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.

The chains in 𝒱 form a class 𝒞 which is partially ordered by inclusion.

2008, Patrik Eklund, M. Ángeles Galán, Partially Ordered Monads and Rough Sets, James F. Peters, Andrzej Skowron (editors), 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.

Partially ordered

Meaning

Adj