메뉴 건너뛰기




Volumn 179, Issue 18, 2009, Pages 3091-3109

Foundations of near sets

Author keywords

Affinities; Image analysis; Near set; Perceptual system; Slash lattice

Indexed keywords

AFFINITIES; FORMAL FOUNDATION; NEAR SET; PERCEPTUAL INFORMATION; PERCEPTUAL OBJECTS; PERCEPTUAL SYSTEM; PHYSICAL WORLD; SLASH LATTICE; STEPPING STONE;

EID: 67649791986     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2009.04.018     Document Type: Article
Times cited : (106)

References (71)
  • 2
    • 0001226619 scopus 로고
    • Geometry of proximities 1
    • (in Russian)
    • Efremovič V. Geometry of proximities 1. Mat. Sb. 31 73 (1952) 189-200 (in Russian)
    • (1952) Mat. Sb. , vol.31 , Issue.73 , pp. 189-200
    • Efremovič, V.1
  • 4
    • 67649815576 scopus 로고
    • Proximity approach to semi-metric and developable spaces
    • Gagrat M., and Naimpally S. Proximity approach to semi-metric and developable spaces. Pacific J. Math. 44 1 (1973) 93-105
    • (1973) Pacific J. Math. , vol.44 , Issue.1 , pp. 93-105
    • Gagrat, M.1    Naimpally, S.2
  • 7
    • 67649832221 scopus 로고    scopus 로고
    • personal communication
    • G. Grätzer, personal communication, 2008.
    • (2008)
    • Grätzer, G.1
  • 8
    • 0000365136 scopus 로고
    • A lattice construction and congruence-preserving extension
    • Grätzer G., and Schmidt E. A lattice construction and congruence-preserving extension. Acta Math. Hungarica 66 (1995) 275-288
    • (1995) Acta Math. Hungarica , vol.66 , pp. 275-288
    • Grätzer, G.1    Schmidt, E.2
  • 9
    • 66749114622 scopus 로고    scopus 로고
    • Enhancing performance of face recognition systems by using near set approach for selecting facial features
    • Gupta S., and Patnaik K. Enhancing performance of face recognition systems by using near set approach for selecting facial features. J. Theor. Appl. Inform. Technol. 4 5 (2008) 433-441
    • (2008) J. Theor. Appl. Inform. Technol. , vol.4 , Issue.5 , pp. 433-441
    • Gupta, S.1    Patnaik, K.2
  • 11
    • 34250950477 scopus 로고
    • Dimension und äusseres mass
    • Hausdorff F. Dimension und äusseres mass. Math. Ann. 79 (1919) 157-179
    • (1919) Math. Ann. , vol.79 , pp. 157-179
    • Hausdorff, F.1
  • 12
    • 38049020510 scopus 로고    scopus 로고
    • Image pattern recognition using approximation spaces and near sets
    • Proc. 11th Int. Conf. Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2007, Joint Rough Set Symposium JRS, Heidelberg, Germany
    • C. Henry, J. Peters, Image pattern recognition using approximation spaces and near sets, in: Proc. 11th Int. Conf. Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2007), Joint Rough Set Symposium (JRS 2007), Lecture Notes in Artificial Intelligence 4482, Heidelberg, Germany, 2007, pp. 475-482.
    • (2007) Lecture Notes in Artificial Intelligence , vol.4482 , pp. 475-482
    • Henry, C.1    Peters, J.2
  • 14
    • 67649824310 scopus 로고    scopus 로고
    • C. Henry, J. Peters, Perception-based image analysis, Int. J. Bio-Inspired Computation 2 (2) 2009, in press, doi:10.1109/TITB.2009.2017017.
    • C. Henry, J. Peters, Perception-based image analysis, Int. J. Bio-Inspired Computation 2 (2) 2009, in press, doi:10.1109/TITB.2009.2017017.
  • 15
    • 54249162267 scopus 로고    scopus 로고
    • Adaptive image retrival based on the special organization of colors
    • Hurtut T., Gousseau Y., and Schmitt F. Adaptive image retrival based on the special organization of colors. Comput. Vision Image Understand. 112 (2008) 101-113
    • (2008) Comput. Vision Image Understand. , vol.112 , pp. 101-113
    • Hurtut, T.1    Gousseau, Y.2    Schmitt, F.3
  • 17
    • 0142112350 scopus 로고    scopus 로고
    • Kropatsch W.G., and Bischof H. (Eds), Springer, Berlin
    • In: Kropatsch W.G., and Bischof H. (Eds). Digital Image Analysis (2001), Springer, Berlin
    • (2001) Digital Image Analysis
  • 18
    • 0004279221 scopus 로고
    • North-Holland, The Netherlands
    • Kunen K. Set Theory (1980), North-Holland, The Netherlands
    • (1980) Set Theory
    • Kunen, K.1
  • 19
    • 0004418012 scopus 로고
    • Grundznge eines neuen systems der grundlagen der mathematik
    • Leśniewski S. Grundznge eines neuen systems der grundlagen der mathematik. Fundam. Math. 14 (1929) 242-251
    • (1929) Fundam. Math. , vol.14 , pp. 242-251
    • Leśniewski, S.1
  • 20
    • 25444528523 scopus 로고
    • Kluwer Academic Publishers, Dordrecht
    • Leśniewski S. Collected Works (1992), Kluwer Academic Publishers, Dordrecht
    • (1992) Collected Works
    • Leśniewski, S.1
  • 22
    • 84976669069 scopus 로고
    • On databases with incomplete information
    • Lipski W. On databases with incomplete information. J. ACM 28 (1981) 41-70
    • (1981) J. ACM , vol.28 , pp. 41-70
    • Lipski, W.1
  • 23
    • 0003845961 scopus 로고
    • The MacMillan Company, New York
    • MacLane S., and Birkhoff G. Algebra (1967), The MacMillan Company, New York
    • (1967) Algebra
    • MacLane, S.1    Birkhoff, G.2
  • 24
    • 0000625873 scopus 로고
    • On tests and measures of group divergence i. theoretical formulae
    • Mahalanobis P. On tests and measures of group divergence i. theoretical formulae. J. Proc. Asiat. Soc. Bengal 26 (1930) 541-588
    • (1930) J. Proc. Asiat. Soc. Bengal , vol.26 , pp. 541-588
    • Mahalanobis, P.1
  • 27
    • 0004221441 scopus 로고
    • Colin Smith, Trans, Smith, Gallimard, Paris and Routledge & Kegan Paul, Paris, New York, Original work published 1945
    • M. Merleau-Ponty, Phenomenology of Perception (Colin Smith, Trans.), Smith, Gallimard, Paris and Routledge & Kegan Paul, Paris, New York, 1965 (Original work published 1945).
    • (1965) Phenomenology of Perception
    • Merleau-Ponty, M.1
  • 30
    • 37249021698 scopus 로고
    • Representation of nondeterministic information
    • Orłowska E., and Pawlak Z. Representation of nondeterministic information. Theor. Comput. Sci. 29 (1984) 27-39
    • (1984) Theor. Comput. Sci. , vol.29 , pp. 27-39
    • Orłowska, E.1    Pawlak, Z.2
  • 31
    • 67649832219 scopus 로고    scopus 로고
    • E. Orłowska, Semantics of vague concepts. applications of rough sets, Polish Academy of Sciences 469, in: G. Dorn, P. Weingartner (Eds.), Foundations of Logic and Linguistics. Problems and Solutions, Plenum Press, London/New York, 1985, pp.465-482.
    • E. Orłowska, Semantics of vague concepts. applications of rough sets, Polish Academy of Sciences 469, in: G. Dorn, P. Weingartner (Eds.), Foundations of Logic and Linguistics. Problems and Solutions, Plenum Press, London/New York, 1985, pp.465-482.
  • 33
    • 0026226855 scopus 로고
    • Entropy: a new definition and its applications
    • Pal N.R., and Pal S.K. Entropy: a new definition and its applications. IEEE Trans. Syst. Man Cybern. 21 5 (1991) 1260-1270
    • (1991) IEEE Trans. Syst. Man Cybern. , vol.21 , Issue.5 , pp. 1260-1270
    • Pal, N.R.1    Pal, S.K.2
  • 37
    • 33749668975 scopus 로고    scopus 로고
    • Rough sets and Boolean reasoning
    • Pawlak Z., and Skowron A. Rough sets and Boolean reasoning. Inform. Sci. 177 (2007) 41-73
    • (2007) Inform. Sci. , vol.177 , pp. 41-73
    • Pawlak, Z.1    Skowron, A.2
  • 38
    • 33749667344 scopus 로고    scopus 로고
    • Rough sets: some extensions
    • Pawlak Z., and Skowron A. Rough sets: some extensions. Inform. Sci. 177 (2007) 28-40
    • (2007) Inform. Sci. , vol.177 , pp. 28-40
    • Pawlak, Z.1    Skowron, A.2
  • 39
    • 33749680310 scopus 로고    scopus 로고
    • Rudiments of rough sets
    • Pawlak Z., and Skowron A. Rudiments of rough sets. Inform. Sci. 177 (2007) 3-27
    • (2007) Inform. Sci. , vol.177 , pp. 3-27
    • Pawlak, Z.1    Skowron, A.2
  • 43
    • 26944467801 scopus 로고    scopus 로고
    • Some issues on rough sets
    • Pawlak Z. Some issues on rough sets. Trans. Rough Sets 21 (2004) 1-58
    • (2004) Trans. Rough Sets , vol.21 , pp. 1-58
    • Pawlak, Z.1
  • 44
    • 46149105571 scopus 로고    scopus 로고
    • Biologically-inspired approximate adaptive learning control strategies: a rough set approach
    • Peters J., Henry C., and Gunderson D. Biologically-inspired approximate adaptive learning control strategies: a rough set approach. Int. J. Hybrid Intell. Syst. 4 (2006) 1-14
    • (2006) Int. J. Hybrid Intell. Syst. , vol.4 , pp. 1-14
    • Peters, J.1    Henry, C.2    Gunderson, D.3
  • 45
    • 33745163231 scopus 로고    scopus 로고
    • Reinforcement learning with approximation spaces
    • Peters J., and Henry C. Reinforcement learning with approximation spaces. Fundam. Inform. 71 2-3 (2009) 323-349
    • (2009) Fundam. Inform. , vol.71 , Issue.2-3 , pp. 323-349
    • Peters, J.1    Henry, C.2
  • 47
    • 58149374163 scopus 로고    scopus 로고
    • Affinities between perceptual granules: Foundations and perspectives
    • A. Bargiela, W. Pedrycz Eds, Springer-Verlag, Berlin
    • J. Peters, S. Ramanna, Affinities between perceptual granules: foundations and perspectives, in: A. Bargiela, W. Pedrycz (Eds.), Human-Centric Information Processing Through Granular Modelling SCI 182, Springer-Verlag, Berlin, 2009, pp. 49-66.
    • (2009) Human-Centric Information Processing Through Granular Modelling SCI , vol.182 , pp. 49-66
    • Peters, J.1    Ramanna, S.2
  • 50
    • 34548629407 scopus 로고    scopus 로고
    • Nearness of objects: extension of approximation space model
    • Peters J., Skowron A., and Stepaniuk J. Nearness of objects: extension of approximation space model. Fundam. Inform. 79 3-4 (2007) 497-512
    • (2007) Fundam. Inform. , vol.79 , Issue.3-4 , pp. 497-512
    • Peters, J.1    Skowron, A.2    Stepaniuk, J.3
  • 51
    • 34548834976 scopus 로고    scopus 로고
    • J. Peters, Classification of objects by means of features, in: Proceedings of the IEEE Symposium Series on Foundations of Computational Intelligence (IEEE SCCI 2007), Honolulu, Hawaii, 2007.
    • J. Peters, Classification of objects by means of features, in: Proceedings of the IEEE Symposium Series on Foundations of Computational Intelligence (IEEE SCCI 2007), Honolulu, Hawaii, 2007.
  • 52
    • 44649203332 scopus 로고    scopus 로고
    • Near sets, general theory about nearness of objects
    • Peters J. Near sets, general theory about nearness of objects. Appl. Math. Sci. 1 53 (2007) 2029-2609
    • (2007) Appl. Math. Sci. , vol.1 , Issue.53 , pp. 2029-2609
    • Peters, J.1
  • 53
    • 33847707977 scopus 로고    scopus 로고
    • Near sets, special theory about nearness of objects
    • Peters J. Near sets, special theory about nearness of objects. Fundam. Inform. 75 1-4 (2007) 407-433
    • (2007) Fundam. Inform. , vol.75 , Issue.1-4 , pp. 407-433
    • Peters, J.1
  • 54
    • 50949091229 scopus 로고    scopus 로고
    • Classification of perceptual objects by means of features
    • Peters J. Classification of perceptual objects by means of features. Int. J. Info. Technol. Intell. Comput. 3 2 (2008) 1-35
    • (2008) Int. J. Info. Technol. Intell. Comput. , vol.3 , Issue.2 , pp. 1-35
    • Peters, J.1
  • 55
    • 70449692543 scopus 로고    scopus 로고
    • Tolerance near sets and image correspondence
    • Peters J. Tolerance near sets and image correspondence. Int. J. Bio-Inspired Comput. 1 4 (2008) 239-245
    • (2008) Int. J. Bio-Inspired Comput. , vol.1 , Issue.4 , pp. 239-245
    • Peters, J.1
  • 56
    • 84885456169 scopus 로고    scopus 로고
    • Approximation and perception in ethology-based reinforcement learning
    • Pedrycz W., Skowron A., and Kreinovich V. (Eds), Wiley, New York
    • Peters J. Approximation and perception in ethology-based reinforcement learning. In: Pedrycz W., Skowron A., and Kreinovich V. (Eds). Handbook on Granular Computing (2009), Wiley, New York 671-688
    • (2009) Handbook on Granular Computing , pp. 671-688
    • Peters, J.1
  • 58
    • 67649757728 scopus 로고    scopus 로고
    • H. Poicaré, Mathematics and Science: Last Essays (J.W. Bolduc, Trans.), Kessinger Publishers, New York, 1913.
    • H. Poicaré, Mathematics and Science: Last Essays (J.W. Bolduc, Trans.), Kessinger Publishers, New York, 1913.
  • 59
    • 0000494080 scopus 로고    scopus 로고
    • Rough mereology: a new paradigm for approximate reasoning
    • Polkowski L., and Skowron A. Rough mereology: a new paradigm for approximate reasoning. Int. J. Approx. Reason. 15 4 (1997) 333-365
    • (1997) Int. J. Approx. Reason. , vol.15 , Issue.4 , pp. 333-365
    • Polkowski, L.1    Skowron, A.2
  • 61
    • 38349060700 scopus 로고    scopus 로고
    • Adaptive edge detection method for images
    • Puzio L., and Walczak A. Adaptive edge detection method for images. Opto-Elect. Rev. 16 1 (2008) 60-67
    • (2008) Opto-Elect. Rev. , vol.16 , Issue.1 , pp. 60-67
    • Puzio, L.1    Walczak, A.2
  • 62
    • 0032663328 scopus 로고    scopus 로고
    • Filtering for texture classification: a comparative study
    • Randen T., and Husoy J. Filtering for texture classification: a comparative study. IEEE Trans. Pattern Anal. Mach. Intell. 21 4 (1999) 291-310
    • (1999) IEEE Trans. Pattern Anal. Mach. Intell. , vol.21 , Issue.4 , pp. 291-310
    • Randen, T.1    Husoy, J.2
  • 63
    • 0004122682 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Rogers C. Hausdorff Measures (1970), Cambridge University Press, Cambridge, UK
    • (1970) Hausdorff Measures
    • Rogers, C.1
  • 66
    • 67649808322 scopus 로고    scopus 로고
    • D. Ślȩzak, Approximate Decision Reducts (in Polish), Ph.D. Thesis, Institute of Mathematics, 2002.
    • D. Ślȩzak, Approximate Decision Reducts (in Polish), Ph.D. Thesis, Institute of Mathematics, 2002.
  • 68
    • 0018200258 scopus 로고
    • Textural features corresponding to visual perception
    • Tamura H., Mori S., and Yamawaki T. Textural features corresponding to visual perception. IEEE Trans. Syst. Man Cybern. 8 6 (1978) 460-473
    • (1978) IEEE Trans. Syst. Man Cybern. , vol.8 , Issue.6 , pp. 460-473
    • Tamura, H.1    Mori, S.2    Yamawaki, T.3
  • 69
    • 0009294310 scopus 로고
    • Zur grundlegung der Booleschen algebra. i
    • Tarski A. Zur grundlegung der Booleschen algebra. i. Fundam. Math. 24 (1935) 177-198
    • (1935) Fundam. Math. , vol.24 , pp. 177-198
    • Tarski, A.1
  • 70
    • 0004213353 scopus 로고
    • On the foundations of the Boolean algebra A. Tarski, Trans, Papers from 1923 to 1938, Clarendon Press, Oxford
    • A. Tarski, On the foundations of the Boolean algebra (A. Tarski, Eng. Trans.), in: Logics, Semantics, Metamathematics, Papers from 1923 to 1938, Clarendon Press, Oxford, 1956.
    • (1956) Logics, Semantics, Metamathematics
    • Tarski, A.1
  • 71
    • 0029409269 scopus 로고
    • Texture classification and segmentation using wavelet frames
    • Unser M. Texture classification and segmentation using wavelet frames. IEEE Trans. Image Process. 4 11 (1995) 1549-1560
    • (1995) IEEE Trans. Image Process. , vol.4 , Issue.11 , pp. 1549-1560
    • Unser, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.