Consistency measure, inclusion degree and fuzzy measure in decision tables

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

48 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)2353-2377
Journal / PublicationFuzzy Sets and Systems
Volume159
Issue number18
Publication statusPublished - 16 Sep 2008

Abstract

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 tables (complete, incomplete and maximal consistent blocks), the membership functions of an object are defined through using the equivalence class, tolerance class and maximal consistent blocks including itself, respectively. Based on these membership functions, we introduce consistency measures to assess the consistencies of a target set and a decision table, and define fuzziness measures to compute the fuzziness of a rough set and a rough decision in these three types of decision tables. In addition, the relationships among the consistency, inclusion degree and fuzzy measure are established as well. These results will be helpful for understanding the essence of the uncertainty in decision tables and can be applied for rule extraction and rough classification in practical decision issues. © 2007 Elsevier B.V. All rights reserved.

Research Area(s)

  • Consistency measure, Decision table, Fuzziness measure, Inclusion degree, Rough set theory

Citation Format(s)

Consistency measure, inclusion degree and fuzzy measure in decision tables. / Qian, Yuhua; Liang, Jiye; Dang, Chuangyin.

In: Fuzzy Sets and Systems, Vol. 159, No. 18, 16.09.2008, p. 2353-2377.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review