%0 Journal Article %T Filter theory in MTL-algebras based on Uni-soft property %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Muhiuddin, G. %A Al-roqi, A.M. %A Aldhafeeri, S. %D 2017 %\ 12/30/2017 %V 43 %N 7 %P 2293-2306 %! Filter theory in MTL-algebras based on Uni-soft property %K MTL-algebras‎ %K ‎(Boolean) filter‎ %K ‎(Boolean) uni-soft filter‎ %R %X ‎The notion of (Boolean) uni-soft filters‎ ‎in MTL-algebras is introduced‎, ‎and several properties of them are‎ ‎investigated‎. ‎Characterizations of (Boolean) uni-soft filters are discussed‎, ‎and some (necessary and sufficient) conditions‎ ‎for a uni-soft filter to be Boolean are provided‎. ‎The condensational property for a Boolean uni-soft filter is established. %U http://bims.iranjournals.ir/article_1104_0122114dd4208fd2c85fb7f526d0e470.pdf