• Communications of the Korean Mathematical Society
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• v.23 no.1
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• pp.41-47
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• 2008

The notions of mote, beam and osculatory WFI-algebra are introduced, and several properties are investigated. Relations between osculatory WFI-algebra and associative WFI-algebra are provided. Characterizations of osculatory WFI-algebra are given.

• Honam Mathematical Journal
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• v.28 no.4
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• pp.559-572
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• 2006

The notion of simulative and mutant WFI-algebras is introduced, and several properties are investigated. Characterizations of a simulative WFI-algebra are established. A relation between an associative WFI-algebra and a simulative WFI-algebra is given. Some types for a simulative WFI-algebra to be mutant are found.

• Journal of applied mathematics & informatics
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• v.27 no.1_2
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• pp.375-384
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• 2009

Characterizations of simulative WFI-algebras are provided. The notion of commutators, doubly simulative parts, doubly simulative WFI-algebras, and WFI-morphisms are introduced. Using the notion of commutators, the conditions for a WFI-algebra to be simulative are given. Characterizations of doubly simulative WFI-algebras are discussed. Using the notion of doubly simulative WFI-algebras, a commutative pomonoid is established.

• Communications of the Korean Mathematical Society
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• v.25 no.3
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• pp.335-342
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• 2010

The structure of fuzzy topological spaces based on WFI-algebras is considered. The notions of WFI-fuzzy topological spaces and WFI-fuzzy continuous mappings are introduced, and several properties are investigated. A relation between WFI-homomorphism and WFI-fuzzy continuous mapping is given.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.925-932
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• 2008

The notion of weak filters in WFI-algebras is introduced. Relations between weak filters and concrete filters are established. A condition for a filter to be closed is given. Also, a condition for a filter to be a weak filter is provided. Characterizations of weak and concrete filters are discussed. A condition for a subalgebra to be a concrete filter is given.

• Bulletin of the Korean Mathematical Society
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• v.44 no.4
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• pp.691-699
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• 2007

The notion of perfect filters and concrete filters in WFI-algebras is introduced, and several properties are investigated. Relations between a filter, a perfect filter and a concrete filter are given, and characterizations of a perfect filter and a concrete filter are provided. An extension property for a concrete filter and a perfect filter is established.