Interval-valued Fuzzy Ideals and Bi-ideals of a Semigroup

We apply the concept of interval-valued fuzzy sets to theory of semigroups. We give some properties of interval-valued fuzzy ideals and interval-valued fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type...

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Published inINTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol. 11; no. 4; pp. 259 - 266
Main Authors Cheong, Min-Seok, Hur, Kul
Format Journal Article
LanguageEnglish
Published 한국지능시스템학회 01.12.2011
Subjects
전기공학
interval-valued fuzzy ideal
interval-valued fuzzy set
interval-valued fuzzy bi-ideal
interval-valued fuzzy duo
interval-valued fuzzy semigroup
Online AccessGet full text
ISSN1598-2645
2093-744X
DOI10.5391/IJFIS.2011.11.4.259

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Abstract We apply the concept of interval-valued fuzzy sets to theory of semigroups. We give some properties of interval-valued fuzzy ideals and interval-valued fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type of semigroups in terms of interval-valued fuzzy ideals and intervalvalued fuzzy bi-ideals. KCI Citation Count: 5
AbstractList We apply the concept of interval-valued fuzzy sets to theory of semigroups. We give some properties of interval-valued fuzzy ideals and interval-valued fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type of semigroups in terms of interval-valued fuzzy ideals and intervalvalued fuzzy bi-ideals. KCI Citation Count: 5
Author Kul Hur
Minseok Cheong
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Cites_doi 10.1016/0165-0114(81)90018-X
10.1016/S0019-9958(65)90241-X
10.1016/0165-0114(87)90148-5
10.1016/0165-0114(94)90148-1
10.5391/JKIIS.2009.19.3.425
10.1016/0020-0255(75)90036-5
10.5831/HMJ.2010.32.4.711
10.5831/HMJ.2010.32.4.593
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Keywords interval-valued fuzzy ideal
interval-valued fuzzy set
interval-valued fuzzy bi-ideal
interval-valued fuzzy duo
interval-valued fuzzy semigroup
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Title Interval-valued Fuzzy Ideals and Bi-ideals of a Semigroup
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