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区间值(∈,∈∨q)-模糊B-代数(英文) 被引量:4

Interval Valued(∈,∈∨q)-fuzzy B-algebras
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摘要 模糊区间值与区间值模糊集之间的重于关系的概念被考虑,它们分别是普通模糊点与模糊集之间重于关系的推广.利用这种思想,引入了区间值(∈,∈∨q)-模糊B-代数的概念,讨论了它们的基本性质和等价描述,指出阀限区间值模糊B-代数的概念是阀限模糊B-代数的概念的推广. We introduce the notions of quasi-coincidence with relation between a fuzzy interval value and an interval valued fuzzy set,which is generalization quasi-coincidence with relation of ordinary fuzzy point and fuzzy set.With this objective in view,we introduce the notion of interval valued(∈,∈∨q)-fuzzy B-algebras,and discuss their basic properties and some equivalent descriptions.It's pointed that an interval valued fuzzy B-algebra with thresholds is an important generalization of a fuzzy B-algebra with thresholds in B-algebras.
作者 彭家寅
出处 《内江师范学院学报》 2012年第2期1-4,共4页 Journal of Neijiang Normal University
基金 国家自然科学基金(11071178)
关键词 B-代数 区间值(∈ ∈∨q)-模糊B-代数 阀限区间值模糊B-代数 B-algebra interval valued(∈ ∈∨q)-fuzzy B-algebra interval valued fuzzy B-algebra with thresholds
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