This paper applies a new multi attribute decision-making (MADM) model to help companies for enterprise resource planning (ERP) selection problem based on Balanced Score Card method. This paper uses three-parameter interval grey numbers which is derived from Grey theory (was proposed by J. Deng). This numbers is used instead of linguistic variables. Beside, a new weighting method that outcomes f...

In this paper, we will introduce the notion of convergence two dimensional interval sequences and show that set all numbers is a metric space. Also, some ordinary vector norms be extended to vectors. Furthermore, give definitions statistical convergence, statistically Cauchy Cesaro summability for get relationships between them.

A standard for the notation of the most used quantities and operators in interval analysis is proposed.

In this paper we study t-norms on the lattice of closed subintervals of the unit interval. Unlike for t-norms on a product lattice for which there exists a straightforward characterization of t-norms which are join-morphisms, respectively meet-morphisms, the situation is more complicated for t-norms in interval-valued fuzzy set theory. In previous papers several characterizations were given of ...

This paper is expository. It is mainly a survey of some of our work on the algebraic systems that arise in fuzzy set theory and logic. We include some of the proofs here and refer to the papers [18, 19, 20, 21, 22] for further details. Our point of view is the algebraic one: when are the various systems that arise isomorphic, and what are their symmetries (automorphisms)? The bulk of the materi...

A standard algorithm for computing the QR factorization of a matrix A is Householder triangularization. Here this idea is generalized to the situation in which A is a quasimatrix, that is, a “matrix” whose “columns” are functions defined on an interval [a,b]. Applications are mentioned to quasimatrix leastsquares fitting, singular value decomposition, and determination of ranks, norms, and cond...

We previously investigated bladder cancer risk in a cohort of dyestuff workers who were heavily exposed to aromatic amines from 1922 through 1972. We updated the follow-up by 14 years (through 2003) for 590 exposed workers to include more than 30 years of follow-up since last exposure to aromatic amines. Expected numbers of deaths from bladder cancer and other causes were computed by use of nat...

in recent years, the problem of selecting and evaluating the suppliers in supply chain management has aroused considerable interest in business firms. owing to the development of information systems, reaching an appropriate decision for adopting discrete methods is a need. the researchers intend to present a new model in this paper as a contributing factor in the grey environment in which the r...

in this paper, we introduce a function in order to measure the distancebetween two order intervals of fuzzy numbers, and show that this function isa metric. we investigate some properties of this metric, and finally presentan application. we think that this study could provide a more generalframework for researchers studying on interval analysis, fuzzy analysis andfuzzy decision making.