Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2012; 27(3): 465-475

Printed September 1, 2012

https://doi.org/10.4134/CKMS.2012.27.3.465

Copyright © The Korean Mathematical Society.

Fuzzy ideals generated by fuzzy subsets in semigroups

Inheung Chon

Seoul Women's University

Abstract

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We characterize the fuzzy ideal generated by a fuzzy subset in a semigroup and the fuzzy interior ideal generated by a fuzzy subset in a semigroup. Our work generalizes the characterizations ([8]) of those fuzzy ideals generated by fuzzy subsets in semigroups with an identity element.

Keywords: t-norm, fuzzy ideal, fuzzy interior ideal

MSC numbers: 20N25

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