Conceptual procedure for ranking fuzzy numbers based on adaptive two-dimensions dominance

Authors:
Jing-Rong Chang;Ching-Hsue Cheng;Chen-Yi Kuo
Affiliations:
Department of Information Management, National Yunlin University of Science and Technology and Graduate School of Management, National Yunlin University of Science and Technology 123 University Ro ...;Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, 640, Touliu, Yunlin, Taiwan;Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, 640, Touliu, Yunlin, Taiwan
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2006

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Abstract

Many methods for ranking of fuzzy numbers have been proposed. However, these methods just can apply to rank some types of fuzzy numbers (i.e. normal, non-normal, positive, and negative fuzzy numbers), and many ranking cases can just rank by their graphs intuitively. So, it is important to use proper methods in the right condition. In this paper, a conceptual procedure is proposed to describe how to use intuitive ranking and some technical ranking methods properly. We also introduce a new ranking fuzzy numbers approach that can adjust experts’ confidence and optimistic index of decision maker using two parameters (α and β) to handle the problems and find the best solutions. After illustrate many numerical examples following our conceptual procedure the ranking results are validity.