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

Huarong Zhang and Minxia Luo
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Huarong Zhang: College of Science, China Jiliang University, Hangzhou 310000, Zhejiang, China
Minxia Luo: College of Science, China Jiliang University, Hangzhou 310000, Zhejiang, China

Mathematics, 2019, vol. 7, issue 3, 1-10

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.

Keywords: residuated lattice; soft set; filter; t-filter; t-int-soft filter (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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