We introduce the notion of $m$-polynomial harmonically convex interval-valued function. A relationship between a given function and its component real-valued functions is pointed out. Moreover, some new Hermite--Hadamard type results are established for this class functions. Our complement extend existing in literature. By taking $m\geq 2$, we derive loads interesting inclusions. anticipate tha...

Grey systems and interval valued fuzzy sets appear to be similar concepts. This abstract provides a brief introduction to grey systems and compares them to interval valued fuzzy sets. We argue that grey system is similar to an interval fuzzy set, but has different properties. Grey systems focus on the interval range of the system property itself, but interval fuzzy sets consider the fuzzy membe...

In this paper, we first introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we consider the interval valued ( , fuzzy (implicative) ideals of pseudo-MV algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy (implicative) ideals are derived. ) q ∈∈∨ −