Hesitant fuzzy semigroups with two frontiers
Bull. Korean Math. Soc. 0000 Vol. 31, No. 1, 17-25
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
MSC numbers : 20M12, 20M99, 08A72
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