On fuzzy and interval-valued fuzzy subhyperlattice

We introduced the notions of fuzzy subhyperlattice and fuzzy ideal, listed equivalent conditions of fuzzy subhyperlattice and fuzzy ideal, concluded that the two different definitions of fuzzy ideal are equivalent, proved that the Cartesian product of two fuzzy subhyperlattices is a fuzzy subhyperla...

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Published in2010 2nd International Conference on Education Technology and Computer Vol. 5; pp. V5-214 - V5-218
Main Authors Yuming Feng, Limin Zou, Xingjian Zhou, Juan Gao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2010
Subjects
Cartesian product
Chemical engineering
Computer science
Computer science education
Educational institutions
Educational technology
Fuzzy sets
fuzzy subhyperlattice
ideal
intervalvalued
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Abstract We introduced the notions of fuzzy subhyperlattice and fuzzy ideal, listed equivalent conditions of fuzzy subhyperlattice and fuzzy ideal, concluded that the two different definitions of fuzzy ideal are equivalent, proved that the Cartesian product of two fuzzy subhyperlattices is a fuzzy subhyperlattice too and gave an example to show that the product of two fuzzy ideals may not be a fuzzy ideal. Then we generalized our results to interval-valued fuzzy version.
AbstractList We introduced the notions of fuzzy subhyperlattice and fuzzy ideal, listed equivalent conditions of fuzzy subhyperlattice and fuzzy ideal, concluded that the two different definitions of fuzzy ideal are equivalent, proved that the Cartesian product of two fuzzy subhyperlattices is a fuzzy subhyperlattice too and gave an example to show that the product of two fuzzy ideals may not be a fuzzy ideal. Then we generalized our results to interval-valued fuzzy version.
Author Yuming Feng
Limin Zou
Xingjian Zhou
Juan Gao
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  surname: Limin Zou
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  surname: Xingjian Zhou
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  organization: Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China
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  surname: Juan Gao
  fullname: Juan Gao
  email: lingpo8177@126.com
  organization: Dept. of Chem. Eng., ZiboVocational Inst., Zibo, China
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Snippet We introduced the notions of fuzzy subhyperlattice and fuzzy ideal, listed equivalent conditions of fuzzy subhyperlattice and fuzzy ideal, concluded that the...
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StartPage V5-214
SubjectTerms Cartesian product
Chemical engineering
Computer science
Computer science education
Educational institutions
Educational technology
Fuzzy sets
fuzzy subhyperlattice
ideal
intervalvalued
Title On fuzzy and interval-valued fuzzy subhyperlattice
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Volume 5
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