| 模糊BCK-代数及其模糊左(右)简理想 |
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| 引用本文： | 彭家寅.模糊BCK-代数及其模糊左(右)简理想[J].计算机科学,2016,43(Z11):50-55. |
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| 作者姓名： | 彭家寅 |
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| 作者单位： | 内江师范学院数学与信息科学学院 内江641199 |
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| 摘 要： | 将Dib的模糊空间和模糊二元运算的概念引入BCK-代数中,给出了研究模糊BCK-代数的一个新方法。提出了模糊子代数、模糊左(右)简理想和模糊同态的概念,初步建立了新的模糊BCK-代数理论。结果表明,经典的 BCK-代数之模糊子代数、模糊左右简理想都是新理论的特例,因而这种新方法提供了发展模糊BCK-代数理论的一个有力工具。
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| 关 键 词： | 模糊空间 模糊二元运算 模糊BCK-代数 模糊左(右)简理想 模糊同态 |
Fuzzy BCK-algebras and its Fuzzy Left (Right) Reduced Ideals |
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| PENG Jia-yin.Fuzzy BCK-algebras and its Fuzzy Left (Right) Reduced Ideals[J].Computer Science,2016,43(Z11):50-55. |
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| Authors: | PENG Jia-yin |
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| Affiliation: | School of Mathematics and Information Science,Neijiang Normal University,Neijiang 641199,China |
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| Abstract: | Introducing the concepts of fuzzy spaces and fuzzy binary operations proposed by Dib into BCK-algebra,a new aroappch to study fuzzy BCK-algebra was given.The concepts of fuzzy subalgebras,fuzzy left (right) reduced idealsand fuzzy homomorphisms of fuzzy BCK-algebras were put forward.A new theory of fuzzy BCK algebra was preliminarily established.The results show that the classical fuzzy sub-algebra and fuzzy left (right) reduced ideal of BCK-algebra are the special cases of the new theory,so the new method provides a powerful tool to develop the theory of fuzzy BCK-algebras. |
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| Keywords: | Fuzzy space Fuzzy binary operation Fuzzy BCK-algebra Fuzzy left (right) reduced ideal Fuzzy homomorphism |
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