區(qū)間猶豫模糊Bonferroni mean算子在多屬性決策中的應用
發(fā)布時間：2019-04-09 09:13
【摘要】：針對在信息集成時,需要考慮輸入變量之間的相互影響以及專家評價值為區(qū)間猶豫模糊信息的多屬性決策問題,提出一種基于區(qū)間猶豫模糊Bonferroni mean算子的多屬性決策方法。考慮到由于Bonferroni mean(BM)算子能夠良好的反映輸入變量之間相互影響,首次提出了評價值為區(qū)間猶豫模糊集信息環(huán)境下的兩種新的集成算子,即區(qū)間猶豫模糊Bonferroni mean(IVHFBM)算子和區(qū)間猶豫模糊幾何Bonferroni mean(IVHFGBM)算子。并討論了其相關的一些特性。同時基于輸入變量會具有不同重要程度的情況,定義了區(qū)間猶豫模糊加權Bonferroni mean(IVHFWBM)算子和區(qū)間猶豫模糊加權幾何Bonferroni mean(IVHFWGBM)算子。針對評價信息以區(qū)間猶豫模糊集表示的決策問題,提出了基于IVHFWBM算子和IVHFWGBM算子的多屬性決策方法。最后通過實例證明了該方法的可行性和有效性。
[Abstract]:A multi-attribute decision making method based on interval hesitation fuzzy Bonferroni mean operator is proposed to solve the multi-attribute decision making problem in which the interaction between input variables and the evaluation value of experts as interval hesitation fuzzy information are taken into account in information integration. Considering that the Bonferroni mean (BM) operator can well reflect the interaction between input variables, two new integration operators are proposed for the first time, in which the evaluation value is interval hesitant fuzzy set information environment. That is interval hesitation fuzzy Bonferroni mean (IVHFBM) operator and interval hesitation fuzzy geometric Bonferroni mean (IVHFGBM) operator. Some related properties are also discussed. At the same time, the interval hesitation fuzzy weighted Bonferroni mean (IVHFWBM) operator and interval hesitant fuzzy weighted geometric Bonferroni mean (IVHFWGBM) operator are defined based on the different importance of input variables. In this paper, a multi-attribute decision-making method based on IVHFWBM operator and IVHFWGBM operator is proposed for the decision-making problem in which the evaluation information is represented by interval hesitation fuzzy set. Finally, the feasibility and effectiveness of the method are proved by an example.
【作者單位】： 重慶科技學院工商管理學院;北京理工大學管理與經(jīng)濟學院;
【基金】：重慶社會規(guī)劃博士項目(2016BS087)
【分類號】：C934
[Abstract]:A multi-attribute decision making method based on interval hesitation fuzzy Bonferroni mean operator is proposed to solve the multi-attribute decision making problem in which the interaction between input variables and the evaluation value of experts as interval hesitation fuzzy information are taken into account in information integration. Considering that the Bonferroni mean (BM) operator can well reflect the interaction between input variables, two new integration operators are proposed for the first time, in which the evaluation value is interval hesitant fuzzy set information environment. That is interval hesitation fuzzy Bonferroni mean (IVHFBM) operator and interval hesitation fuzzy geometric Bonferroni mean (IVHFGBM) operator. Some related properties are also discussed. At the same time, the interval hesitation fuzzy weighted Bonferroni mean (IVHFWBM) operator and interval hesitant fuzzy weighted geometric Bonferroni mean (IVHFWGBM) operator are defined based on the different importance of input variables. In this paper, a multi-attribute decision-making method based on IVHFWBM operator and IVHFWGBM operator is proposed for the decision-making problem in which the evaluation information is represented by interval hesitation fuzzy set. Finally, the feasibility and effectiveness of the method are proved by an example.
【作者單位】： 重慶科技學院工商管理學院;北京理工大學管理與經(jīng)濟學院;
【基金】：重慶社會規(guī)劃博士項目(2016BS087)
【分類號】：C934
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