| 广义模糊子半环的广义模糊双(内)理想 |
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| 引用本文： | 周建勋,廖祖华,李雍,胡淼菡,芮明力.广义模糊子半环的广义模糊双(内)理想[J].数学的实践与认识,2014(2). |
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| 作者姓名： | 周建勋 廖祖华 李雍 胡淼菡 芮明力 |
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| 作者单位： | 江南大学理学院;无锡市教育研究中心; |
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| 基金项目： | 国家自然科学基金(11371174,61170121);江苏省普通高校研究生科研创新计划项目(CXLX13733) |
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| 摘 要： | 给出了广义模糊子半环的广义模糊双(内)理想的概念.运用截集、模糊子集的和与积得到了广义模糊子半环的广义模糊双(内)理想的等价条件及性质,同时还得到了在半环的同态映射下同态像及同态原像的性质.当λ=0,μ=1时,得到一般意义下的模糊子半环的模糊双(内)理想的相应结果.
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| 关 键 词： | 广义模糊子半环 广义模糊双理想 广义模糊内理想 同态像 同态原像 |
Generalized Fuzzy Bi-Ideals(Interior Ideals) in Generalized Fuzzy Subsemirings |
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| Abstract: | The definitions of generalized fuzzy bi-ideals(resp.interior ideals) in generalized fuzzy subsemirings are introduced.Using level subsets,eigenfunctions,sum and product of fuzzy subsets,the equivalent conditions and the properties of generalized fuzzy bi-ideals(resp.interior ideals) in generalized fuzzy subsemirings are investigated.Otherwise,the properties of homomorphic image and homomorphic preimage in a homomorphism of semirings are shown.Whenλ = 0,μ = 1,we get the corresponding results of ordinary fuzzy bi-ideals(resp.interior ideals) in fuzzy subsemirings. |
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| Keywords: | generalized fuzzy subsemirings generalized fuzzy bi-ideals generalized fuzzy interior ideals homomorphic image homomorphic preimage |
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