猶豫三角模糊語(yǔ)言算子在多屬性決策中的應(yīng)用

摘要： 文章在猶豫模糊集和三角模糊語(yǔ)言集的基礎(chǔ)上,定義了猶豫三角模糊語(yǔ)言集的概念。給出猶豫三角模糊語(yǔ)言的運(yùn)算法則,研究了兩種集結(jié)算子。由于現(xiàn)實(shí)生活中存在著猶豫三角模糊語(yǔ)言集的有序位置具有不同權(quán)重的情況,提出了猶豫三角模糊語(yǔ)言有序加權(quán)平均(HTFLOWA)算子和猶豫三角模糊語(yǔ)言有序加權(quán)幾何(HTFLOWG)算子。并討論了其相應(yīng)的運(yùn)算定理。然后構(gòu)建了猶豫三角模糊語(yǔ)言的得分函數(shù),并在此基礎(chǔ)上研究了猶豫三角模糊語(yǔ)言的排序方法。最后,提出了一種基于HTFLWA算子和HTFLWG算子的猶豫三角模糊語(yǔ)言多屬性決策方法,并將其應(yīng)用到綠色供應(yīng)商的選擇中,以此驗(yàn)證了其有效性和合理性。
On the basis of hesitation fuzzy set and trigonometric fuzzy language set, this paper defines the concept of hesitant triangular fuzzy language set, gives the algorithm of hesitation triangular fuzzy language, and studies two aggregation operators. In view of the fact that the ordered position of the triangular fuzzy language set has different weights in real life, this paper comes up with the ordered weighted average(HTFLOWA) operator and the ordered weighted geometric(HTFLOWG) operator of hesitant triangular fuzzy language, and also discusses the corresponding operation theorems. Then the score function of hesitant triangular fuzzy language is constructed, on the basis of which the ranking method of hesitant triangular fuzzy language is studied. Finally, a hesitant triangular fuzzy language multi-attribute decision-making method based on HTFLWA operator and HTFLWG operator are proposed, and also applied to the selection of green suppliers, thus its effectiveness and rationality are validated.