Some Types of Generalized Fuzzy -Fold Filters in Residuated Lattices

Zhen Ming Ma

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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 -fold filters such as generalized fuzzy -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:736872

DOI: 10.1155/2013/736872

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