| Interval Valued Intuitionistic （S, T）-fuzzy Hv-submodules |
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| 作者姓名： | Jian Ming ZHAN W.A. DUDEK |
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| 作者单位： | [1]Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, P. R. China [2]Institute of Mathematics and Computer Science, Wroctaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroctaw, Poland |
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| 基金项目： | The research of the first author is partially supported by the National Natural Science Foundation of China （60474022） and the Key Science Foundation of Education Committee of Hubei Province, China （2004Z002; D200529001）Acknowledgement The authors are highly grateful to the referees for their valuable comments and suggestions for improving the paper. |
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| 摘 要： | On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K. Atanassov, the notion of interval valued intuitionistic fuzzy Hv-submodules of an Hv-module with respect to a t-norm T and an s-norm S is given and the characteristic properties are described. The homomorphic image and the inverse image are investigated. In particular, the connections between interval valued intuitionistic （S, T）-fuzzy Hv-submodules and interval valued intuitionistic （S, T）-fuzzy submodules are discussed.
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| 关 键 词： | Hν模块 （S T）模糊子模 区间值 同形成像 |
| 收稿时间： | 2005-10-28 |
| 修稿时间： | 2005-10-282006-02-23 |
Interval Valued Intuitionistic (S, T)–fuzzy H
v
–submodules |
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| Jian Ming ZHAN W.A. DUDEK.Interval Valued Intuitionistic (S, T)–fuzzy H
v
–submodules[J].Acta Mathematica Sinica,2006,22(4):963-970. |
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| Authors: | Jian Ming Zhan W A Dudek |
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| Institution: | (1) Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, P. R. China;(2) Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50–370 Wrocław, Poland |
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| Abstract: | On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by
K. Atanassov, the notion of interval valued intuitionistic fuzzy H
v
–submodules of an H
v
–module with
respect to a t–norm T and an s–norm S is given and the characteristic properties are described. The
homomorphic image and the inverse image are investigated. In particular, the connections between
interval valued intuitionistic (S, T)–fuzzy H
v
–submodules and interval valued intuitionistic (S, T)–fuzzy
submodules are discussed.
The research of the first author is partially supported by the National Natural Science Foundation of China
(60474022) and the Key Science Foundation of Education Committee of Hubei Province, China (2004Z002;
D200529001) |
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| Keywords: | H v – module interval valued intuitionistic (S T)– fuzzy H v – submodule interval valued intuitionistic (S T)– fuzzy submodule |
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