IJPAM: Volume 96, No. 4 (2014)

SOME PROPERTIES OF APPROXIMATION OPERATORS

Yong Chan Kim
Department of Mathematics
Gangneung-Wonju University
Gangneung, Gangwondo, 210-702, KOREA


Abstract. In this paper, we show that a family of upper approximation operators has a join and a family of lower approximation operators has a meet in complete residuated lattices. We investigate relations between their families.

Received: June 29, 2014

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

Key Words and Phrases: complete residuated lattices, fuzzy preorders, upper(lower) approximation operators, joins, meets

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DOI: 10.12732/ijpam.v96i4.9 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: 96
Issue: 4
Pages: 539 - 551


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