Dilation and erosion of spatial bipolar fuzzy sets

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4578 LNAI, Issue , 2007, Pages 385-393

  Bloch, Isabelle ^a  

^a INSTITUT TELECOM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EROSION; INFORMATION ANALYSIS; MATHEMATICAL MORPHOLOGY;

BIPOLAR FUZZY SETS; SPATIAL DOMAIN;

FUZZY SETS;

EID: 37249021406     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73400-0_49     Document Type: Conference Paper

References (19)

1. Dubois, D., Kaci, S., Prade, H.: Bipolarity in Reasoning and Decision, an Introduction. In: International Conference on Information Processing and Management of Uncertainty, IPMU'04, Perugia, Italy, pp. 959-966 (2004)
2. Cacioppo, J.T., Gardner, W.L., Berntson, G.G.: Beyond Bipolar Conceptualization and Measures: The Case of Attitudes and Evaluative Space. Personality and Social Psychology Review 1, 3-25 (1997)
3. Atanassov, K.T.: Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems 20, 87-96 (1986)
4. Zadeh, L.A.: The Concept of a Linguistic Variable and its Application to Approximate Reasoning. Information Sciences 8, 199-249 (1975)
5. Dubois, D., Gottwald, S., Hajek, P., Kacprzyk, J., Prade, H.: Terminology Difficulties in Fuzzy Set Theory - The Case of "Intuitionistic Fuzzy Sets". Fuzzy Sets and Systems 156, 485-491 (2005)
6. Bustince, H., Burillo, P.: Vague Sets are Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems 79, 403-405 (1996)
7. Bloch, I.: Fuzzy Relative Position between Objects in Image Processing: a Morphological Approach. IEEE Transactions on Pattern Analysis and Machine Intelligence 21, 657-664 (1999)
8. Serra, J,: Image Analysis and Mathematical Morphology. Academic Press, London (1982)
9. Atanassov, K.T., Dubois, D., Gottwald, S., Hajek, P., Kacprzyk, J., Prade's papers, H.: Terminology Difficulties in Fuzzy Set Theory - The Case of "Intuitionistic Fuzzy Sets". Fuzzy Sets and Systems 156, 496-499 (2005)
10. Cornelis, C., Kerre, E.: Inclusion Measures in Intuitionistic Fuzzy Sets. In: Nielsen, T.D., Zhang, N.L. (eds.) ECSQARU 2003. LNCS (LNAI), vol. 2711, pp. 345-356. Springer, Heidelberg (2003)
11. Heijmans, H.J.A.M., Ronse, C.: The Algebraic Basis of Mathematical Morphology - Part I: Dilations and Erosions. Computer Vision, Graphics and Image Processing 50, 245-295 (1990)
12. Bloch, I., Maître, H.: Fuzzy Mathematical Morphologies: A Comparative Study. Pattern Recognition 28, 1341-1387 (1995)
13. Sinha, D., Dougherty, E.R.: Fuzzification of Set Inclusion: Theory and Applications. Fuzzy Sets and Systems 55, 15-42 (1993)
14. de Baets, B.: Fuzzy Morphology: a Logical Approach. In: Ayyub, B., Gupta, M. (eds.) Uncertainty in Engineering and Sciences: Fuzzy Logic, Statistics and Neural Network Approach, pp. 53-67. Kluwer Academic, Boston, MA (1997)
15. Nachtegael, M., Kerre, E.E.: Classical and Fuzzy Approaches towards Mathematical Morphology. In: Kerre, E.E., Nachtegael, M. (eds.) Fuzzy Techniques in Image Processing. Studies in Fuzziness and Soft Computing, pp. 3-57. Physica-Verlag, Springer, Heidelberg (2000)
16. Deng, T.Q., Heijmans, H.: Grey-Scale Morphology Based on Fuzzy Logic. Journal of Mathematical Imaging and Vision 16, 155-171 (2002)
17. Deschrijver, G., Cornells, C., Kerre, E.: On the Representation of Intuitionistic Fuzzy t-Norms and t-Conorms. IEEE Transactions on Fuzzy Systems 12, 45-61 (2004)
18. Cornelis, C., Deschrijver, G., Kerre, E.: Implication in Intuitionistic Fuzzy and Interval-Valued Fuzzy Set Theory: Construction, Classification, Application. International Journal of Approximate Reasoning 35, 55-95 (2004)
19. Bloch, I.: Duality vs Adjunction and General Form for Fuzzy Mathematical Morphology. In: Bloch, I., Petrosino, A., Tettamanzi, A.G.B. (eds.) WILF 2005. LNCS (LNAI), vol. 3849, pp. 354-361. Springer, Heidelberg (2006)