A family of fuzzy distance measures of fuzzy numbers

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• 作者：Concepción Aguilar-Peña ; Antonio-Francisco Roldán-López de Hierro…
• 关键词：Similarity measure ; Fuzzy number ; Fuzzy distance ; Ranking ; Distance measure
• 刊名：Soft Computing - A Fusion of Foundations, Methodologies and Applications
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：20
• 期：1
• 页码：237-250
• 全文大小：589 KB
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• 作者单位：Concepción Aguilar-Peña (1)
  Antonio-Francisco Roldán-López de Hierro (1)
  Concepción Roldán-López de Hierro (2)
  Juan Martínez-Moreno (1)
  
  1. University of Jaén, Jaén, Spain
  2. University of Granada, Granada, Spain
  
• 刊物类别：Engineering
• 刊物主题：Numerical and Computational Methods in Engineering
  Theory of Computation
  Computing Methodologies
  Mathematical Logic and Foundations
  Control Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1433-7479

文摘

Recently, Guha and Chakraborty studied a new approach to fuzzy distance measure and similarity measure between two generalized fuzzy numbers. In this paper, we propose a family of fuzzy distance measures between arbitrary fuzzy numbers depending on a defuzzification, an interval similarity measure, and some real pseudosemimetrics, involving some of the most important possibilistic and geometric characteristics of any fuzzy number. Then, we study its metric properties and its relationship with a partial order on the set of all trapezoidal fuzzy numbers. Illustrative examples about the action of this class of metrics are shown, comparing them with the results obtained by other researchers. Finally, as application, we introduce a fuzzy ranking and we compare it with other techniques. Keywords Similarity measure Fuzzy number Fuzzy distance Ranking Distance measure