In this paper, we introduce the complex FUZZY ordered weighted DISTANCE (CFOWD) measure. It is a new measure that uses the main characteristics of the the ordered weighted averaging (OWA) operator and uncertain information represented as complex FUZZY values. This measure includes a wide range of DISTANCE measures such as the complex FUZZY maximum DISTANCE, the complex FUZZY minimum DISTANCE, the normalized complex FUZZY DISTANCE (NCFD), the complex FUZZY ordered weighted Hamming DISTANCE (CFOWHD), complex FUZZY ordered weighted Euclidean DISTANCE (CFOWED), complex FUZZY ordered weighted geometric DISTANCE (CFOWGD), the normalized complex FUZZY Ham-ming DISTANCE (NCFHD) and the normalized complex FUZZY Euclidean DISTANCE (NCFED). We study some of its main properties. Finally, based on CFOWD measures, we give an illustrative example regarding the selected problem.

In this paper, we show that the computed DISTANCE between two FUZZY numbers using the FUZZY DISTANCE measure proposed by Chakra borty et al. [Mathematical and Computer Modeling 43 (2006) 254-261] is not always a FUZZY number. Then, we improve it and prove that the result of the revised DISTANCE is always a nonnegative FUZZY number.

Many ranking methods have been proposed so far. However, there is not any method which can always give a satisfactory solution for every situation. In this paper, we propose a method for ranking FUZZY numbers based on the DISTANCE method and compare the results with other ranking methods in some examples.

In this paper, we investigate the properties of some recently pro- posed FUZZY DISTANCE measures. We find out some shortcomings for these DISTANCEs and then the obtained results are illustrated by solving several examples and compared with the other FUZZY DISTANCEs.

The propose of this paper is to introduce a new FUZZY DISTANCE measure for FUZZY numbers. It computes the FUZZY DISTANCE between two FUZZY numbers. The metric properties of the proposed measure are also discussed in detail. Some numerical examples for computational implementation of the proposed method are also given.