On super-mean-valued functions and semi-polar sets

On simultaneously remotal sets in spaces of vector-valued functions

In this paper we formulate the notions of simultaneously remotal and that of simultaneously densely remotal sets. We exhibit large classes of Banach spaces which have subspaces, whose unit ball is a simultaneously remotal set. We also study them in spaces of vectorvalued function spaces.

Interval-Valued Fuzzy Sets for Color Image Super-Resolution

In this work we associate an Interval-Valued Fuzzy Set with an image, so that the membership of ecah pixel represents the intensities of itself and its neighbourhood. Based on this set we propose a new simple super-resolution algorithm for color images. We show some experimental results and study how the δ parameter has influence on the results obtained by the algorithm.

L-valued Fuzzy Rough Sets

In this paper, we take a GL-quantale as the truth value table to study a new rough set model—L-valued fuzzy rough sets. The three key components of this model are: an L-fuzzy set A as the universal set, an L-valued relation of A and an L-fuzzy set of A (a fuzzy subset of fuzzy sets). Then L-valued fuzzy rough sets are completely characterized via both constructive and axiomatic approaches. 

On Super mean graphs

Let G be a (p, q) graph and let f : V (G) → {1, 2, 3, · · · , p + q} be an injection. For each edge e = uv, let f∗(e) = (f(u)+f(v))/2 if f(u)+f(v) is even and f∗(e) = (f(u)+f(v)+1)/2 if f(u) + f(v) is odd. Then f is called a super mean labeling if f(V ) ∪ {f∗(e) : e ∈ E(G)} = {1, 2, 3, · · · , p+ q}. A graph that admits a super mean labeling is called a super mean graph. In this paper we presen...

On Pre-θ-Open Sets and Two Classes of Functions