Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
Chapter 2 Concrete and Formal Information Constructions 2.1 Concrete and Formal Observation Spaces Now let us come back to the observation systems. First of all, let us make an inventory of the basic actions one is allowed to do in a generic P-system G, M, : • Any point of G may be uniquely associated with a subset of M (collecting the observed properties of the given point). • Any property of M may be associated with a subset of G (col- lecting the points manifesting the given property). It seems to be a really poor stock of actions. Can we mine meaningful information by means of the mathematical tools so far introduced? Can one deﬁne a “conceptual geometry” on G and M using this machinery? It will be seen that observation systems together with the math- ematical machinery so far introduced are suﬃcient to deﬁne a rather complex and comprehensive theory. We shall start with an ‘observation function’ obs : G −→ ℘(M ), deﬁned by setting: b ∈ obs(a) ⇔ a b. (2.1.1) Technically, obs is what is called a constructor because it builds-up a set from a point. Obviously, for each point a, obs(a)is {b
Published: Jan 1, 2008
Keywords: Formal Operator; Functional Relation; Complete Lattice; Formal Concept Analysis; Nearness Relation
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.