Meticulous rough inclusion and its relations to fuzzy inclusion

Author

Inuiguchi, Masahiro ; Polkowski, Lech

Author_Institution

Dept. Electron. & Inf. Syst., Osaka Univ., Japan

Volume

3

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

1535

Lastpage

1538

Abstract

We discuss a special kind of rough inclusions and its relation to fuzzy inclusions. One of four conditions of rough inclusions is detailed and a rough inclusion which satisfies the detailed condition as well as an additional condition is called a ´meticulous rough inclusion´. We show that a meticulous rough inclusion is closed with respect to upper and lower closure operators defined for a rough inclusion. We discuss conditions for a rough inclusion to be a meticulous rough inclusion. Moreover, the relations between meticulous rough inclusions and fuzzy inclusions are investigated. Sufficient conditions for a fuzzy inclusion defined by an implication function to be a meticulous rough inclusion are given. Examples of fuzzy inclusions which are meticulous rough inclusions are presented

Keywords

fuzzy set theory; rough set theory; fuzzy inclusion; lower closure operators; meticulous rough inclusion; sufficient conditions; upper closure operators; Electrons; Frequency; Fuzzy reasoning; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Robots; Rough sets; Sufficient conditions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2001. The 10th IEEE International Conference on

Conference_Location

Melbourne, Vic.

Print_ISBN

0-7803-7293-X

Type

conf

DOI

10.1109/FUZZ.2001.1008955

Filename

1008955