Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process
Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process
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DOI：
10.1007/s12652-018-1076-9
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发表时间：
2019-09-01
影响因子：
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通讯作者：
Wang, Jian-qiang
中科院分区：
文献类型：
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作者：
Jana, Chiranjibe;Pal, Madhumangal;Wang, Jian-qiang
Dombi引入的t-范数和t-余范运算称为Dombi运算，具有很好的通用性。到目前为止，Dombi运算还没有被应用于双极模糊集。在Dombi运算的启发下，我们提出了双极模糊Dombi加权平均算子、双极模糊Dombi序加权平均算子、双极模糊Dombi混合加权平均算子、双极模糊Dombi加权几何算子、双极模糊Dombi序加权几何算子和双极模糊Dombi混合加权几何算子，这些算子在运算行为上具有很好的灵活性。研究了这些算子的许多性质。在此基础上，建立了双极模糊Dombi集结算子在双极模糊环境下的多属性决策模型。最后，给出了一个投资方案选择的实例，以说明所提工作的实用性和应用。
The operations of t-norm and t-conorm introduced by Dombi was known as Dombi operations can have a lead of good flexibility with the general parameter. The Dombi operations have so far not yet been applied for bipolar fuzzy sets. Motivated from Dombi operations, we have proposed bipolar fuzzy Dombi weighted averaging operator, bipolar fuzzy Dombi order weighted averaging operator, bipolar fuzzy Dombi hybrid weighted averaging operator, bipolar fuzzy Dombi weighted geometric operator , bipolar fuzzy Dombi order weighted geometric operator and bipolar fuzzy Dombi hybrid weighted geometric operator as these operators have good advantage of flexibility in operational behavior. Many properties of these operators are investigated. Then, we developed a model for multiple attribute decision-making problem for bipolar fuzzy Dombi aggregation operators under the bipolar fuzzy environment. Finally, a practical example for selection of investment alternatives is given to demonstrate for the utility and application of the proposed work.