# NEW TYPES OF FUZZY BCK-FILTERS

• Jun, Young-Bae (Department of Mathematics Education (and RINS) Gyeongsang National University)
• Received : 2009.01.29
• Accepted : 2009.03.18
• Published : 2009.06.25

#### Abstract

Using more general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset, the notion of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters is introduced, and related properties are investigated. Many characterizations of ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filters are provided. Relations between an ($({\in},{\in}{\bigvee}q_{\kappa})$)-fuzzy BCK-filter and a fuzzy BCK-filter are established.

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