A NEW METHOD FOR RANKING TRIANGULAR FUZZY NUMBERS
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol.20, no.5, pp.729-740, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 20 Issue: 5
- Publication Date: 2012
- Doi Number: 10.1142/s021848851250033x
- Journal Name: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.729-740
- Keywords: Triangular fuzzy numbers, ranking fuzzy numbers, incircle
- Anadolu University Affiliated: Yes
Abstract
The ranking and comparing of fuzzy numbers have important practical uses, such as in risk analysis problems, decision-making, optimization, forecasting, socioeconomic systems, control and certain other fuzzy application systems. Several methods for ranking fuzzy numbers have been widely-discussed though most of them have shortcomings. In this paper, we present a new method for ranking triangular fuzzy numbers based on their incenter and inradius. The proposed method is much simpler and more efficient than other methods in the literature. Some comparative examples are also given to illustrate the advantages of the proposed method.