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基于Hero平均算子,提出一些适合不确定语言环境的聚合算子,即不确定语言Hero平均(ULHA)算子和不确定语言广义Hero平均(ULGHA)算子,并且讨论了它们的基本性质,如单调性、有界性、幂等性、置换性等,以及它们的一些特殊情形。在ULHA算子的基础上,提出了不确定语言几何Hero平均(ULGHA)算子和不确定语言加权几何Hero平均(ULWGHA)算子。最后给出了基于ULWGHA算子的多属性群决策方法,并且将之应用到教师选拔问题中。
Based on the average operator of Hero, some aggregation operators suitable for uncertain linguistic environment are proposed, that is, the Unsymmetrical Heroian Average (ULHA) operator and the Uncertain Generalized Hero Heroian (ULGHA) operator, and their basic properties are discussed. Such as monotonicity, boundedness, idempotence, substitution, etc., as well as some special cases of them. Based on the ULHA operator, the Uncertain Language Geometry Hero Average (ULGHA) operator and the Uncertain Language Weighed Geometry Hero Average (ULWGHA) operator are proposed. Finally, a multi-attribute group decision-making method based on ULWGHA operator is given and applied to the problem of teacher selection.