Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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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.

Hesitant fuzzy semigroups with two frontiers

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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