Interval Valued(∈,∈∨q)-fuzzy B-algebras
Peng Jia-yin · Journal of Neijiang Normal University · 2012
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.