Abstract | ||
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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. |
Year | DOI | Venue |
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2009 | 10.1007/s00500-008-0288-x | Soft Computing - A Fusion of Foundations, Methodologies and Applications |
Keywords | DocType | Volume |
fuzzy filter,pseudo BL-algebras,generalized interval,fuzzy implicative filter,fuzzy interval value,fuzzy set,implication-based interval,Lukasiewicz system,characterization theorem,continuous-valued logic | Journal | 13 |
Issue | ISSN | Citations |
1 | 1432-7643 | 1 |
PageRank | References | Authors |
0.36 | 19 | 3 |
Name | Order | Citations | PageRank |
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Jianming Zhan | 1 | 67 | 7.89 |
Wieslaw A. Dudek | 2 | 256 | 29.20 |
Young Bae Jun | 3 | 1223 | 133.65 |