Generalized Diameters and Rabin Numbers of Networks

On generalized fuzzy numbers

This paper first improves Chen and Hsieh’s definition of generalized fuzzy numbers, which makes it the generalization of definition of fuzzy numbers. Secondly, in terms of the generalized fuzzy numbers set, we introduce two different kinds of orders and arithmetic operations and metrics based on the λ-cutting sets or generalized λ-cutting sets, so that the generalized fuzzy numbers are integrat...

Rabin numbers of Butterfly networks

Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter d,(G), the (W 1 )-fault diameter D,,(G), and the w-Rabin number r,(G) have been used to measure network reliability and efficiency. In this paper, we study these parameters for an important class of parallel networks Butterfly networks. The main result of this paper is to d...

Stirling Numbers and Generalized Zagreb Indices

We show how generalized Zagreb indices $M_1^k(G)$ can be computed by using a simple graph polynomial and Stirling numbers of the second kind. In that way we explain and clarify the meaning of a triangle of numbers used to establish the same result in an earlier reference.

Ranking of generalized fuzzy numbers using distance measure and similarity measure

New Generalized Interval Valued Intuitionistic Fuzzy Numbers

The aim of this paper is investigate the notion of a generalized interval valued intuitionistic fuzzy number (GIVIFN), which extends the interval valuedintuitionistic fuzzy number. Firstly, the concept of GIVIFNBs is introduced.Arithmetic operations and cut sets over GIVIFNBBs are investigated. Then the values and ambiguities of the membership degree and the non-membership degree and the value ...