The aim of this paper is to develop an optimum design method for roof shapes that satisfy both aesthetic and dynamic conditions by using the rough sets theory. This optimum system consists of the KANSEI evaluation system and the shape evaluation system. In the KANSEI evaluation system, the KANSEI questionnaire system is executed first, and the obtained KANSEI evaluation values are used as KANSE...

Rough set theory can be generalized by induced topology through equivalence relations. Motivated the work of generalization rough via topology, concept and properties $ \tau-\mathfrak{K} $-fuzzy open (closed) sets are proposed. Considering sets, we have obtained lower upper approximations also proved their properties. represented as $-open \alpha level sets. The fuzzy on basis binary relation c...

Credit scoring is a very typical classification problem in Data Mining. Many classification methods have been presented in the literatures to tackle this problem. The decision tree method is a particularly effective method to build a classifier from the sample data. Decision tree classification method has higher prediction accuracy for the problems of classification, and can automatically gener...

Combining rough sets and fuzzy soft sets, we propose an algorithm to obtain the optimal decision program. In this algorithm, firstly, according to fuzzy soft sets, we build up information systems; secondly, we compute the significance of each parameter according to rough set theory; thirdly, combining subjective bias, we give an algorithm to obtain the comprehensive weight of each parameter; at...

Rough sets is a well-known approach to incomplete or imprecise data. In the paper we briefly report how this framework was successfully encoded with the help of one of the leading computer proof assistants in the world. Thanks to their abstract and flexible character based essentially on binary relations, lattices as a basic viewpoint appeared a very feasible one in the case of rough sets. We f...

The rough sets theory was meant as a tool for imprecise and inconsistent information systems. Incomplete information can be also considered as a particular case of imprecise information. Because the rough sets theory makes the assumption of completeness of all attributes of input vector, many modifications of this theory were developed describing how to use the incomplete data. This article pre...

The rough set concept is a new mathematical approach to imprecision, vagueness and uncertainty. To some extend it overlaps with fuzzy set theory and evidence theory – nevertheless the rough set theory can be viewed in its own rights, as an independent discipline. Many real-life applications of the theory have proved its practical usefulness. The paper presents the basic assumptions underlying t...

In this article a new model of regression is defined. On the basis of the rough sets theory a notion of rough number is defined. Typical real numbers calculations do not keep the additional information like the uncertainty or the error of input data. Rough numbers remove this limitation. It causes that rough numbers seem to be interested as the basis of the new way of regression: rough regression.

The theory of rough sets and formal concept analysis are compared in a common framework based on formal contexts. Different concept lattices can be constructed. Formal concept analysis focuses on concepts that are definable by conjuctions of properties, rough set theory focuses on concepts that are definable by disjunctions of properties. They produce different types of rules summarizing knowle...