Properties of an anti vague filter in BL-algebras
DOI:
https://doi.org/10.23755/rm.v41i0.650Keywords:
BL-algebra, Filter, Implicative filter, Vague set, Vague filter, Anti vague filterAbstract
ABSTRACT
In this paper, we introduce the notion of an anti vague filter of a BL-algebra with illustration, and obtain some related properties. Further, we investigate some equivalent conditions of anti vague filter.
References
R.Biswas, Vague groups, International Journal of Computational Cognition,Vol. 4(2) (2006), 20-23.
C. C. Chang, Algebraic analysis of many valued logics, Trans. Amer. Math. Soc. 88 (1958), 467- 490.
T. Eswarlal, Vague ideals and normal vague ideals in semirings, International Journal of Computational Cognition, Vol. 6, (2008), 60-65.
W. L. Gau, D. J. Buehrer, Vague sets, IEEE Transactions on Systems, Man and Cybernetics, Vol. 23 (2), (1993), 610-614.
P. Hảjek, Metamathematics of fuzzy logic, Klower Academic Publishers, Dordrecht, 1999.
L. Z. Liu, K. T. Li, Fuzzy filters of BL-algebras, Information Sciences, 173 (2005), 141-154.
S. Yahya Mohamed and P. Umamaheswari, Vague Filter of BL- Algebras Journal of Computer and Mathematical Sciences, 9(8), (2018), 914-920.
S. Yahya Mohamed and P. Umamaheswari, Vague prime and Boolean filters of BL- Algebras, Journal of Applied Science and Computations, 5(11),(2018), 470-474.
S. Yahya Mohamed and P. Umamaheswari, Vague implicative filters of BL- algebras, American International Journal of Research in Science, Technology, Engineering and & Mathematics, Conference Proceeding of ICOMAC-2019, 295-299.
S. Yahya Mohamed and P. Umamaheswari, Vague Positive Implicative filter of BL- algebras, Malaya Journal of Matematik, 8(1), (2020), 166-170.
E. Turunen, Boolean deductive systems of BL-algebras, Arch. Math. Logic 40 (2001), 467-473.
L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353.
X. H. Zhang, Fuzzy logic and its algebraic analysis, Science Press, Beijing(2008).
Downloads
Additional Files
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.