In this paper, motivated by the notion of generalized single valued neutrosophic graphs of first type, we defined a new neutrosophic graphs named generalized interval valued neutrosophic graphs of first type (GIVNG1) and presented a matrix representation for it and studied few properties of this new concept. The concept of GIVNG1 is an extension of generalized fuzzy graphs (GFG1) and generalize...

In this paper, we study some of the properties of interval valued fuzzy generalized semi-preirresolute mappings.

Data in many real-life engineering and economical problems suffer from inexactness. Herein we assume that we are given some intervals in which the data can simultaneously and independently perturb. We consider a generalized linear fractional programming problem with interval data and present an efficient method for computing the range of optimal values. The method reduces the problem to solving...

To offer a generic frame which groups together several interval algebra generalizations, we simply define a generalized interval as a tuple of intervals. After introducing the generalized relations we focus on the consistency problem of generalized constraint networks and we present sets of generalized relations for which this problem is tractable, in particular the set of the strongly-preconve...

Marathe, M.V., R. Ravi and C. Pandu Rangan, Generalized vertex covering in interval graphs. Discrete Applied Mathematics 39 (1992) 87-93. Given an integer i and an undirected graph G. the genera!ized i-verkx OFJPY pr&!z~ is to find a minimum set of vertices such that all chques in G of size i contain at least one vertex from this set. This problem is known to be NP-complete for chordal graphs w...

In [8] Markov interval maps were introduced and it was shown that any two inverse limits with Markov interval bonding maps with the same pattern were homeomorphic. In this article we introduce generalized Markov interval functions, which are a generalization of Markov interval maps to set-valued functions, and show that any two generalized inverse limits with generalized Markov interval bonding...

The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus eecient solution of interval algebraic problems. This paper generalizes the distributive relations, known by now, on multiplication and addition of proper and improper intervals. A complete proof of the main results is presented, demonstrating an...

We study the classical generalized gln Landau-Lifshitz (L-L) model with special boundary conditions that preserve integrability. We explicitly derive the first non-trivial local integral of motion, which corresponds to the boundary Hamiltonian for the sl2 L-L model. Novel expressions of the modified Lax pairs associated to the integrals of motion are also extracted. The relevant equations of mo...