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Soft Computing
Erschienen in: Soft Computing 24/2019

05.08.2019 | Foundations

Information structures and uncertainty measures in a hybrid information system with images

verfasst von: Guangji Yu

Erschienen in: Soft Computing | Ausgabe 24/2019

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Abstract

This paper detects information structures and uncertainty measures in a hybrid information system with images. New hybrid distance in a hybrid information system with images is first developed. Then, the fuzzy \(T_{\mathrm{cos}}\)-equivalence relation, induced by this system by using Gaussian kernel, is obtained, where Gaussian kernel is founded on this new hybrid distance. Next, information structures of this system are described by set vectors, and dependence between information structures is studied by using inclusion degree. Finally, uncertainty measures of a hybrid information system with images are investigated by means of its information structures. These results will be helpful to establish a configuration of granular computing and understand the essence of uncertainty in a hybrid information system with images.
Vorheriger Artikel The properties of -filters of a topological system
Nächster Artikel Fuzzified group actions

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Literatur
Beaubouef T, Petry FE (2000) Fuzzy rough set techniques for uncertainty processing in a relational database. Int J Intell Syst 15:389–424MATH
Beaubouef T, Petry FE, Arora G (1998) Information-theoretic measures of uncertainty for rough sets and rough relational databases. Inf Sci 109:185–195
Bianucci D, Cattaneo G (2009) Information entropy and granulation co-entropy of partitions and coverings: a summary. Trans Rough Sets 10:15–66MATH
Bianucci D, Cattaneo G, Ciucci D (2007) Entropies and co–entropies of coverings with application to incomplete information systems. Fundam Inform 75:77–105MathSciNetMATH
Blaszczynski J, Slowinski R, Szelag M (2011) Sequential covering rule induction algorithm for variable consistency rough set approaches. Inf Sci 181(5):987–1002MathSciNet
Cament LA, Castillo LE, Perez JP, Galdames FJ, Perez CA (2014) Fusion of local normalization and Gabor entropy weighted features for face identification. Pattern Recognit 47(2):568–577
Cornelis C, Jensen R, Martin GH, Slezak D (2010) Attribute selection with fuzzy decision reducts. Inf Sci 180:209–224MathSciNetMATH
Dai J, Tian H (2013) Entropy measures and granularity measures for set-valued information systems. Inf Sci 240:72–82MathSciNetMATH
Dai J, Wang W, Xu Q, Tian H (2012) Uncertainty measurement for interval-valued decision systems based on extended conditional entropy. Knowl Based Syst 27:443–450
Dai JH, Wang WT, Mi JS (2013) Uncertainty measurement for interval-valued information systems. Inf Sci 251:63–78MathSciNetMATH
Delgado A, Romero I (2016) Environmental conflict analysis using an integrated grey clustering and entropy-weight method: a case study of a mining project in Peru. Environ Model Softw 77:108–121
Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17(2–3):191–209MATH
Duntsch I, Gediga G (1998) Uncertainty measures of rough set prediction. Artif Intell 106:109–137MathSciNetMATH
Greco S, Inuiguchi M, Slowinski R (2006) Fuzzy rough sets and multiple-premise gradual decision rules. Int J Approx Reason 41:179–211MathSciNetMATH
Gu B, Sheng VS, Wang ZJ, Ho D, Osman S (2015) Incremental learning for v-support vector regression. Neural Netw 67:140–150MATH
Hempelmann CF, Sakoglu U, Gurupur VP, Jampana S (2016) An entropy-based evaluation method for knowledge bases of medical information systems. Expert Syst Appl 46:262–273
Hu QH, Xie ZX, Yu DR (2007) Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recognit 40:3509–3521MATH
Hu QH, Pedrycz W, Yu DR, Lang J (2010) Selecting discrete and continuous features based on neighborhood decision error minimization. IEEE Trans Syst Man Cybern (Part B) 40:137–150
Hu QH, Zhang L, Chen DG, Pedrycz W, Yu DR (2010) Gaussian kernel based fuzzy rough sets: model, uncertainty measures and applications. Int J Approx Reason 51:453–471MATH
Li CR, Duan GD, Zhong FJ (2015) Rotation invariant texture retrieval considering the scale dependence of Gabor wavelet. IEEE Trans Image Process 24(8):2344–2354MathSciNetMATH
Liang JY, Qu KS (2002) Information measures of roughness of knowledge and rough sets for information systems. J Syst Sci Syst Eng 10:95–103
Liang JY, Shi ZZ (2004) The information entropy, rough entropy and knowledge granulation in rough set theory. Int J Uncertain Fuzziness Knowl Based Syst 12:37–46MathSciNetMATH
Liang JY, Shi ZZ, Li DY, Wierman MJ (2006) The information entropy, rough entropy and knowledge granulation in incomplete information systems. Int J Gen Syst 35:641–654MathSciNetMATH
Lin TY (1998) Granular computing on binary relations I: data mining and neighborhood systems. In: Skowron A, Polkowski L (eds) Rough sets in knowledge discovery. Physica, Heidelberg, pp 107–121
Lin TY (1998) Granular computing on binary relations II: rough set representations and belief functions. In: Skowron A, Polkowski L (eds) Rough sets in knowledge discovery. Physica, Heidelberg, pp 121–140
Lin TY (1999) Granular computing: fuzzy logic and rough sets. In: Zadeh LA, Kacprzyk J (eds) Computing with words in information intelligent systems. Physica, Heidelberg, pp 183–200
Ma J, Zhang W, Leung Y, Song X (2007) Granular computing and dual Galois connection. Inf Sci 177:5365–5377MathSciNetMATH
Mi JS, Leung Y, Wu WZ (2005) An uncertainty measure in partition-based fuzzy rough sets. Int J Gen Syst 34:77–90MathSciNetMATH
Moser B (2006) On representing and generating kernels by fuzzy equivalence relations. J Mach Learn Res 7:2603–2630MathSciNetMATH
Navarrete J, Viejo D, Cazorla M (2016) Color smoothing for RGB-D data using entropy information. Appl Soft Comput 46:361–380
Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:341–356MATH
Pawlak Z (1991) Rough sets: theoretical aspects of reasoning about data. Kluwer Academic Publishers, DordrechtMATH
Qian YH, Liang JY, Wu WZ, Dang CY (2009) Knowledge structure, knowledge granulation and knowledge distance in a knowledge base. Int J Approx Reason 50:174–188MathSciNetMATH
Qian YH, Liang JY, Pedrycz W, Dang CY (2010) An accelerator for attribute reduction in rough set theory. Artif Intell 174:597–618MathSciNetMATH
Qian YH, Liang JY, Wu WZ, Dang CY (2011) Information granularity in fuzzy binary GRC model. IEEE Trans Fuzzy Syst 19(2):253–264
Shawe-Tayor J, Cristianini N (2004) Kernel methods for pattern analysis. Cambridge University Press, Cambridge
Swiniarski RW, Skowron A (2003) Rough set methods in feature selection and recognition. Pattern Recognit Lett 24:833–849MATH
Thangavel S, Pethalakshmi A (2009) Dimensionality reduction based on rough set theory: a review. Appl Soft Comput 9:1–12
Wang XZ, Tsang ECC, Zhao SY, Chen DG, Yeung DS (2007) Learning fuzzy rules from fuzzy samples based on rough set technique. Inf Sci 177:4493–4514MathSciNetMATH
Wu WZ, Leung Y, Mi J (2009) Granular computing and knowledge reduction in formal contexts. IEEE Trans Knowl Data Eng 21(10):1461–1474
Xie SD, Wang YX (2014) Construction of tree network with limited delivery latency in homogeneous wireless sensor networks. Wirel Pers Commun 78(1):231–246
Yang S, Yan S, Zhang C et al (2007) Bilinear analysis for kernel selection and nonlinear feature extraction. IEEE Trans Neural Netw 8:1442–1452
Yao YY (1998) Relational interpretations of neighborhood operators and rough set approximation operators. Inf Sci 111:239–259MathSciNetMATH
Yao YY (2001) Information granulation and rough set approximation. Int J Intell Syst 16:87–104MATH
Yao YY (2003) Probabilistic approaches to rough sets. Expert Syst 20:287–297
Zadeh LA (1996) Fuzzy logic equals computing with words. Fuzzy Syst IEEE Trans 4(2):103–111
Zadeh LA (1997) Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets Syst 90:111–127MathSciNetMATH
Zadeh LA (1998) Some reflections on soft computing, granular computing and their roles in the conception, design and utilization of information intelligent systems. Soft Comput 2:23–25
Zadeh LA (2001) A new direction in AI-toward a computational theory of perceptions. AI Mag 22(1):73–84MATH
Zeng AP, Li TR, Liu D, Zhang JB, Chen HM (2015) A fuzzy rough set approach for incremental feature selection on hybrid information systems. Fuzzy Sets Syst 258:39–60MathSciNetMATH
Zeng AP, Li TR, Hu J, Chen HM, Luo C (2017) Dynamical updating fuzzy rough approximations for hybrid data under the variation of attribute values. Inf Sci 378:363–388MathSciNet
Zhang WX, Qiu GF (2005) Uncertain decision making based on rough sets. Tsinghua University Publishers, Beijing
Zhang L, Zhang B (2007) Theory and application of problem solving-theory and application of granular computing in quotient spaces. Tsinghua University Publishers, Beijing
Zhang GQ, Li ZW, Wu WZ, Liu XF, Xie NX (2018) Information structures and uncertainty measures in a fully fuzzy information system. Int J Approx Reason 101:119–149MathSciNetMATH
Metadaten
Titel
Information structures and uncertainty measures in a hybrid information system with images
verfasst von
Guangji Yu
Publikationsdatum
05.08.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 24/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-04259-x

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