Some Types of Generalized Fuzzyn-Fold Filters in Residuated Lattices | Zendy

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Some Types of Generalized Fuzzyn-Fold Filters in Residuated Lattices

Author(s) -

Zhen Ming

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/736872

Subject(s) - algorithm , mathematics , fuzzy logic , quotient , artificial intelligence , computer science , combinatorics

Fuzzy filters and their generalized types have been extensively studiedin the literature. In this paper, a one-to-one correspondence between the set of all generalized fuzzy filters and the set of all generalized fuzzy congruences is established, a quotient residuated lattice with respect to generalized fuzzy filter is induced, and several types of generalized fuzzy n-fold filters such as generalized fuzzy n-fold positive implicative (fantastic and Boolean) filters are introduced; examples and results are provided to demonstrate the relations among these filters

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