Abstract and Applied Analysis

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

Zhen Ming Ma

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 736872, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512241

Digital Object Identifier
doi:10.1155/2013/736872

Mathematical Reviews number (MathSciNet)
MR3147858

Citation

Ma, Zhen Ming. Some Types of Generalized Fuzzy $n$ -Fold Filters in Residuated Lattices. Abstr. Appl. Anal. 2013 (2013), Article ID 736872, 8 pages. doi:10.1155/2013/736872. https://projecteuclid.org/euclid.aaa/1393512241


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