| 半群的模糊内理想 |
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| 引用本文： | 詹建明,马学玲. 半群的模糊内理想[J]. 数学研究及应用, 2008, 28(1): 103-110. DOI: 10.3770/j.issn:1000-341X.2008.01.014 |
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| 作者姓名： | 詹建明 马学玲 |
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| 作者单位： | Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, China |
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| 摘 要： | Abstract The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is a generalization of the quasi-coincidence of a fuzzy point in a fuzzy set. With this new concept, the interval valued （∈, ∈ Vq）-fuzzy interior ideal in semigroups is introduced. In fact, this kind of new fuzzy interior ideals is a generalization of fuzzy interior ideals in semigroups. In this paper, this kind of fuzzy interior ideals and related properties will be investigated. Moreover, the concept of a fuzzy subgroup with threshold is extended to the concept of an interval valued fuzzy interior ideal with threshold in semigroups.
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| 关 键 词： | fuzzy interior ideals interval valued (∈,∈ Vq)-fuzzy interior ideals interval valued fuzzy interior ideals with thresholds 半群 模糊内理想 Semigroups fuzzy subgroup extended fuzzy interior ideals threshold related properties paper kind fact semigroups introduced concept valued interval generalization fuzzy point fuzzy set |
| 收稿时间： | 2006-04-07 |
| 修稿时间： | 2006-08-26 |
On Fuzzy Interior Ideals in Semigroups |
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| ZHAN Jian-ming and MA Xue-ling. On Fuzzy Interior Ideals in Semigroups[J]. Journal of Mathematical Research with Applications, 2008, 28(1): 103-110. DOI: 10.3770/j.issn:1000-341X.2008.01.014 |
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| Authors: | ZHAN Jian-ming and MA Xue-ling |
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| Affiliation: | Department of Mathematics,Hubei Institute for Nationalities,Hubei 445000,China |
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| Abstract: | The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is a generalization of the quasi-coincidence of a fuzzy point in a fuzzy set.With this new concept,the interval valued (∈,∈ Vq)-fuzzy interior ideal in semigroups is introduced.In fact,this kind of new fuzzy interior ideals is a generalization of fuzzy interior ideals in semigroups.In this paper,this kind of fuzzy interior ideals and related properties will be investigated.Moreover,the concept of a fuzzy subgroup with threshold is extended to the concept of an interval valued fuzzy interior ideal with threshold in semigroups. |
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| Keywords: | fuzzy interior ideals interval valued $(in,invee q)$-fuzzy interior ideals interval valued fuzzy interior ideals with thresholds. |
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