Properties of an anti vague filter in BL-algebras
Abstract
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.
Keywords
Full Text:
PDFReferences
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).
DOI: http://dx.doi.org/10.23755/rm.v41i0.650
Refbacks
- There are currently no refbacks.
Copyright (c) 2021 Yahya YAHYA Mohamed
This work is licensed under a Creative Commons Attribution 4.0 International License.
Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.