Finiteness Notions in Fuzzy SetsFuzzy Sets and Systems (2001)
AbstractFinite sets are one of the most fundamental mathematical structures. In the absence of the axiom of choice there are many different inequivalent definitions of finite even in classical logic. When we allow incomplete existence as in fuzzy sets the situation gets even more complicated. This paper gives nine distinct definitions of finite in a fuzzy context together with examples showing how the properties of the underlying lattice of truth values impact the meanings of finite.
- finite sets,
- fuzzy sets.
Publication DateFall November 16, 2001
Citation InformationLawrence N. Stout. "Finiteness Notions in Fuzzy Sets" Fuzzy Sets and Systems Vol. 124 Iss. 1 (2001)
Available at: http://works.bepress.com/lawrence_stout/4/