Young Bae Jun, Kyoung Ja Lee, and Chul Hwan Park Gyeongsang National University, Hannam University, Ulsan College
Abstract : The notion of hesitant fuzzy semigroups with two frontiers is introduced, and related properties are investigated. Relations between a hesitant fuzzy semigroups with a frontier and a hesitant fuzzy semigroups with two frontiers are discussed. It is shown that the hesitant intersection of two hesitant fuzzy semigroups with two frontiers is a hesitant fuzzy semigroup with two frontiers. We provide an example to show that the hesitant union of two hesitant fuzzy semigroups with two frontiers may not be a hesitant fuzzy semigroup with two frontiers.
Keywords : hesitant fuzzy semigroup (with two frontiers), hesitant intersection, hesitant union
