Intuitionistic fuzzy classes of implicative filters in RLW-algebras
Downloads
DOI:
https://doi.org/10.26637/MJM0804/0052Abstract
The goal of this paper is propose the definitions of intuitionistic fuzzy positive, associative and fantastic implicative filters of a RLW - algebras (Residuated Lattice Wajsberg algebras), and to investigate those properties with illustrations. In addition, we obtain some equivalent conditions of intuitionistic fuzzy positive, associative and fantastic implicative filters.
Keywords:
Wajsberg algebra, Lattice Wajsberg algebra, RLW- algebra, Fuzzy implicative filter, Intuitionistic fuzzy implicative filter, Intuitionistic fuzzy positive implicative filter, Intuitionistic fuzzy associative implicative filter, Intuitionistic fuzzy fantastic implicative filter.Mathematics Subject Classification:
Mathematics- Pages: 1635-1642
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.
K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2)(1994), 137-142.
M. Basheer Ahamed and A. Ibrahim, Fuzzy implicative filters of lattice Wajsberg algebras, Advances in Fuzzy Mathematics , 6(2)(2011), 235-243.
M. Basheer Ahamed and A. Ibrahim, Anti fuzzy implicative filters in lattice Walgebras, International Journal of Computational Science and Mathematics, 4(1)(2012), $49-56$.
J. M. Font, A. J. Rodriguez and A. Torrens, Wajsberg algebras, Stochastica, 8(1)(1984), 5-31.
A. Ibrahim and V. Nirmala, Implicative Filters of Residuated Lattice Wajsberg algebras, Global Journal of Pure and Applied Mathematics, 14(2018), 625-634.
A. Ibrahim and V. Nirmala, Fuzzy Implicative Filters of Residuated Lattice Wajsberg algebras, Journal of Computer and Mathematical Science, 9(9)(2018), 1201-1209.
A. Ibrahim and V. Nirmala, Intuitionistic Fuzzy Implicative Filters of Residuated Lattice Wajsberg Algebras, International Journal of Advanced Science and Technology, 29(2)(2020), 1048-1056.
A. Ibrahim and V. Nirmala, Positive and Associative Implicative Filters of Residuated Lattice Wajsberg Algebras, Advances in Mathematics: Scientific Journal, 8(3)(2019), 226-232.
A. Ibrahim and V. Nirmala, Fuzzy Positive and Associative Implicative Filters of Residuated Lattice Wajsberg algebras, Journal of Information and Computational Science, 10(3)(2020), 1194-1204.
A. Ibrahim and V. Nirmala, Fantastic and Fuzzy Fantastic Implicative Filters of Residuated Lattice Wajsberg algebras, Journal of Xi'an University of Architecture & Technology, 12(4)(2020), 1770-1780.
A. Ibrahim and K. Jeyalekshmi, Intuitionistic Fuzzy Pseudo- Boolean Implicative Filters of Lattice Pseudo -Wajsberg algebras, International Journal of Engineering and Advanced Technology, 9(2)(2019), 246-250.
A. Ibrahim and C. Shajitha Begum, Fuzzy Positive Implicative and Fuzzy Associative WI-ideals of Lattice Wajsberg algebras, International Journal of Recent Technology and Engineering, 8(4)(2019), 689-693.
M. Word and R. P. Dilworth, Residuated lattices, Trans-actions of the American Mathematical Society, 45(1939), $335-354$.
M. Wajsberg, BeitragezumMetaaussagenkalkul 1, Monat, Mat. Phys., 42(1939), 221-242.
L. A. Zadeh, Fuzzy sets, Information Control, 8(1965), $338-353$.
- NA
Similar Articles
- Zoubir Dahmani, Fractional integral inequalities for continuous random variables , Malaya Journal of Matematik: Vol. 2 No. 02 (2014): Malaya Journal of Matematik (MJM)
- Amira ABDELNEBI, Zoubir DAHMANI, Mehmet Zeki SARIKAYA, New classes of fractional integral inequalities and some recent results on random variables , Malaya Journal of Matematik: Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
- M. Houas, Integral inequalities involving \((k,s)\)− fractional moments of a continuous random variables , Malaya Journal of Matematik: Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
- Mohamed DOUBBI BOUNOUA, Zoubir DAHMANI, Zakaria BEKKOUCHE, Further results and applications on continuous random variables , Malaya Journal of Matematik: Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)
- M. Houas, Z. Dahmani , Random variable inequalities involving (k,s)-integration , Malaya Journal of Matematik: Vol. 5 No. 04 (2017): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.