Ranking Fuzzy Numbers by their Left and Right Wingspans
Ranking fuzzy numbers is an essential component of decision making with fuzzy data. Some common methods of ranking fuzzy numbers in literature, such as being based on the centroid, violate the intuition and, therefore, are not reasonable. A ranking method based the wingspans of fuzzy numbers is now proposed.
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By using the knowledge on fuzzy numbers and decision making, discuss why some existing ranking methods are not reasonable. Introduce a new method of ranking fuzzy numbers based on the left and right wingspans. Show the unambiguity of the definition for the ranking index involving the core and wingspans of a fuzzy number. Complete a paper that can be submitted to some international academic conference.