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Mathematics 2019, 7(3), 236; https://doi.org/10.3390/math7030236

The “Generator” of Int-Soft Filters on Residuated Lattices

College of Science, China Jiliang University, Hangzhou 310000, Zhejiang, China
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Received: 15 January 2019 / Revised: 27 February 2019 / Accepted: 28 February 2019 / Published: 6 March 2019
(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications)
Full-Text   |   PDF [237 KB, uploaded 6 March 2019]

Abstract

In this paper, we give the “generator” of int-soft filters and propose the notion of t-int-soft filters on residuated lattices. We study the properties of t-int-soft filters and obtain some commonalities (e.g., the extension property, quotient characteristics, and a triple of equivalent characteristics). We also use involution-int-soft filters as an example and show some basic properties of involution-int-soft filters. Finally, we investigate the relations among t-int-soft filters and give a simple method for judging their relations. View Full-Text
Keywords: residuated lattice; soft set; filter; t-filter; t-int-soft filter residuated lattice; soft set; filter; t-filter; t-int-soft filter
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zhang, H.; Luo, M. The “Generator” of Int-Soft Filters on Residuated Lattices. Mathematics 2019, 7, 236.

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