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Bull. Korean Math. Soc. -0001; 31(1): 17-25

Printed November 30, -0001

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

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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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