Let N0 be the set of all non-negative integers and P(N0) be its the power set. An integer additive set-indexer (IASI) of a graph G is an injective function f : V (G) ! P(N0) such that the induced function f+ : E(G) ! P(N0) defined by f+(uv) = f(u) + f(v) is also injective, where f(u) + f(v) is the sum set of f(u) and f(v). An integer additive set-indexer f is said to be a weak integer additive ...

the main goal of this paper is to introduce and study a new class of function via the notions of $e$-$theta$-open sets and $e$-$theta$-closure operator which are defined by özkoç and aslım cite{10} called weakly $er$-open functions and $e$-$theta$-open functions. moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing to...

In this paper we present some properties concerning non-atomicity of regular null-additive fuzzy set multifunctions. Key–words: fuzzy, null-additive, regular, atom, non-atomic.

This paper introduces the ―min-additive‖ (also called ―min-average‖) utility function. This function is a weighted combination of an additive utility function and a minimization over a set of single attribute utility functions. The weighting is accomplished by exploiting information already contained in the additive and minimization models. Four forms of the min-additive (MA) model are presente...

There is introduced the notion of σ-null-additive set function as a generalization of the classical measure. There are proved the relations to disjoint and chain variations. The general Lebesgue decomposition theorem is obtained. AMS Mathematics Subject Classification (2000): 28A25

An integer additive set-indexer is defined as an injective function f : V (G) → 2N0 such that the induced function gf : E(G) → 2N0 defined by gf (uv) = f(u) + f(v) is also injective, where f(u) + f(v) is the sumset of f(u) and f(v). If gf (uv) = k ∀ uv ∈ E(G), then f is said to be a k-uniform integer additive set-indexers. An integer additive set-indexer f is said to be a weak integer additive ...