• Honam Mathematical Journal
• /
• v.29 no.2
• /
• pp.279-288
• /
• 2007

The notion of fuzzy n-fold implicative ordered filters in implicative semigroups is introduced, and related properties are investigated. Relations between fuzzy ordered filters and fuzzy n-fold implicative ordered filters are provided. Characterizations of a fuzzy n-fold implicative ordered filter are given, and an extension property for a fuzzy n-fold implicative ordered filter is obtained.

• Journal of applied mathematics & informatics
• /
• v.13 no.1_2
• /
• pp.153-163
• /
• 2003

The fuzzification of a positive implicative filter is considered, and some of properties are investigated. The relation among fussy filter, fuzzy n-fold implicative filter, and fuzzy n-fold positive implication filter is discussed.

• Communications of the Korean Mathematical Society
• /
• v.19 no.1
• /
• pp.11-21
• /
• 2004

We discuss the n-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of n-fold implicative/fantastic filters are given. Conditions for a filter to be n-fold implicative are provided. Extension property for an n-fold fantastic filter is established.

• The Pure and Applied Mathematics
• /
• v.19 no.2
• /
• pp.127-136
• /
• 2012

In this paper, we introduce the notion of an implicative vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be an implicative vague filter, and we characterize implicative vague filters in BE-algebras. We define the notion of $n$-fold implicative vague filters in BE-algebras and we give characterizations of $n$-fold implicative vague filters and $n$-fold implicative BE-algebras.

• Journal of applied mathematics & informatics
• /
• v.34 no.5_6
• /
• pp.527-536
• /
• 2016

In this paper, we introduce the notions about int-soft mighty filters, int-soft n-fold mighty filters, and int-soft n-fold positive implicative filters of BE-algebras. We investigate their properties and provide conditions which have connecting relationship among int-soft filters, int-soft mighty filters, and int-soft positive implicative filters. Also, characterizations of int-soft n-fold mighty filters and int-soft n-fold positive implicative filters are provided in BE-algebras.

• Journal of applied mathematics & informatics
• /
• v.33 no.3_4
• /
• pp.459-467
• /
• 2015

The notion of int-soft implicative filters of a BE-algebra is introduced, and related properties are investigated. The problem of clas- sifying int-soft positive implicative by their γ-inclusive filter is solved. We provide conditions for a soft set to be an int-soft filter. We make a new int-soft implicative filter from old one.