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http://dx.doi.org/10.5666/KMJ.2017.57.1.85

Relations between Regular Uni-soft Filters and Uni-soft MV - filters in Residuated Lattices  

Muhiuddin, Ghulam (Department of Mathematics, University of Tabuk)
Park, Chul Hwan (School of Digital Mechanics, Ulsan College)
Jun, Young Bae (The Research Institute of Natural Science, Department of Mathematics Education, Gyeongsang National University)
Publication Information
Kyungpook Mathematical Journal / v.57, no.1, 2017 , pp. 85-97 More about this Journal
Abstract
The notions of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are introduced, and related properties are investigated. Characterizations of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are discussed.Relations between regular uni-soft filters and uni-soft MV -filters are considered. It is shown that the notion of a uni-soft MV -filter coincides with the notion of a regular uni-soft filter in BL-algebras.
Keywords
Residuated lattice; (Boolean, regular) uni-soft filter; Uni-soft G-filter; Uni-soft MV -filter;
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Times Cited By KSCI : 2  (Citation Analysis)
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