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引入了λ交软MTL-滤子、强交软MTL-滤子、交软MTL-滤子的概念,其中交软MTL-滤子是λ交软MTL-滤子的特例。讨论了λ交软MTL-滤子的刻画、性质和运算。给出了λ交软MTL-滤子在同态下像和逆像的性质。 相似文献
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伪MTL-代数(WPBL-代数)的正规滤子 总被引:5,自引:0,他引:5
给出伪MTL-代数(WPBL-代数)的一些新性质。通过一个重要反例说明了伪BL-代数正规滤子的充要条件在伪MTL-代数(WPBL-代数)中不再成立,并给出伪MTL-代数(WPBL-代数)正规滤子的一个新的等价条件。利用这些结果,建立了伪MTL-代数(WPBL-代数)的商代数结构。 相似文献
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Liu Lianzhen 《Information Sciences》2011,181(7):1369-57
The aim of this paper is to study the existences of Bosbach states and Rie?an states on finite monoidal t-norm based algebras (MTL-algebras for short). We give some examples to show that there exist MTL-algebras having no Bosbach states and Rie?an states. The conditions under which MTL-algebras have Bosbach states and Rie?an states are investigated, respectively. We prove that Rie?an states on MTL-algebras are reduced to states on IMTL-algebras. Furthermore, the necessary and sufficient conditions for finite linearly ordered locally finite MTL-algebras and peculiar MTL-algebras having Bosbach states and Rie?an states are obtained, respectively. In addition, the notions of pseudo-quasi-equivalent and a subalgebra under pseudo-quasi-equivalent are proposed and some of their properties are investigated. 相似文献
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