Rough Sets and Higher Order Vagueness
نویسندگان
چکیده
We present a rough set approach to vague concept approximation within the adaptive learning framework. In particular, the role of extensions of approximation spaces in searching for concept approximation is emphasized. Boundary regions of approximated concepts within the adaptive learning framework are satisfying the higher order vagueness condition, i.e., the boundary regions of vague concepts are not crisp. There are important consequences of the presented framework for research on adaptive approximation of vague concepts and reasoning about approximated concepts. An illustrative example is included showing the application of Boolean reasoning in adaptive learning.
منابع مشابه
Rough sets theory in site selection decision making for water reservoirs
Rough Sets theory is a mathematical approach for analysis of a vague description of objects presented by a well-known mathematician, Pawlak (1982, 1991). This paper explores the use of Rough Sets theory in site location investigation of buried concrete water reservoirs. Making an appropriate decision in site location can always avoid unnecessary expensive costs which is very important in constr...
متن کاملStratified Rough Sets and Vagueness
The relationship between less detailed and more detailed versions of data is one of the major issues in processing geographic information. Fundamental to much work in model-oriented generalization, also called semantic generalization, is the notion of an equivalence relation. Given an equivalence relation on a set, the techniques of rough set theory can be applied to give generalized descriptio...
متن کاملStructure of Covering-based Rough Sets
Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringb...
متن کاملFuzzy Rough Sets and Its Application in Data Mining Field
Rough set theory is a new method that deals with vagueness and uncertainty emphasized in decision making. The theory provides a practical approach for extraction of valid rules fromdata.This paper discusses about rough sets and fuzzy rough sets with its applications in data mining that can handle uncertain and vague data so as to reach at meaningful conclusions.
متن کاملAnother approach to soft rough sets
Theories of soft sets and rough sets are two different approaches to vagueness. A possible fusion of rough sets and soft sets is proposed by F.Feng et al. They introduce the concept of soft rough sets, where parametrized subsets of a universe set are basic building blocks for lower and upper approximations of a subset. In the present paper, a new approach is being introduced to study roughness ...
متن کامل