Similitude Degree and Comparability Direction of Intuitionistic Fuzzy Singular Rough Sets

Author

Hu Jun-hong ; Liu Fu-xian ; Gu Guo-dong

Author_Institution

Sch. of Air & Missile Defense, Air Force Eng. Univ. (AFEU), Xi´an, China

fYear

2013

fDate

21-23 June 2013

Firstpage

2011

Lastpage

2014

Abstract

The Intuitionistic Fuzzy S-Rough sets is the intuitionistic fuzzy extension of S-Rough sets theory. It has S-Rough sets´ dynamic characteristic, as well as the membership and non-membership of Intuitionistic Fuzzy sets, thus is able to describe the transformation degree of the elements in sets more clearly and precisely. This paper defines the similitude degree and comparability of IFS-RS, and presents the calculation equation of the similitude degree based on the rough character of IFS-RS, so that the similitude degree between two IFS-RS and the precision degree of the information these two sets contain can be calculated more precisely.

Keywords

formal logic; fuzzy set theory; rough set theory; IFS-RS; S-rough sets dynamic characteristic; S-rough sets theory; comparability direction; elements transformation degree; intuitionistic fuzzy S-rough sets; intuitionistic fuzzy sets membership; intuitionistic fuzzy sets nonmembership; intuitionistic fuzzy singular rough sets; similitude degree; Approximation methods; Educational institutions; Equations; Finite element analysis; Fuzzy sets; Mathematical model; Rough sets; Intuitionistic Fuzzy S-Rough sets; comparability direction; similitude degree;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on

Conference_Location

Shiyang

Type

conf

DOI

10.1109/ICCIS.2013.532

Filename

6643444