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A new filter in residuated lattices

Year 2015, Volume: 10 Issue: 2, 29 - 36, 01.06.2015

Arsham Borumand Saeid Saeide Zahiri Manijeh Pourkhatoun

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

Year 2015, Volume: 10 Issue: 2, 29 - 36, 01.06.2015

Arsham Borumand Saeid Saeide Zahiri Manijeh Pourkhatoun

Abstract

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Details

Other ID JA25FT83SF
Journal Section Articles
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
Published in Issue Year 2015 Volume: 10 Issue: 2

Cite

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.
AMA Saeid AB, Zahiri S, Pourkhatoun M. A new filter in residuated lattices. TJST. June 2015;10(2):29-36.
Chicago Saeid, Arsham Borumand, Saeide Zahiri, and Manijeh Pourkhatoun. “A New Filter in Residuated Lattices”. Turkish Journal of Science and Technology 10, no. 2 (June 2015): 29-36.
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 A. B. Saeid, S. Zahiri, and M. Pourkhatoun, “A new filter in residuated lattices”, TJST, vol. 10, no. 2, pp. 29–36, 2015.
ISNAD Saeid, Arsham Borumand et al. “A New Filter in Residuated Lattices”. Turkish Journal of Science and Technology 10/2 (June 2015), 29-36.
JAMA 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, 2015, pp. 29-36.
Vancouver Saeid AB, Zahiri S, Pourkhatoun M. A new filter in residuated lattices. TJST. 2015;10(2):29-36.