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 in | 2010 2nd International Conference on Education Technology and Computer Vol. 5; pp. V5-214 - V5-218 |
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Main Authors | , , , |
Format | Conference Proceeding |
Language | English |
Published |
IEEE
01.06.2010
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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. |
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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 |
Author_xml | – sequence: 1 surname: Yuming Feng fullname: Yuming Feng email: yumingfeng25928@163.com organization: Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China – sequence: 2 surname: Limin Zou fullname: Limin Zou email: limin-zou@163.com organization: Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China – sequence: 3 surname: Xingjian Zhou fullname: Xingjian Zhou email: zhouxj07@yeah.net organization: Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China – sequence: 4 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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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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