Article history: Received 6 January 2010 Revised 11 November 2010 Accepted 15 November 2010 Available online 21 November 2010

The aim of present work is to introduce and study the concepts of S λ limit points and cluster points and S λ -limit inferior and limit superior of fuzzy number sequences.

Fuzzy equivalents of all the classical capital budgeting (investment choice) methods are generalised or proposed. These equivalents can be used to evaluate and compare projects in which the cash ows, duration time and required rate of return (cost of capital) are given imprecisely, in the form of a fuzzy number. c © 2000 Elsevier Science B.V. All rights reserved.

Index Terms—Fuzzy number, lambda-statistical limit inferior, lambda-statistical limit superior.

This note is a rejoinder on our paper in this issue. It attempts to provide some clari cations and thoughts in connection with the discussions/comments made about it by Didier Dubois and Sébastien Destercke. We hope our comments are at the level of the discussants'.

Abstract. Many ranking methods have been proposed so far. However, there is not a method that can always give a satisfactory solution to every situation; some method are counterintuitive, others methods give different rankings solutions for the same conditions, this is not the case of Liou and Wang method, however, this method can give the same ranking for different fuzzy number, so that, we pr...

The new concept of a Z – number has been recently introduced in decision making analysis. This concept is capable of effectively dealing with uncertainty in information about a decision. As this concept is relatively new in fuzzy sets, its underlying theoretical aspects have not been established yet. In this paper, a multi-layer methodology for ranking Z – numbers is proposed for the first time...

In standard arithmetic, if we, e.g., accidentally add a wrong number y to the preliminary result x, we can undo this operation by subtracting y from the result x+ y. In this paper, we prove the following two results: • First, a similar possibility to invert (undo) addition holds for fuzzy numbers (although in case of fuzzy numbers, we cannot simply undo addition by subtracting y from the sum). ...