| Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras |
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| 作者姓名： | PENG Jia-yin Key Laboratory of Numerical Simulation of Sichuan Province Neijiang China Dept.of Math. Neijiang Teachers College Neijiang China. |
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| 作者单位： | PENG Jia-yin Key Laboratory of Numerical Simulation of Sichuan Province，Neijiang 641112，China; Dept.of Math.，Neijiang Teachers College，Neijiang 641112，China. |
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| 基金项目： | Supported by the special item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050) |
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| 摘 要： | The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are introduced, several appropriate examples are provided, and their some properties are investigated. The relations among fuzzy ideal, fuzzy H-ideal, fuzzy dot ideal and fuzzy dot H-ideals in BCH- algebras are discussed, several equivalent depictions of fuzzy dot ideal are obtained. How to deal with the homomorphic image and inverse image of fuzzy dot ideals （fuzzy dot H-ideals） are studied. The relations between a fuzzy dot ideal （fuzzy dot H-ideal） in BCH-algebras and a fuzzy dot ideal （fuzzy dot H-ideal） in the product algebra of BCH-algebras are given.
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| 关 键 词： | 代数 模糊数学 同态现象 数学分析 |
| 收稿时间： | 6 November 2007 |
Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras |
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| PENG Jia-yin Key Laboratory of Numerical Simulation of Sichuan Province,Neijiang ,China, Dept.of Math.,Neijiang Teachers College,Neijiang ,China..Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras[J].Applied Mathematics A Journal of Chinese Universities,2008,23(1):101-106. |
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| Authors: | Jia-yin Peng |
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| Institution: | [1]Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang 641112, China [2]Dept. of Math., Neijiang Teachers College, Neijiang 641112, China. |
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| Abstract: | The notions of fuzzy dot ideals and fuzzy dot H-ideals in BCH-algebras are intro duced,several appropriate examples are provided,and their some properties are investigated.The relations among fuzzy ideal,fuzzy H-ideal,fuzzy dot ideal and fuzzy dot H-ideals in BCH algebras are discussed,several equivalent depictions of fuzzy dot ideal are obtained. How to deal with the homomorphic image and inverse image of fuzzy dot ideals (fuzzy dot H-ideals) are studied. The relations between a fuzzy dot ideal (fuzzy dot H-ideal) in BCH-algebras and a fuzzy dot ideal (fuzzy dot H-ideal) in the product algebra of BCH-algebras are given. |
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| Keywords: | BCH-algebra fuzzy (dot) ideal fuzzy (dot) H-ideal homomorphism |
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