Inclusion degree: a perspective on measures for rough set data analysis

نویسندگان

  • Zongben Xu
  • Jiye Liang
  • Chuangyin Dang
  • Kwai-Sang Chin
چکیده

Rough set data analysis is one of the main application techniques arising from rough set theory. In this paper we introduce a concept of inclusion degree into rough set theory and establish several important relationships between the inclusion degree and measures on rough set data analysis. It is shown that the measures on rough set data analysis can be reduced to the inclusion degree. 2002 Published by Elsevier Science Inc.

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

Distance: A more comprehensible perspective for measures in rough set theory

Distance provides a comprehensible perspective for characterizing the difference between two objects in a metric space. There are many measures which have been proposed and applied for various targets in rough set theory. In this study, through introducing set distance and partition distance to rough set theory, we investigate how to understand measures from rough set theory in the viewpoint of...

متن کامل

Applications of Inclusion Degree in Rough Set Theory

Rough set theory is a relatively new mathematical tool for use in computer applications in circumstances which are characterized by vagueness and uncertainty. In this paper, applications of inclusion degree in rough set theory are discussed, the relationships among inclusion degree, measures on rough set theory and some generalized rough set models are established. These results will be very he...

متن کامل

Consistency measure, inclusion degree and fuzzy measure in decision tables

Classical consistency degree has some limitations for measuring the consistency of a decision table, in which the lower approximation of a target decision is only taken into consideration. In this paper, we focus on how to measure the consistencies of a target concept and a decision table and the fuzziness of a rough set and a rough decision in rough set theory. For three types of decision tabl...

متن کامل

Several new results based on the study of distance measures of intuitionistic fuzzy sets

It is doubtless that intuitionistic fuzzy set (IFS) theory plays an increasingly important role in solving the problems under uncertain situation. As one of the most critical members in the theory, distance measure is widely used in many aspects. Nevertheless, it is a pity that part of the existing distance measures has some drawbacks in practical significance and accuracy. To make up for their...

متن کامل

Rough Inclusion Functions and Similarity Indices

Rough inclusion functions are mappings considered in the rough set theory with which one can measure the degree of inclusion of a set in a set (and in particular, the degree of inclusion of an information granule in an information granule) in line with rough mereology. On the other hand, similarity indices are mappings in cluster analysis with which one can compare clusterings, and clustering m...

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:
  • Inf. Sci.

دوره 141  شماره 

صفحات  -

تاریخ انتشار 2002