Some Types of Generalized Fuzzy n‐Fold Filters in Residuated Lattices

Zhen Ming Ma

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: Fuzzy filters and their generalized types have been extensively studied in 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.

Date: 2013
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https://doi.org/10.1155/2013/736872

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:736872

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