Intuitionistic fuzzy classes of implicative filters in RLW-algebras

Downloads

DOI:

https://doi.org/10.26637/MJM0804/0052

Abstract

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
  • A. Ibrahim PG and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai–622001, Tamil Nadu, India.
  • V. Nirmala Research Scholar, PG and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai–622 001, Tamil Nadu, India.
  • 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

Metrics

Metrics Loading ...

Published

01-10-2020

How to Cite

A. Ibrahim, and V. Nirmala. “Intuitionistic Fuzzy Classes of Implicative Filters in RLW-Algebras”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1635-42, doi:10.26637/MJM0804/0052.