Abstract: In reality, most of the decision making is fuzzy decision making, and the result depends largely on the selection of aggregation operators. In order to be more scientific and reasonable in the decision making process, this paper studies the Heronian ordered weighted averaging operator (H-OWA). In view of the advantages and limitations of H-OWA operator, this paper proposes a new fuzzy Heronian ordered weighted averaging operator (FH-OWA) based on triangle fuzzy numbers and proves its properties, such as commutativity, idempotency, boundedness and alternating. Finally, by applying the FH-OWA operator to a fuzzy multiple attribute decision making problem and compared with the original literature, the results show that the FH-OWA operator places strong emphasis on the “consistency” of all decision-makers’ opinions rather than some individual experts’ authority.

Key words: fuzzy decision making, triangular fuzzy number, H-OWA operator, FH-OWA operator

摘要： 现实中，绝大多数的决策是模糊决策，而决策结果很大程度上取决于聚合算子的选取。为了使信息聚合更加科学合理，研究了H-OWA算子（Heronian ordered weighted averaging operator）。鉴于H-OWA算子的优点和局限性，提出了基于三角模糊数的FH-OWA算子（fuzzy Heronian ordered weighted averaging operator），并研究了其幂等性、单调性、有界性及交替性。最后，将FH-OWA算子应用于模糊多属性决策中，并与原文献进行了比较和分析，结果表明FH-OWA算子在信息聚合时侧重所有决策者意见的“一致性”，而不是个别专家的权威性。

关键词: 模糊决策, 三角模糊数, H-OWA算子, FH-OWA算子