The notions of M-hemirings and L-fuzzy left h-ideals with operators in M-hemirings are introduced, and some properties are investigated. Given an L-fuzzy left h-ideal with operators, a new L-fuzzy left h-ideal with op...The notions of M-hemirings and L-fuzzy left h-ideals with operators in M-hemirings are introduced, and some properties are investigated. Given an L-fuzzy left h-ideal with operators, a new L-fuzzy left h-ideal with operators is established. Using a collection of left M-h-ideals, L-fuzzy left h-ideals with operators are constructed. Moreover, the concept of M-Notherian M-hemiring is introduced and its characterization is given.展开更多
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-id...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.展开更多
在珍视的模糊集合被考虑的间隔的模糊间隔值的伪巧合的概念。事实上,这个概念是在一个模糊集合的一个模糊的点的伪巧合的一个概括概念。由使用这个新概念,作者定义间隔的观点珍视半的模糊 h 理想包围的() ;学习他们的相关性质。另外...在珍视的模糊集合被考虑的间隔的模糊间隔值的伪巧合的概念。事实上,这个概念是在一个模糊集合的一个模糊的点的伪巧合的一个概括概念。由使用这个新概念,作者定义间隔的观点珍视半的模糊 h 理想包围的() ;学习他们的相关性质。另外,作者也与阀值扩大模糊亚群的概念到珍视的间隔的概念模糊与在半戒指的阀值 h 理想。展开更多
基金Foundation item: The NNSF (60474022) of China and the Key Science Foundation (2004Z002, D200529001) of Education Committee of Hubei Province.Acknowledgements The authors are highly grateful to referees for their valuable comments and suggestions for improving the paper.
文摘The notions of M-hemirings and L-fuzzy left h-ideals with operators in M-hemirings are introduced, and some properties are investigated. Given an L-fuzzy left h-ideal with operators, a new L-fuzzy left h-ideal with operators is established. Using a collection of left M-h-ideals, L-fuzzy left h-ideals with operators are constructed. Moreover, the concept of M-Notherian M-hemiring is introduced and its characterization is given.
基金Supported by the special item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050)
文摘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.
基金Supported by the National Natural Science Foundation of China under Grant No.60474022the Key Science Foundation of Education Committee of Hubei Province,China under Grant No.D200729003
文摘在珍视的模糊集合被考虑的间隔的模糊间隔值的伪巧合的概念。事实上,这个概念是在一个模糊集合的一个模糊的点的伪巧合的一个概括概念。由使用这个新概念,作者定义间隔的观点珍视半的模糊 h 理想包围的() ;学习他们的相关性质。另外,作者也与阀值扩大模糊亚群的概念到珍视的间隔的概念模糊与在半戒指的阀值 h 理想。