ON GENERALIZED FUZZY MULTISETS AND THEIR USE IN COMPUTATION

[1] M. Akay, M. Cohen and D. Hudson, Fuzzy sets in life sciences, Fuzzy Sets and Systems, 90
(1997), 219-224.
[2] S. Anelli, E. Damiani, O. D'Antona and D. E. Loeb, Getting results with negative thinking,
LACES 05A-95-17, eprint arXiv:math.CO/9502214.
[3] D. A. Baum, Individuality and the existence of species through time, Systematic Biology,
47(4) (1989), 641-653.
[4] G. Berry and G. Boudol, The chemical abstract machine, Theoretical Comput. Sci., 96
(1992), 217-248.
[5] W. Blizard, The development of multiset theory, Modern Logic, 1 (1991), 319-352.
[6] R. De Nicola and S. A. Smolka, Concurrency: theory and practice, ACM Computing Surveys
28A, 4es (1996), 52.
[7] J. Goguen, L-fuzzy sets, Journal of Mathematical Analysis and Application, 18 (1967), 145-
174.
[8] D. E. Knuth, The art of computer programming, Seminumerical Algorithms, Addisson-
Wesley, 2 (1981).
[9] D. Loeb, Sets with a negative number of elements, Advances in Mathematics, 91 (1992),
64-74.
[10] S. Miyamoto, Fuzzy multisets and their generalizations, In Multiset Processing, C. Calude,
G. Paun, G. Rozenberg and A. Salomaa, eds., in Lecture Notes in Computer Science. Springer-
Verlag, Berlin, 2235 (2001), 225-235.
[11] S. Miyamoto, Data structure and operations for fuzzy multisets, In Transactions on Rough
Sets II: Rough Sets and Fuzzy Sets, J. F. Peters, A. Skowron, D. Dubois, J. Grzymala-Busse
and M. Inuiguchi, eds., in Lecture Notes in Computer Science. Springer-Verlag, Berlin, 3135
(2004), 189-200.
[12] G. Paun, Membrane computing: an introduction, Springer-Verlag, Berlin, 2002.
[13] J. R. Searle, Mind: a brief introduction, Oxford University Press, Oxford, UK, 2004.
[14] L. A. Stein, Challenging the computational metaphor: implications for how we think, Cyber-
netics & Systems, 30(6) (1999), 473-507.
[15] A. Syropoulos, Mathematics of multisets, In Multiset Processing, C. Calude, G. Paun,
G. Rozenberg and A. Salomaa, eds., in Lecture Notes in Computer Science. Springer-Verlag,
Berlin, 2235 (2001), 347-358.
[16] A. Syropoulos, Fuzzifying P systems, The Computer Journal, 49(5) (2006), 619-628.
[17] A. Syropoulos, Fuzzy chemical abstract machines, CoRR abs/0903.3513, 2009.
[18] A. Syropoulos, On nonsymmetric multi-fuzzy sets, Critical Review IV, (2010), 35{41.
[19] A. Tzouvaras, The linear logic of multisets, Logic Journal of the IGPL, 6(6) (1998), 901-916.
[20] A. Tzouvaras, The logic of multisets continued: the case of disjunction, Studia Logica, 75
(2003), 287-304.
[21] S. Vickers, Topology via logic, Cambridge Tracts in Theoretical Computer Science, Cambridge
University Press, Cambridge, U. K., 6 (1990).
[22] K. Weihrauch, Computable analysis: an introduction, Springer-Verlag, Berlin/Heidelberg,
2000.

[23] R. R. Yager, On the theory of bags, Int. J. General Systems, 13 (1986), 23-37.
[24] X. Zheng and K. Weihrauch, The arithmetical hierarchy of real numbers, Mathematical Logic
Quarterly, 47(1) (2001), 51-65.