Abstract
We investigate the multiple attribute decision-making (MADM) problems with hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements are introduced. Then, we develop some hesitant triangular fuzzy aggregation operators based on Bonferroni means and discuss their basic properties. Some existing operators can be viewed as their special cases. Next, we apply the proposed operators to deal with multiple attribute decision-making problems under hesitant triangular fuzzy environment. Finally, an illustrative example is given to show the developed method and demonstrate its practicality and effectiveness.
Highlights
Fuzzy set (FS), proposed by Zadeh in 1965 [1], has achieved a great success in various fields since it appears
In order to meet the different needs, we develop various hesitant triangular fuzzy aggregation operators based on Bonferroni means
As their properties are similar to hesitant triangular fuzzy geometric Bonferroni mean (HTFGBM), we omit them for the sake of simplicity
Summary
Fuzzy set (FS), proposed by Zadeh in 1965 [1], has achieved a great success in various fields since it appears. The first reviewer thinks the most possible of the candidate satisfying the criterion of honest is 0.8, the minimum possible is 0.7, and the maximum possible is 0.9 He can give the evaluation by a triangular fuzzy number (0.7, 0.8, 0.9). We attempt to develop new hesitant triangular fuzzy aggregation operators based on the BM and the Choquet integral so as to capture both the interrelationships between input arguments and the correlations among the attributes. The relations between these new operators and the existing operators are investigated.
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