关键词: 模糊决策, 三角模糊数, H-OWA算子, FH-OWA算子

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