Editing Multiset (section)

==Generalizations==
Different generalizations of multisets have been introduced, studied and applied to solving problems.
* Signed multisets (in which multiplicity of an element can be any [[integer]])<ref name="Blizard1990">{{cite journal|last=Blizard|first=Wayne D.|year=1990|title=Negative Membership|journal=Notre Dame Journal of Formal Logic|volume=31|issue=3|pages=346–368|doi=10.1305/ndjfl/1093635499 |s2cid=42766971 |doi-access=free}}</ref>
* Real-valued multisets (in which multiplicity of an element can be any [[real number]])<ref>{{cite journal| last=Blizard|first=Wayne D.|year=1989|title=Real-valued Multisets and Fuzzy Sets|journal=[[Fuzzy Sets and Systems]]|volume=33|issue=1 |pages=77–97|doi=10.1016/0165-0114(89)90218-2}}</ref>
* Fuzzy multisets<ref name="Yager1986">{{cite journal|last=Yager|first=R. R.|year=1986|title=On the Theory of Bags|journal=International Journal of General Systems|volume=13|issue=1 |pages=23–37|doi=10.1080/03081078608934952}}</ref>
* Rough multisets<ref name="Grzymala-Busse1987">{{cite book|last=Grzymala-Busse|first=J.|year=1987|chapter=Learning from examples based on rough multisets|title=Proceedings of the 2nd International Symposium on Methodologies for Intelligent Systems|location=Charlotte, North Carolina|pages=325–332}}</ref>
* Hybrid sets<ref name="Loeb1992">{{cite journal|last=Loeb|first=D.|year=1992|title=Sets with a negative numbers of elements|journal=[[Advances in Mathematics]]|volume=91|issue=1 |pages=64–74|doi=10.1016/0001-8708(92)90011-9|doi-access=free}}</ref>
* Multisets whose multiplicity is any real-valued [[step function]]<ref name="Miyamoto2001">{{cite book|last=Miyamoto|first=S.|title=Multiset Processing |chapter=Fuzzy Multisets and Their Generalizations |year=2001|series=Lecture Notes in Computer Science |volume=2235|pages=225–235|publisher=Springer |location=Berlin, Heidelberg |doi=10.1007/3-540-45523-X_11 |isbn=978-3-540-43063-6 }}</ref>
* Soft multisets<ref name="Alkhazaleh2011">{{cite journal|last1=Alkhazaleh|first1=S.|last2=Salleh|first2=A. R.|last3=Hassan|first3=N.|year=2011|title=Soft Multisets Theory|journal=Applied Mathematical Sciences|volume=5|issue=72|pages=3561–3573}}</ref>
* Soft fuzzy multisets<ref name="Alkhazaleh2012">{{cite journal|last1=Alkhazaleh|first1=S.|last2=Salleh|first2=A. R.|year=2012|title=Fuzzy Soft Multiset Theory|journal=Abstract and Applied Analysis|volume=2012 |pages=1–20 |doi=10.1155/2012/350603 |doi-access=free }}</ref>
* Named sets (unification of all generalizations of sets)<ref>{{cite book|last=Burgin|first=Mark|year=1990|chapter=Theory of Named Sets as a Foundational Basis for Mathematics|title=Structures in Mathematical Theories|publisher=San Sebastian|pages=417–420|chapter-url=http://www.blogg.org/blog-30140-date-2005-10-26.html}}</ref><ref>{{cite journal|last=Burgin|first=Mark|year=1992|title=On the concept of a multiset in cybernetics|journal=Cybernetics and System Analysis|volume=3|pages=165–167}}</ref><ref>{{cite arXiv|last=Burgin|first=Mark|year=2004|title=Unified Foundations of Mathematics|eprint=math/0403186}}</ref><ref>{{cite book|last=Burgin|first=Mark|year=2011|title=Theory of Named Sets|series=Mathematics Research Developments|publisher=Nova Science Pub Inc|isbn=978-1-61122-788-8}}</ref>