Rough Sets pp 251-272 | Cite as

Algebraic Structures

  • Lech Polkowski
Part of the Advances in Soft Computing book series (AINSC, volume 15)


We will be interested here in algebraic structures defined within the realm of ordered sets. These structures play an eminent role in semantics of various logical calculi. In developing a theory of these structures, two ways are possible, either to begin with the most perfect structure i.e. Boolean algebras and relax gradually its requirements descending to less organized structures or to begin with the least perfect structures and gradually add requirements to ascend to more organized structures. Either approach has its merits, and here we settle with the latter so we begin with the minimal sound structure and subsequently add more features.


Topological Space Boolean Algebra Distributive Lattice Algebraic Structure Unit Element 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Lech Polkowski
    • 1
    • 2
  1. 1.Polish-Japanese Institute of Information TechnologyWarsawPoland
  2. 2.Department of Mathematics and Computer ScienceUniversity of Wormia and MazuryOlsztynPoland

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