Fuzzy n-Fold Filters of Pseudoresiduated Lattices

Given a pseudoresiduated lattice M and a lattice L, we introduce and characterize the fuzzy versions of different n-fold implicative (resp., obstinate, Boolean, normal, and extended involutive) filters of M. Moreover, we study some relationships between these different types of fuzzy n-fold filters.

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Main Authors: Albert Kadji, Celestin Lele, Marcel Tonga
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2015/386210
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author Albert Kadji
Celestin Lele
Marcel Tonga
author_facet Albert Kadji
Celestin Lele
Marcel Tonga
author_sort Albert Kadji
collection DOAJ
description Given a pseudoresiduated lattice M and a lattice L, we introduce and characterize the fuzzy versions of different n-fold implicative (resp., obstinate, Boolean, normal, and extended involutive) filters of M. Moreover, we study some relationships between these different types of fuzzy n-fold filters.
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-3800fc6e243443789f2ddfd15cbe020a2025-02-03T01:07:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/386210386210Fuzzy n-Fold Filters of Pseudoresiduated LatticesAlbert Kadji0Celestin Lele1Marcel Tonga2Department of Mathematics, University of Yaoundé I, P.O. Box 812, Yaoundé, CameroonDepartment of Mathematics, University of Dschang, P.O. Box 67, Dschang, CameroonDepartment of Mathematics, University of Yaoundé I, P.O. Box 812, Yaoundé, CameroonGiven a pseudoresiduated lattice M and a lattice L, we introduce and characterize the fuzzy versions of different n-fold implicative (resp., obstinate, Boolean, normal, and extended involutive) filters of M. Moreover, we study some relationships between these different types of fuzzy n-fold filters.http://dx.doi.org/10.1155/2015/386210
spellingShingle Albert Kadji
Celestin Lele
Marcel Tonga
Fuzzy n-Fold Filters of Pseudoresiduated Lattices
International Journal of Mathematics and Mathematical Sciences
title Fuzzy n-Fold Filters of Pseudoresiduated Lattices
title_full Fuzzy n-Fold Filters of Pseudoresiduated Lattices
title_fullStr Fuzzy n-Fold Filters of Pseudoresiduated Lattices
title_full_unstemmed Fuzzy n-Fold Filters of Pseudoresiduated Lattices
title_short Fuzzy n-Fold Filters of Pseudoresiduated Lattices
title_sort fuzzy n fold filters of pseudoresiduated lattices
url http://dx.doi.org/10.1155/2015/386210
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AT celestinlele fuzzynfoldfiltersofpseudoresiduatedlattices
AT marceltonga fuzzynfoldfiltersofpseudoresiduatedlattices