Abstract. In this paper, we investigate the properties of join preserving maps in complete residuated lattices. We define join approximation operators as a generalization of fuzzy rough sets in complete residuated lattices. Moreover, we investigate the relations between join preserving operators and Alexandrov fuzzy topologies. We give their examples.

Received: February 28, 2014

AMS Subject Classification: 03E72, 03G10, 06A15, 06F07

Key Words and Phrases: complete residuated lattices, fuzzy preorders, join, meet, join preserving maps, join approximation operators, Alexandrov fuzzy topologies

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DOI: 10.12732/ijpam.v92i5.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 5
Pages: 703 - 718

This work is licensed under the Creative Commons Attribution International License (CC BY).

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