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Mathematics of multisets. (English) Zbl 1052.03030

Calude, Cristian S. (ed.) et al., Multiset processing. Mathematical, computer science, and molecular computing points of view. Berlin: Springer (ISBN 3-540-43063-6). Lect. Notes Comput. Sci. 2235, 347-358 (2001).
Summary: This paper is an attempt to summarize the basic elements of the multiset theory. We begin by describing multisets and the operations between them, then we present hybrid sets and their operations. We continue with a categorical approach to multisets, and then we present fuzzy multisets and their operations. Finally, we present partially ordered multisets.
For the entire collection see [Zbl 0983.00053].

MSC:

03E20 Other classical set theory (including functions, relations, and set algebra)
03E75 Applications of set theory