A new filter in residuated lattices

Arsham Borumand Saeid; Saeide Zahiri; Manijeh Pourkhatoun

EN

A new filter in residuated lattices

Abstract

In this paper, we introduce the notion of node elements and nodal filters of residuated lattices. We define nodal filter of a residuated lattice as a node of the set of all filters in residuated lattices and we study their properties. Next, we investigate the relationships with the other types of filters and special sets in residuated lattice. Finally we obtain a characterization of the nodal filters in terms of congruences

Keywords

residuated lattice, node, (nodal, implicative, positive implicative, normal) filter

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Arsham Borumand Saeid This is me

Saeide Zahiri This is me

Manijeh Pourkhatoun This is me

Publication Date

June 1, 2015

Submission Date

June 1, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 10 Number: 2

IZ

https://izlik.org/JA25UM44JB

Cite

RIS / Bibtex

APA

Saeid, A. B., Zahiri, S., & Pourkhatoun, M. (2015). A new filter in residuated lattices. Turkish Journal of Science and Technology, 10(2), 29-36. https://izlik.org/JA25UM44JB

AMA

1.Saeid AB, Zahiri S, Pourkhatoun M. A new filter in residuated lattices. TJST. 2015;10(2):29-36. https://izlik.org/JA25UM44JB

Chicago

Saeid, Arsham Borumand, Saeide Zahiri, and Manijeh Pourkhatoun. 2015. “A New Filter in Residuated Lattices”. Turkish Journal of Science and Technology 10 (2): 29-36. https://izlik.org/JA25UM44JB.

EndNote

Saeid AB, Zahiri S, Pourkhatoun M (June 1, 2015) A new filter in residuated lattices. Turkish Journal of Science and Technology 10 2 29–36.

IEEE

[1]A. B. Saeid, S. Zahiri, and M. Pourkhatoun, “A new filter in residuated lattices”, TJST, vol. 10, no. 2, pp. 29–36, June 2015, [Online]. Available: https://izlik.org/JA25UM44JB

ISNAD

Saeid, Arsham Borumand - Zahiri, Saeide - Pourkhatoun, Manijeh. “A New Filter in Residuated Lattices”. Turkish Journal of Science and Technology 10/2 (June 1, 2015): 29-36. https://izlik.org/JA25UM44JB.

JAMA

1.Saeid AB, Zahiri S, Pourkhatoun M. A new filter in residuated lattices. TJST. 2015;10:29–36.

MLA

Saeid, Arsham Borumand, et al. “A New Filter in Residuated Lattices”. Turkish Journal of Science and Technology, vol. 10, no. 2, June 2015, pp. 29-36, https://izlik.org/JA25UM44JB.

Vancouver

1.Arsham Borumand Saeid, Saeide Zahiri, Manijeh Pourkhatoun. A new filter in residuated lattices. TJST [Internet]. 2015 Jun. 1;10(2):29-36. Available from: https://izlik.org/JA25UM44JB