieci neuronowe: dynamika nieliniowa i chaos. Wydawnictwa Naukowo-Techniczne (2004). https://books.google.pl/books?id=BgmKtwAACAAJ
Krasuski, A., Jankowski, A., Skowron, A., ĆlÈ©zak, D.: From sensory data to decision making: a perspective on supporting a fire commander. In: Web Intelligence/IAT Workshops, pp. 229â236 (2013)
Krasuski, A., Janusz, A.: Semantic tagging of heterogeneous data: labeling fire & rescue incidents with threats. In: FedCSIS, pp. 77â82 (2013)
Kulikowski, J.L.: Toward computer-aided interpretation of situations. In: Burduk, R., Jackowski, K., Kurzynski, M., Wozniak, M., Zolnierek, A. (eds.) Proceedings of the 8th International Conference on Computer Recognition Systems CORES 2013. Advances in Intelligent Systems and Computing, vol. 226. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-319-00969-8_1
Levitin, G., Lisnianski, A.: Reliability optimization for weighted voting system. Rel. Eng. Sys. Saf. 71(2), 131â138 (2001)
Lin, X., Yacoub, S., Burns, J., Simske, S.: Performance analysis of pattern classifier combination by plurality voting. Pattern Recogn. Lett. 24(12), 1959â1969 (2003)
Luckham, D.: The Power of Events: an Introduction to Complex Event Processing in Distributed Enterprise Systems. The Power of Events: An Introduction to Complex Event Processing in Distributed Enterprise Systems, ADDISON WESLEY Publishing Company Incorporated (2002). http://books.google.es/books?id=AN1QAAAAMAAJ
MacParthalain, N., Jensen, R.: Simultaneous feature and instance selection using fuzzy-rough bireducts. In: FUZZ-IEEE 2013, IEEE International Conference on Fuzzy Systems, Hyderabad, India, 7â10 July 2013, Proceedings, pp. 1â8 (2013). http://dx.doi.org/10.1109/FUZZ-IEEE.2013.6622500
Maedche, A., Staab, S.: Comparing ontologies â similarity measures and a comparison study. Technical report, Institute AIFB, University of Karlsruhe, March 2001
Mallik, A., Chaudhury, S., Ghosh, H.: Nrityakosha: preserving the intangible heritage of indian classical dance. JOCCH 4(3), 11 (2011)
Malmstadt, H., Enke, C., Crouch, S.: Electronic Analog Measurements and Transducers: Instrumentation for Scientists Series 1. Analog Measurements and Transducers. Benjamin (1973). http://books.google.pl/books?id=U9XkSAAACAAJ
Marin, N., Medina, J.M., Pons, O., Sanchez, D., Vila, M.A.: Complex object comparison in a fuzzy context. Inf. Softw. Technol. 45, 431â444 (2003)
Mas, M., Monserrat, M., Torrens, J.: Modus ponens and modus tollens in discrete implications. Int. J. Approx. Reason. 49(2), 422â435 (2008). https://www.sciencedirect.com/science/article/pii/S0888613X08000637
McKelvey, R.D., Patty, J.W.: A theory of voting in large elections. Game Econ. Behav. 57(1), 155â180 (2006). https://www.sciencedirect.com/science/article/pii/S0899825606000698
Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs, 3rd edn. Springer-Verlag, London (1996). https://doi.org/10.1007/978-3-662-03315-9
Mitchell, T.M.: Machine Learning. McGraw Hill Series in Computer Science. McGraw-Hill, New York (1997)
Molodtsov, D.: Soft set theory - first results. Comput. Math. Appl. 37(4â5), 19â31 (1999). http://www.sciencedirect.com/science/article/pii/S0898122199000565
Navarro, G.: A guided tour to approximate string matching. ACM Comput. Surv. 33(1), 31â88 (2001). https://doi.org/10.1145/375360.375365
Nesenbergs, M., Mowery, V.O.: Logic synthesis of some high-speed digital comparators. Bell Syst. Tech. J. 38, 19â44 (1959)
Nguyen, S.H., Bazan, J., Skowron, A., Nguyen, H.S.: Layered learning for concept synthesis. LNCS Trans. Rough Sets 1(3100), 187â208 (2004)
Pal, S., Shiu, S.: Foundations of Soft Case-Based Reasoning. Wiley Series on Intelligent Systems, Wiley (2004). http://books.google.es/books?id=LqZkJ_snUiYC
Pawlak, Z.: On rough sets. Bull. EATCS 24, 94â108 (1984)
Pawlak, Z.: Rough set theory. KI 15(3), 38â39 (2001)
Pawlak, Z., Skowron, A.: Rough sets: some extensions. Inf. Sci. 177(1), 28â40 (2007)
Pedrycz, W., Skowron, A., Kreinovich, V.: Handbook of Granular Computing. Wiley (2008). http://books.google.fr/books?id=CpMrHqMPe2UC
Pekalska, E., Duin, R.P.W.: The Dissimilarity Representation for Pattern Recognition. Foundations and Applications (Machine Perception and Artificial Intelligence). World Scientific Publishing Co., River Edge (2005)
Peters, J.F.: Near sets: an introduction. Math. Comput. Sci. 7(1), 3â9 (2013)
Polkowski, L.: Approximate Reasoning by Parts: An Introduction to Rough Mereology. Intelligent Systems Reference Library. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22279-5
Polkowski, L., Artiemjew, P.: Granular Computing in Decision Approximation. ISRL, vol. 77. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-12880-1
Quackenbush, R.W.: On the composition of idempotent functions. Algebra Univers. 1(1), 7â12 (1971). http://dx.doi.org/10.1007/BF02944949
Rasmusen, E.: Games and Information: An Introduction to Game Theory. Blackwell (2001). https://books.google.pl/books?id=7ylayBG9sa4C
Rinaldi, A.M.: An ontology-driven approach for semantic information retrieval on the web. ACM Trans. Internet Technol. 9, 10:1â10:24 (2009). http://doi.acm.org/10.1145/1552291.1552293
Riza, L.S., et al.: Implementing algorithms of rough set theory and fuzzy rough set theory in the R package âroughsetsâ. Inf. Sci. 287, 68â89 (2014). http://dx.doi.org/10.1016/j.ins.2014.07.029
Rumbaugh, J., Jacobson, I., Booch, G.: Unified Modeling Language Reference Manual, 2nd edn. Pearson Higher Education, London (2004)
Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Neurocomputing: Foundations of Research. Learning Representations by Back-propagating Errors, pp. 696â699. MIT Press, Cambridge (1988). http://dl.acm.org/citation.cfm?id=65669.104451
Russ, J.: The Image Processing Handbook, 6th edn. Taylor & Francis, Abingdon-on-Thames (2011). http://books.google.pl/books?id=gxXXRJWfEsoC
Rutkowski, L.: Computational Intelligence: Methods and Techniques. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-76288-1. http://books.google.es/books?id=iRTGlFXt1lwC
Saari, D.G.: The Optimal Ranking Method is the Borda Count. Discussion Papers 638, Northwestern University, Center for Mathematical Studies in Economics and Management Science, January 1985. https://ideas.repec.org/p/nwu/cmsems/638.html
Saari, D.G., Merlin, V.R.: The Copeland Method. I: Relat. Dictionary 8, 51â76 (1996)
Schickel-Zuber, V., Faltings, B.: OSS: a semantic similarity function based on hierarchical ontologies. In: Proceedings of the 20th International Joint Conference on Artificial Intelligence, IJCAI 2007, pp. 551â556. Morgan Kaufmann Publishers Inc., San Francisco (2007). http://dl.acm.org/citation.cfm?id=1625275.1625363
Serpico, S., Bruzzone, L., Roli, F.: An experimental comparison of neural and statistical non-parametric algorithms for supervised classification of remote-sensing images. Pattern Recogn. Lett. 17(13), 1331â1341 (1996). http://www.sciencedirect.com/science/article/pii/S0167865596000906. Special Issue on Non-conventional Pattern Analysis in Remote Sensing
Shannon, C.E.: A mathematical theory of communication. The Bell Syst. Tech. J. 27, 379â423, 623â656 (July, October 1948). http://cm.bell-labs.com/cm/ms/what/shannonday/shannon1948.pdf
Skowron, A., Polkowski, L.: Rough mereological foundations for design, analysis, synthesis, and control in distributed systems. In: Proceedings The Second Joint Annual Conference on Information Sciences, Wrightsville Beach, NC, pp. 129â156 (1998)
ĆlÈ©zak, D., Sosnowski, Ć.: SQL-based compound object comparators: a case study of images stored in ICE. In: Kim, T., Kim, H.-K., Khan, M.K., Kiumi, A., Fang, W., ĆlÄzak, D. (eds.) ASEA 2010. CCIS, vol. 117, pp. 303â316. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-17578-7_30
ĆlÈ©zak, D.: Approximate reducts in decision tables. In: 6th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 1159â1164. Universidad de Granada (1996)
ĆlÈ©zak, D., Janusz, A.: Ensembles of bireducts: towards robust classification and simple representation. In: Kim, T., et al. (eds.) FGIT 2011. LNCS, vol. 7105, pp. 64â77. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-27142-7_9
ĆÈ©lzak, D., Szczuka, M.: Rough neural networks for complex concepts. In: An, A., Stefanowski, J., Ramanna, S., Butz, C.J., Pedrycz, W., Wang, G. (eds.) RSFDGrC 2007. LNCS (LNAI), vol. 4482, pp. 574â582. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-72530-5_69
Slowinski, R.: A generalization of the indiscernibility relation for rough set analysis of quantitative information. Riv. Matematica Economiche e Sociali 15(1), 65â78 (1992)
Smith, W.D.: Range voting (2000)
Sosnowski, Ć.: Identification with compound object comparators technical aspects. In: HoĆubiec, J. (ed.) Techniki informacyjne teoria i zastosowania, vol. 1, pp. 168â179. IBS PAN (2011)
Sosnowski, Ć.: Characters recognition based on network of comparators. In: MyĆliĆski, A. (ed.) Techniki informacyjne teoria i zastosowania, vol. 4, pp. 123â134. IBS PAN (2012)
Sosnowski, Ć.: Applications of comparators in data processing systems. Technical Transactions Automatic Control, pp. 81â98 (2013)
Sosnowski, Ć.: Framework of compound object comparators. Intell. Decis. Technol. 9(4), 343â363 (2015)
Sosnowski, Ć., Pietruszka, A., Krasuski, A., Janusz, A.: A resemblance based approach for recognition of risks at a fire ground. In: ĆlÈ©zak, D., Schaefer, G., Vuong, S.T., Kim, Y.-S. (eds.) AMT 2014. LNCS, vol. 8610, pp. 559â570. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-09912-5_47
Sosnowski, Ć., Pietruszka, A., Ćazowy, S.: Election algorithms applied to the global aggregation in networks of comparators. In: M. Ganzha, L., Maciaszek, M.P., (ed.), Proceedings of the 2014 Federated Conference on Computer Science and Information Systems. Annals of Computer Science and Information Systems, vol. 2, pp. 135â144. IEEE (2014). http://dx.doi.org/10.15439/2014F494
Sosnowski, Ć., ĆlÈ©zak, D.: Comparators for compound object identification. In: Kuznetsov, S.O., ĆlÄzak, D., Hepting, D.H., Mirkin, B.G. (eds.) RSFDGrC 2011. LNCS (LNAI), vol. 6743, pp. 342â349. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21881-1_53
Sosnowski, Ć., ĆlÈ©zak, D.: Learning in comparator networks. In: Kacprzyk, J., Szmidt, E., ZadroĆŒny, S., Atanassov, K.T., Krawczak, M. (eds.) IWIFSGN/EUSFLAT -2017. AISC, vol. 643, pp. 316â327. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-66827-7_29
Sosnowski, Ć., ĆlÈ©zak, D.: RDBMS framework for contour identification. In: Szczuka, M., Czaja, L., Skowron, A., Kacprzak, M. (eds.) CS&P, pp. 487â498. BiaĆystok University of Technology, PuĆtusk (2011). electronic edition
Sosnowski, Ć., ĆlÈ©zak, D.: How to design a network of comparators. In: Imamura, K., Usui, S., Shirao, T., Kasamatsu, T., Schwabe, L., Zhong, N. (eds.) BHI 2013. LNCS (LNAI), vol. 8211, pp. 389â398. Springer, Cham (2013). https://doi.org/10.1007/978-3-319-02753-1_39
Sosnowski, Ć., ĆlÈ©zak, D.: Networks of compound object comparators. In: FUZZ-IEEE, pp. 1â8 (2013)
Sosnowski, Ć., ĆlÈ©zak, D.: Fuzzy set interpretation of comparator networks. In: Kryszkiewicz, M., Bandyopadhyay, S., Rybinski, H., Pal, S.K. (eds.) PReMI 2015. LNCS, vol. 9124, pp. 345â353. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-19941-2_33
Sosnowski, L., Szczuka, M.S.: Recognition of compound objects based on network of comparators. In: Proceedings of FedCSIS 2016, Position Papers, pp. 33â40 (2016)
Staab, S., Maedche, A.: Knowledge portals: ontologies at work. AI Mag. 22(2), 63â75 (2001)
Stahl, A., Gabel, T.: Using evolution programs to learn local similarity measures. In: Ashley, K.D., Bridge, D.G. (eds.) ICCBR 2003. LNCS (LNAI), vol. 2689, pp. 537â551. Springer, Heidelberg (2003). https://doi.org/10.1007/3-540-45006-8_41
Sundaram, N., et al.: Streaming similarity search over one billion tweets using parallel locality-sensitive hashing. PVLDB 6(14), 1930â1941 (2013)
Szczuka, M., ĆlÈ©zak, D.: Feedforward neural networks for compound signals. Theoret. Comput. Sci. 412(42), 5960â5973 (2011)
Szczuka, M.: The use of rough set methods in knowledge discovery in databases. In: Kuznetsov, S.O., ĆlÈ©zak, D., Hepting, D.H., Mirkin, B.G. (eds.) RSFDGrC 2011. LNCS (LNAI), vol. 6743, pp. 28â30. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21881-1_6
Szczuka, M.S., Sosnowski, Ć., Krasuski, A., KreĆski, K.: Using domain knowledge in initial stages of KDD: optimization of compound object processing. Fundam. Inform. 129(4), 341â364 (2014)
Tho, D.: Perceptron Problem in Neural Network. GRIN Verlag (2010). https://books.google.pl/books?id=eLWmQfpgansC
Tietze, U., Schenk, C., Gamm, E.: Electronic Circuits. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-78655-9. http://books.google.pl/books?id=NB5GAQAAIAAJ
Turksen, I.: Interval valued fuzzy sets based on normal forms. Fuzzy Sets Syst. 20(2), 191â210 (1986). http://www.sciencedirect.com/science/article/pii/0165011486900771
Tversky, A., Shafir, E.: Preference, Belief, and Similarity: Selected Writings. MIT Press, Cambridge (2004)
Wilkinson, B.: The Essence of Digital Design. Essence of Engineering. Prentice Hall, Upper Saddle River (1998). http://books.google.es/books?id=-BNTAAAAMAAJ
Yager, R.R., Filev, D.: Summarizing data using a similarity based mountain method. Inf. Sci. 178(3), 816â826 (2008)
Yang, X., Lin, T.Y., Yang, J., Li, Y., Yu, D.: Combination of interval-valued fuzzy set and soft set. Comput. Math. Appl. 58(3), 521â527 (2009). http://www.sciencedirect.com/science/article/pii/S0898122109003228
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. J. Inf. Sci. 8(3), 199â249 (1975)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338â353 (1965)
Zadeh, L.A.: Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst. 90(2), 111â127 (1997)
Zadeh, L.A.: Computing with Words - Principal Concepts and Ideas. Studies in Fuzziness and Soft Computing, vol. 277. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-27473-2
Zadeh, P.D.H., Reformat, M.: Feature-based similarity assessment in ontology using fuzzy set theory. In: FUZZ-IEEE, pp. 1â7 (2012)
Zhao, Y., Luo, F., Wong, S.K.M., Yao, Y.: A general definition of an attribute reduct. In: Yao, J.T., Lingras, P., Wu, W.-Z., Szczuka, M., Cercone, N.J., ĆlÄzak, D. (eds.) RSKT 2007. LNCS (LNAI), vol. 4481, pp. 101â108. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-72458-2_12
Zhou, J., Pedrycz, W., Miao, D.: Shadowed sets in the characterization of rough-fuzzy clustering. Pattern Recogn. 44(8), 1738â1749 (2011). http://dx.doi.org/10.1016/j.patcog.2011.01.014
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer-Verlag GmbH Germany, part of Springer Nature
About this chapter
Cite this chapter
Sosnowski, Ć. (2019). Compound Objects Comparators in Application to Similarity Detection and Object Recognition. In: Peters, J., Skowron, A. (eds) Transactions on Rough Sets XXI. Lecture Notes in Computer Science(), vol 10810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58768-3_6
Download citation
DOI: https://doi.org/10.1007/978-3-662-58768-3_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-58767-6
Online ISBN: 978-3-662-58768-3
eBook Packages: Computer ScienceComputer Science (R0)