From fuzzy sets to shadowed sets: Interpretation and computing

International Journal of Intelligent Systems

Volumn 24, Issue 1, 2009, Pages 48-61

  Pedrycz, Witold ^a,b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b SYSTEMS RESEARCH INSTITUTE   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

DATA STRUCTURES; FUZZY CLUSTERING; FUZZY SETS;

DATA INTERPRETATION; FULL MEMBERSHIP; OPTIMIZ ATION PROBLEMS; SHADOWED SETS;

MEMBERSHIP FUNCTIONS;

EID: 58449116911     PISSN: 08848173     EISSN: 1098111X     Source Type: Journal    
DOI: 10.1002/int.20323     Document Type: Article

References (16)

1. Bezdek JC, Keller J, Krishnapuram R, Pal NR. Fuzzy models and algorithms for pattern recognition and image processing. Boston, MA: Kluwer Academic Publishers; 1999.
2. Hoppner F, Klawonn F, Kruse R, Runkler T. Fuzzy Cluster Analysis: Methods for Classification, Data Analysis and Image Recognition, Wiley., New York, 1999.
3. Castellano G, Castiello C, Fanelli AM, Mencar C. Knowledge discovery by a neuro-fuzzy modeling framework. Fuzzy Sets Syst, 2005; 149(1): 187-207.
4. Pedrycz W. Shadowed sets: representing and processing fuzzy sets, IEEE Trans. Syst, Man Cybernet B, vol. 28, 1998, 103-109.
5. Pedrycz W. Shadowed sets: Bridging fuzzy and rough sets. In: Rough fuzzy hybridization. A new trend in decision-making. Pal SK, Skowron A, editors. Singapore: Springer Verlag; 1999. pp 179-199.
6. Pedrycz W. Fuzzy clustering with a knowledge-based guidance, Pattern Recognition Letters, vol. 25, no. 4, 2004, 469-480.
7. Cattaneo G, Ciucci D. An algebraic approach to shadowed sets. Electron Notes Theoret Comput Sci 2001; 82(4); 1-12.
8. Gürkan E, Erkmen I, Erkmen AM. Two-way fuzzy adaptive identification and control of a flexible-joint robot arm, Information Sciences, vol. 145, no. 1-2, 13-43.
9. Jahn KU. Intervall-wertige Mengen, Math. Nach. 68, 1975, 115-132.
10. Bargiela A, Pedrycz W. Granular computing: An introduction. Dordrecht, Germany: Kluwer Academic Publishers; 2003.
11. Cornelis C, Deschrijver G, Kerre EE. Implication in intuitionistic and interval-valued fuzzy set theory: Construction, application. Int. J. Approx. Reasoning, 2004; 35(1): 55-95.
12. Gau WL, Buehrer DJ, Vague sets, IEEE Trans. Sys, Man Cybern, 1993; (23)2: 610-614.
13. Gehrke M, Walker C, Walker E. Some comments on interval-valued fuzzy sets, Int. J. Intelligent Systems, 1996; (11): 751-759.
14. Grattan-Guiness I. Fuzzy membership mapped onto interval and many-valued quantities, Z. Math. Logik. Grundladen Math., 1975; (22): 149-160.
15. Sambuc R. Fonctions Φ-floues. Application à l'aide au diagnostic en pathologie thyroidienne. Ph.D Thesis, University of Marseille; 1975.
16. Türksen IB. Interval valued fuzzy sets based on normal forms, Fuzzy Sets and Systems 1986; (20)2: 191-210.