The Measure of Fuzzy Filters on BL-Algebras

Joint Authors

Zhu, Xiang
Md Johar, Md Gapar
Raya, Lilysuriazna Binti
Liao, Zu-hua

Source

Advances in Fuzzy Systems

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-12-12

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

The new concept of the fuzzy filter degree was given by means of the implication operator, which enables to measure a degree to which a fuzzy subset of a BL-algebra is a fuzzy filter.

In this paper, we put forward several equivalent characterizations of the fuzzy filter degree by studying its properties and the relationship with level cut sets.

Furthermore, we study the fuzzy filter degrees of the intersection and fuzzy direct products of fuzzy subsets and investigate the fuzzy filter degrees of the image and the preimage of a fuzzy subset under a homomorphism.

American Psychological Association (APA)

Zhu, Xiang& Md Johar, Md Gapar& Raya, Lilysuriazna Binti& Liao, Zu-hua. 2019. The Measure of Fuzzy Filters on BL-Algebras. Advances in Fuzzy Systems،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1118068

Modern Language Association (MLA)

Zhu, Xiang…[et al.]. The Measure of Fuzzy Filters on BL-Algebras. Advances in Fuzzy Systems No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1118068

American Medical Association (AMA)

Zhu, Xiang& Md Johar, Md Gapar& Raya, Lilysuriazna Binti& Liao, Zu-hua. The Measure of Fuzzy Filters on BL-Algebras. Advances in Fuzzy Systems. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1118068

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1118068