A New Sign Distance-Based Ranking Method for Fuzzy Numbers

Tay, K.M and Kok, Chin Chai and Chee, Peng Lim (2015) A New Sign Distance-Based Ranking Method for Fuzzy Numbers. Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems-Volume 2, 2. pp. 55-64. ISSN 2363-6084

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Official URL: http://link.springer.com/chapter/10.1007%2F978-3-3...

Abstract

In this paper, a new sign distance-based ranking method for fuzzy numbers is proposed. It is a synthesis of geometric centroid and sign distance. The use of centroid and sign distance in fuzzy ranking is not new. Most existing methods (e.g., distance-based method [9]) adopt the Euclidean distance from the origin to the centroid of a fuzzy number. In this paper, a fuzzy number is treated as a polygon, in which a new geometric centroid for the fuzzy number is proposed. Since a fuzzy number can be represented in different shapes with different spreads, a new dispersion coefficient pertaining to a fuzzy number is formulated. The dispersion coefficient is used to fine-tune the geometric centroid, and subsequently sign distance from the origin to the tuned geometric centroid is considered. As discussed in [5-9], an ideal fuzzy ranking method needs to satisfy seven reasonable fuzzy ordering properties. As a result, the capability of the proposed method in fulfilling these properties is analyzed and discussed. Positive experimental results are obtained.

Item Type: E-Article
Uncontrolled Keywords: Geometric centroid, sign distance, fuzzy numbers, reasonable ordering properties, dispersion coefficient, unimas, university, universiti, Borneo, Malaysia, Sarawak, Kuching, Samarahan, ipta, education, research, Universiti Malaysia Sarawak
Subjects: Q Science > Q Science (General)
Divisions: Academic Faculties, Institutes and Centres > Faculty of Engineering
Depositing User: Meng
Date Deposited: 01 Jul 2015 03:56
Last Modified: 02 Jul 2015 05:44
URI: http://ir.unimas.my/id/eprint/8145

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