Rough Fuzzy Ideals and Rough Fuzzy Prime Ideals in Semigroups
Hongxing Li · Mohu xitong yu shuxue · 2007
Based on rough set theory,we study the mathematical structure on the fuzzy semigroup.First,the lower and upper rough fuzzy semigroup,the left and the right rough fuzzy ideal and the rough fuzzy prime ideal are defined.Then the properties of these mathematical structures are researched.We prove that the upper rough fuzzy semigroup and the left(right,two-side) ideal are the generalization of corresponding notions defined on the fuzzy semigroup.