Fuzzy Dual Ideal in a BCK-Algebra

Qu, Wenbo; Ma, Zhihao; Jiang, Hao

doi:10.1007/11881599_35

Wenbo Qu²³,
Zhihao Ma²⁴ &
Hao Jiang²⁵

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Included in the following conference series:

International Conference on Fuzzy Systems and Knowledge Discovery

Abstract

In this paper, we study the fuzzy dual ideal of a BCK-algebra, and get the connection between dual ideals and fuzzy dual ideals.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

Xi, O.: Fuzzy BCK-algebra. Math. Japon. 36, 935–942 (1991)
MATH MathSciNet Google Scholar
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
Article MATH MathSciNet Google Scholar
Imai, Y., Iseki, K.: On axiom systems of propositional calculi. Proc. Japan Academy 42, 19–22 (1966)
Article MATH MathSciNet Google Scholar
Lele, C., Wu, C.X., Mamadou, T.: Fuzzy filters in BCI-algebras. Int. J. Math. Math. Sci. 29, 47–54 (2002)
Article MATH MathSciNet Google Scholar
Liu, Y.L., Meng, J.: Fuzzy ideals in BCI-algebras. Fuzzy Sets and Systems 123, 227–237 (2001)
Article MATH MathSciNet Google Scholar
Meng, J., Jun, Y.B.: BCK-algebras. Kyung Moon Sa Co., Seoul (1994)
MATH Google Scholar
Jun, Y.B., Xin, X.L.: On derivations of BCI-algebras. Inform. Sci. 159, 167–176 (2004)
Article MATH MathSciNet Google Scholar
Zimmermann, H.J.: Fuzzy set theory–and its applications. Kluwer Academic Publishers, Dordrecht (2001)
Google Scholar

Download references

Author information

Authors and Affiliations

Department of Mathematics, Shanghai Business School, Shanghai, 200235, P.R., China
Wenbo Qu
Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, P.R. China
Zhihao Ma
Department of Mathematics, Zhejiang University, Hangzhou, 310027, P.R. China
Hao Jiang

Authors

Wenbo Qu
View author publications
You can also search for this author in PubMed Google Scholar
Zhihao Ma
View author publications
You can also search for this author in PubMed Google Scholar
Hao Jiang
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

School of Electrical and Electronic Engineering, Nanyang Technological University,, Block S1, Nanyang Avenue, 639798, Singapore
Lipo Wang
Life Science Research Center, School of Electronic Engineering, Xidian University,, 710071, Xi’an, Shaanxi, China
Licheng Jiao
School of Electrical and Electronic Engineering, Xidian University, 710071, Xi’an, China
Guanming Shi
School of Information Technology and Electrical Engineering, The University of Queensland, 4072, Brisbane, Queensland, Australia
Xue Li
College of Mathematics and Information Science, Hebei Normal University, 050016, Shijiazhuang, Hebei, P.R. China
Jing Liu

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Qu, W., Ma, Z., Jiang, H. (2006). Fuzzy Dual Ideal in a BCK-Algebra. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_35

Download citation

DOI: https://doi.org/10.1007/11881599_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45916-3
Online ISBN: 978-3-540-45917-0
eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics