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HESITANT FUZZY SEMIGROUPS WITH TWO FRONTIERS

  • Jun, Young Bae (Department of Mathematics Education Gyeongsang National University) ;
  • Lee, Kyoung Ja (Department of Mathematics Education Hannam University) ;
  • Park, Chul Hwan (Faculty of Mechanical Engineering Ulsan College)
  • Received : 2015.03.09
  • Published : 2016.01.31

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

References

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