# partially ordered

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## English[edit]

### Adjective[edit]

**partially ordered** (*not comparable*)

- (set theory, order theory, of a set) Equipped with a partial order;
*when the partial order is specified, often construed with*by.**1963**, L. V. Kantorovič, B. Z. Vulih, A. G. Pinsker,, A. L. Brudno (editor),**Partially Ordered**Groups and**Partially Ordered**Linear Spaces*American Mathematical Society Translations, Series 2, Volume 27: 18 papers on algebra*, American Mathematical Society, page 51,- This leads to the introduction of new kinds of abstract spaces—
**partially ordered**linear spaces—and to their systematic use in functional analysis. The beginnings of a theory of**partially ordered**linear spaces are given in the works of L. V. Kantorovič in 1935-1937.

- This leads to the introduction of new kinds of abstract spaces—
**1966**, S. J. Taylor,*Introduction to Measure and Integration*, Cambridge University Press, page 22,- The chains in form a class which is
**partially ordered**by inclusion.

- The chains in form a class which is
**2008**, Patrik Eklund, M. Ángeles Galán,, James F. Peters, Andrzej Skowron (editors),**Partially Ordered**Monads and Rough Sets*Transactions on Rough Sets VIII, Volume 8*, Springer, LNCS 5084, page 53,- In this paper we will show that
**partially ordered**monads contain appropriate structure for modeling rough sets in a generalized relational setting.

- In this paper we will show that

#### Usage notes[edit]

See notes at *partially ordered set*.