<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Based on the area between the curve of the membership function of a fuzzy number and the horizontal real axis, a characteristic as a new numerical index, called the expansion center, for fuzzy numbers is proposed. An intuitive and reasonable ranking method for fuzzy numbers based on this characteristic is also established. The new ranking method is applicable for decision making and data analysis in fuzz environments. An important criterion of the goodness for ranking fuzzy numbers, the geometric intuitivity, is also introduced. It guarantees coinciding with the natural ordering of the real numbers.</p></abstract>

Based on the area between the curve of the membership function of a fuzzy number and the horizontal real axis, a characteristic as a new numerical index, called the expansion center, for fuzzy numbers is proposed. An intuitive and reasonable ranking method for fuzzy numbers based on this characteristic is also established. The new ranking method is applicable for decision making and data analysis in fuzz environments. An important criterion of the goodness for ranking fuzzy numbers, the geometric intuitivity, is also introduced. It guarantees coinciding with the natural ordering of the real numbers.

New Ranking Method For Fuzzy Numbers By Their Expansion Center

Department of Mathematics, University of Nebraska at Omaha, Omaha, USA

Department of Economics,University of Nebraska at Omaha, Omaha, USA

Journal of Artificial Intelligence and Soft Computing Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"New Ranking Method For Fuzzy Numbers By Their Expansion Center"}

Based on the area between the curve of the membership function of a fuzzy number and the horizontal real axis, a characteristic as a new numerical index,...

New Ranking Method For Fuzzy Numbers By Their Expansion Center

Published Online: Mar 01, 2015

Page range: 181 - 187

DOI: https://doi.org/10.1515/jaiscr-2015-0007

© Academy of Management (SWSPiZ), Lodz

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.