ABSORBENT ORDERED FILTERS AND THEIR FUZZIFICATIONS IN IMPLICATIVE SEMIGROUPS
نویسندگان
1 Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
2 Department of Information Technology, Salalah College of Technology, Post Box: 608, Salalah-211, Sultanate of Oman
3 Department of Mathematics, University of Ulsan, Ulsan 680-749, Korea
doi
10.22111/ijfs.2009.219چکیده
The notion of absorbent ordered filters in implicative semigroupsis introduced, and its fuzzification is considered. Relations among (fuzzy) orderedfilters, (fuzzy) absorbent ordered filters, and (fuzzy) positive implicativeordered filters are stated. The extensionproperty for (fuzzy) absorbent orderedfilters is established. Conditions for (fuzzy) ordered filters to be (fuzzy)absorbent ordered filters are provided. The notions of normal/maximal fuzzyabsorbent ordered filters and complete absorbent ordered filters are introducedand their properties are investigated.
