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Bull. Korean Math. Soc. 2016; 53(5): 1483-1495

Online first article September 13, 2016      Printed September 30, 2016

https://doi.org/10.4134/BKMS.b150781

Copyright © The Korean Mathematical Society.

Int-soft filters in lattice implication algebras

Young Bae Jun, Yang Xu, and Xiaohong Zhang

Gyeongsang National University, Southwest Jiaotong University, Shanghai Maritime University

Abstract

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The notion of int-soft (implicative) filters in lattice implication algebras is introduced, and related properties are investigated. Characterizations of int-soft (implicative) filters are discussed. Conditions for an int-soft filter to be an int-soft implicative filter are provided. Extension property for int-soft implicative filters is established.

Keywords: (implicative) filter, int-soft filter, int-soft implicative filter, inclusive set

MSC numbers: Primary 03G10, 06B10, 06D72

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