Interval valued (\in,\in\!\vee\,q) -fuzzy filters of pseudo BL-algebras |
| |
| Authors: | Jianming Zhan Wiesław A Dudek Young Bae Jun |
| |
| Affiliation: | (1) Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, People’s Republic of China;(2) Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland;(3) Department of Mathematics Education, Gyeongsang National University, Chinju, 660-701, South Korea |
| |
| Abstract: | 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. |
| |
| Keywords: | Pseudo BL-algebra Filter  Interval valued  gif" alt="$$(\in \in\!\vee\ -fuzzy filter" target="_blank">q)$$" align="middle" border="0"> -fuzzy filter Fuzzy logic Implication operator |
| 本文献已被 SpringerLink 等数据库收录！ |
|
