Lattices of Triadic Concept Graphs

نویسندگان

  • Bernd Groh
  • Rudolf Wille
چکیده

Triadic concept graphs have been introduced as a mathema-tization of conceptual graphs with subdivision. In this paper it is shown that triadic concept graphs of a triadic power context family always form a complete lattice with respect to the generalization order. For stating this result, a clariication of the notion of generalization is needed. It turns out that the generalization order may be diierently deened, depending on the assumed background knowledge, respectively.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Triadic concept lattices of data with graded attributes

We present foundations for triadic concept analysis of data with graded attributes. Triadic concept analysis departs from the dyadic case by taking into account modi, such as time instances or conditions, under which objects have attributes. That is, instead of a two-dimensional table filled with 0s and 1s (equivalently, binary relation or two-dimensional binary matrix), the input data in triad...

متن کامل

Towards a Navigation Paradigm for Triadic Concepts

The simple formalization and the intuitive graphical representation are main reasons for the growing popularity of Formal Concept Analysis (FCA). FCA gives the user the possibility to explore the structure of data and understand correlations and implications in the data set. Recently, triadic FCA (3FCA) has become increasingly popular, but exploring triadic conceptual landscapes is not easy, es...

متن کامل

FCA Tools Bundle - A Tool that Enables Dyadic and Triadic Conceptual Navigation

Formal Concept Analysis is a prominent field of applied mathematics handling collections of knowledge formal concepts which are derived from some basic data types, called formal contexts by using concept forming operators. One of the strengths of FCA is the elegant, intuitive and powerful graphical representation of landscapes of knowledge as concept lattices. Nevertheless, in case of triadic F...

متن کامل

A Finite State Model for On-Line Analytical Processing in Triadic Contexts

About ten years ago, triadic contexts were presented by Lehmann and Wille as an extension of Formal Concept Analysis. However, they have rarely been used up to now, which may be due to the rather complex structure of the resulting diagrams. In this paper, we go one step back and discuss how traditional line diagrams of standard (dyadic) concept lattices can be used for exploring and navigating ...

متن کامل

Concept Lattices and Co-covering Graphs

This paper provides the definitions of co-basis and co-covering graph. Using these new notations, it deals with the relationship between concept lattices and co-covering graphs. Afterwards, it solves the relation between complete lattices and co-covering graphs, and further, obtains that for a complete lattice, there is a concept lattice isomorphic to it. Mathematics Subject Classification: 06A...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000