A new approach for ranking fuzzy numbers based on a distance measure is introduced. A new class of distance measures for interval numbers that takes into account all the points in both intervals is developed -rst, and then it is used to formulate the distance measure for fuzzy numbers. The approach is illustrated by numerical examples, showing that it overcomes several shortcomings such as the ...

-This study presents an approximate approach for ranking fuzzy numbers based on the left and right dominance. The proposed approach only requires a few left and right spreads at some a-levels of fuzzy numbers to determine the respective dominance of one fuzzy number over the other. The total dominance is then determined by combining the left and right dominance based on a decision maker's optim...

triangular intuitionistic fuzzy numbers (tifns) is a special case of intuitionistic fuzzy (if) set and the ranking of tifns is an important problem. the aim of this paper is to develop a new methodology for ranking tifns by using multiattribute decision making methods (madm). in this methodology, the value and ambiguity indices of tifns may be considered as the attributes and the tifns in compa...

In this study the author discusses the problem of defuzzification by minimizing the weighted distance between two fuzzy quantities. Also, this study obtains the nearest point with respect to a fuzzy number and shows that this point is unique relative to the weighted distance. By utilizing this point, a method is presented for effectively ranking fuzzy numbers and their images to overcome the de...

in today’s competitive business situation, performance evaluation of firms is an extremely important concern of all the people who are typically stakeholders of the business game. in case of holding companies, this is a more important issue since the parent firm must permanently control the situation of its subsidiaries in their sectors to make appropriate investment decisions. this paper devel...