Nk-Bags

International Journal of Intelligent Systems

Volumn 22, Issue 2, 2007, Pages 223-236

  Chakrabarty, Kankana ^a   Despi, Ioan ^a  

^a UNIVERSITY OF NEW ENGLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION EVALUATION; NUMBER THEORY;

INTEGERS; POWER SETS;

INTEGER PROGRAMMING;

EID: 33846803874     PISSN: 08848173     EISSN: 1098111X     Source Type: Journal    
DOI: 10.1002/int.20195     Document Type: Article

References (27)

1. Yager RR. On the theory of bags. Int J Gen Syst 1986;13:23-37.
2. Blizard WD. Multiset theory. Notre Dame J Formal Logic 1989;30:36-66.
3. Blizard WD. The development of multiset theory. Mod Logic 1991;1:319-352.
4. Blizard WD. Multisets: Collection containing indistinguishable elements. In: Discrete and combinatorial physics, Proc Ninth Annual Int Meeting of the Alternative Natural Philosophy Association, University of Cambridge, September 23-28, 1987. pp 190-192.
5. Lake J. Sets, fuzzy sets, multisets and functions. J London Math Soc 1976;12:323-326.
6. Meyer R, McRobbie M. Multisets and relevant implication. I and II. Austral J Philos 1982:60:107-139,265-281.
7. Chakrabarty K. On bags and fuzzy bags. In: Advances in soft computing, soft computing techniques and applications. Berlin: Physica-Verlag; 2000. pp 201-212.
8. Chakrabarty K, Biswas R, Nanda S. On Yager's theory of bags and fuzzy bags. Comput Artif Intell 1999;18:1-17.
9. Chakrabarty K, Biswas R, Nanda S. Fuzzy shadows. Int J Fuzzy Set Syst 1999;101:413-421.
10. Grefen PWPJ, deBy RA. A multi-set extended relational algebra. A formal approach to a practical issue. In: Proc Int Conf on Data Engineering, Houston, TX; 1994. pp 80-88.
11. Grefen PWPJ. Extending a multi-set relational algebra to a parallel environment. Memoranda Informatica, September 1994.
12. Ullman JD, Widom J. A first course in database systems. Englewood Cliffs, NJ: Prentice Hall; 2002.
13. Chakrabarty K. Bags with internal counts. Found Comput Decis Sci 2000;25:23-36.
14. Chakrabarty K. Decision analysis using IC-bags. Int J Inform Technol Decis Making 2004;3:101-108.
15. Chakrabarty K. Notion of fuzzy IC-bags. Int J Uncertainty Fuzziness Knowl Base Syst 2004;12:327-345.
16. Fraenkel A, Bar-Hillel Y, Levy A. Foundations of set theory. 2nd revised ed. Amsterdam: North Holland; 1973.
17. McKay JKS. Algorithm 371: Partitions in natural order. Commun ACM 1970;13:52.
18. Knuth D. The art of computer programming. Combinatorial algorithms. Enumeration and backtracking, vol 4A, Pre-fascicle 3B: Generating all partitions. Reading, MA: Addison-Wesley;2005. 150 pp.
19. Hindenburg CF. Infinitinomii dignitatum exponentis indeterminati. Göttingen: Dieterich; 1779. pp 73-91.
20. Sloane NJA. The on-line encyclopedia of integer sequences. Sequence A070177. Available at: http://www.research.att.com/projects/OEIS?Anum=A070177.
21. Rogers LJ, Ramanujan S. Proof of certain identities in combinatory analysis. Proc Cambridge Phil Soc 1919;19:211-216.
22. Skiena S. Implementing discrete mathematics: Combinatorics and graph theory with mathematica. Reading, MA: Addison-Wesley; 1990.
23. Wilf H. Lectures on integer partitions. From PIMS lectures given in the summer of 2000 at the University of Victoria. Available at: http://www.cis. upenn.edu/~wilf/.
24. Goles E, Latapy M, Magnien C, Movan M, Phan HD. Sandpile models and lattices: A comprehensive survey. Theor Comput Sci 2004;322:383-407.
25. Brylawski T. The lattice of integer partitions. Discrete Math 1973;6:210-219.
26. Goles E, Kiwi MA. Games on line graphs and sand piles. Theor Comput Sci 1993;115:321-349.
27. Goles E, Morvan M, Phan HD. Sand piles and order structure of integer partitions. Discrete Appl Math 2002;117:51-64.