This paper addresses the problem of evaluating a subset of the range of a vector-valued function. It is based on a work by Goldsztejn and Jaulin which provides methods based on interval analysis to address this problem when the dimension of the domain and co-domain of the function are equal. This paper extends this result to vector-valued functions with domain and co-domain of different dimensi...

In view of multi-attribute decision-making problems with interval numbers in social economy and engineering system, this paper defines and analyzes the basic operational rule, normalized method, sequence comparison strategy, and the calculating formula for the distance of interval numbers and interval number sequence. It presents weighted TOPSIS decision-making model based on interval numbers o...

We discuss the solution to the interval algebraic systemA x b involving interval n n matrixA and interval vector b in directed interval arithmetic involving improper intervals We give some new relations for directed intervals which form the basis for a directed interval matrix algebra Using such relations we prove convergence of an iterative method formulated by L Kupriyanova under simple expli...

In this paper, the Multiple Attribute Group Decision Making (MAGDM) problems is based on the attribute weights calculated from completely unknown information using the Maximal Entropy OWA weights. The interval-valued intuitionistic fuzzy ordered weighted averaging (IIFOWA) operator is utilized to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the dec...

In this paper, an imprecise data classification is considered using new version of Fisher discriminator, namely interval Fisher. In the conventional formulation of Fisher, elements of within-class scatter matrix (related to covariance matrix between clusters) and between-class scatter matrix (related to covariance matrix of centers of clusters) have single values; but in the interval Fisher, th...