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Jianming Zhan Wiesław A. Dudek Young Bae Jun 《Soft Computing - A Fusion of Foundations, Methodologies and Applications》2009,13(1):13-21
We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new
idea, we introduce the notions of interval valued -fuzzy filters of pseudo BL-algebras and investigate some of their related properties. Some characterization theorems of these generalized interval valued
fuzzy filters are derived. The relationship among these generalized interval valued fuzzy filters of pseudo BL-algebras is considered. Finally, we consider the concept of implication-based interval valued fuzzy implicative filters of
pseudo BL-algebras, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed. 相似文献
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Xueling Ma Jianming Zhan Yang Xu 《Soft Computing - A Fusion of Foundations, Methodologies and Applications》2007,11(11):1079-1087
In this paper, we introduce the notions of interval valued -fuzzy filters and interval valued -fuzzy Boolean (implicative) filters in R
0-algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy filters
are derived. In particular, we prove that an interval valued fuzzy set F in R
0-algebras is an interval valued -fuzzy Boolean filter if and only if it is an interval valued -fuzzy implicative filter. 相似文献
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