Fuzzy distance of triangular fuzzy numbers

Authors:
Soheil Sadi-Nezhad;Ameneh Noroozi-yadak;Ahmad Makui
Affiliations:
Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2013

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Abstract

In this paper, a new triangular fuzzy distance is proposed for two triangular fuzzy numbers and this distance is developed and applied for two points in a K-dimensional space. In this fuzzy distance we use the left and right point. Its calculations are easier compared to the previous presented distances and its result is always a non negative fuzzy number. This distance can be widely used in Multiple Attribute Decision Making MADM techniques and data mining. Finally, some examples are presented to illustrate the benefits of this method.