𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Ranking fuzzy numbers by preference ratio

✍ Scribed by Mohammad Modarres; Soheil Sadi-Nezhad

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
111 KB
Volume
118
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

We propose a ranking method for fuzzy numbers. In this method a preference function is deΓΏned by which fuzzy numbers are measured point by point and at each point the most preferred number is identiΓΏed. Then, these numbers are ranked on the basis of their preference ratio. Therefore, fuzzy numbers are compared relatively and not necessarily one is preferred absolutely over the others. This method is especially designed to evaluate alternatives in multi criteria or multi-attribute decision making. The method is intuitive and can be used to discriminate between numbers easily. The method is specially tailored for triangular fuzzy numbers (TFN) and an algorithm is presented to determine the preference ratio of a pair of TFNs. We show that at most two feasible turning points exist. This fact is very helpful to make the algorithm much easier.

πŸ“œ SIMILAR VOLUMES

A fuzzy ranking of fuzzy numbers
A fuzzy ranking of fuzzy numbers
✍ J.J. Buckley πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 142 KB
Note on ranking fuzzy triangular numbers
Note on ranking fuzzy triangular numbers
✍ Gisella Facchinetti; Roberto Ghiselli Ricci; Silvia Muzzioli πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 112 KB

This paper deals with the problem of ranking a set of alternatives, represented by triangular fuzzy numbers, in decision-making situations. Three new methods are proposed, and a notion of preference between alternatives is suggested. A comparison with other methods is provided in the concluding tabl

On ranking fuzzy numbers using valuation
On ranking fuzzy numbers using valuations
✍ Ronald R. Yager; Dimitar Filev πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

The importance as well as the difficulty of the problem of ranking fuzzy numbers is pointed out. Here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its valuation, and using this valuation to compare and order fuzzy numbe