Commun. Korean Math. Soc. 2016; 31(1): 17-25
Printed January 31, 2016
https://doi.org/10.4134/CKMS.2016.31.1.17
Copyright © The Korean Mathematical Society.
Young Bae Jun, Kyoung Ja Lee, and Chul Hwan Park
Gyeongsang National University, Hannam University, Ulsan College
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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