A Method for Ranking Fuzzy Numbers and Its Application to Game with Fuzzy Profit

DOI

10.2991/iske.2007.247How to use a DOI?

Keywords

Interval numbers; Fuzzy numbers; rank; game with Fuzzy Profit

Abstract

In this paper, a new method for ranking fuzzy numbers is proposed. Based on decomposition theorem of fuzzy set, firstly, the method considers interval numbers, the relation between lines and interval numbers is discussed in Cartesian coordinates, the distance of dot to lines is used as evaluation of interval number. Then, integral of all distances is used as evaluation of fuzzy number. Finally, ranking fuzzy numbers is implemented by the evaluations of fuzzy numbers. In order to illustrate the ranking method, numeric example is shown, and for the comparative study, our method is compared with four existing ranking methods. As an example of potential applications, the proposed method is applied to game with Fuzzy Profit.

Copyright

© 2007, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yingchao Shao
AU  - Zheng Pei
PY  - 2007/10
DA  - 2007/10
TI  - A Method for Ranking Fuzzy Numbers and Its Application to Game with Fuzzy Profit
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1454
EP  - 1459
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.247
DO  - 10.2991/iske.2007.247
ID  - Shao2007/10
ER  -