广义直觉模糊几何Bonferroni平均及其多属性决策

发布时间：2018-06-26 04:06

本文选题：阿基米德T-范数 + 阿基米德S-范数　；参考：《计算机应用》2015年12期

【摘要】：针对直觉模糊环境中的信息集成问题,基于阿基米德T-范数和S-范数,提出新的广义直觉模糊几何Bonferroni平均算子。该算子不仅能够考虑到每种属性的重要性,而且可以有效地捕获属性间的内在联系。首先,基于阿基米德T-范数和S-范数的直觉模糊运算法则,提出一种新的广义直觉模糊几何Bonferroni平均算子,并研究该算子的几种优良性质,包括幂等性、单调性、有界性和置换不变性;其次,探讨了广义直觉模糊几何Bonferroni平均算子的几类特殊形式;最后,基于提出的算子构建一种新的直觉模糊多属性决策方法,并结合区域经济发展研究实例。实验结果表明,提出的决策方法是可行的和有效的,并且使得决策者能够依据其态度进行决策。
[Abstract]:A new generalized intuitionistic fuzzy geometric Bonferroni averaging operator is proposed for information integration in intuitionistic fuzzy environments based on Archimedes T-norm and S-norm. The operator can not only take into account the importance of each attribute, but also can effectively capture the intrinsic relationship between the attributes. Firstly, a new generalized intuitionistic fuzzy geometric Bonferroni averaging operator is proposed based on Archimedes T-norm and S- norm intuitionistic fuzzy algorithms, and some excellent properties of the operator are studied, including idempotent and monotonicity. Secondly, some special forms of generalized intuitionistic fuzzy geometric Bonferroni mean operator are discussed. Finally, a new intuitionistic fuzzy multi-attribute decision making method is constructed based on the proposed operator. And combined with the case study of regional economic development. The experimental results show that the proposed method is feasible and effective and enables the decision makers to make decisions according to their attitude.
【作者单位】：常州大学怀德学院;常州大学现代教育技术中心;
【基金】：江苏省科技支撑计划(工业)重点项目(BE2013005-3) 靖江市科技局产学研项目(CDHJK1501001)
【分类号】：O225;O159

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