Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras |
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| Authors: | Jia-yin Peng |
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| Affiliation: | [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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