Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (4): 49-53.

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Another method for construction of generalized compromise operator

QIN Feng1, WAN Hongyan2   

  1. 1.School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China
    2.School of Mathematics and Information Sciences, Nanchang Hangkong University, Nanchang 330063, China
  • Online:2015-02-15 Published:2015-02-04

构造广义折衷算子的另一方法

覃  锋1,万红艳2   

  1. 1.江西师范大学 数学与信息科学学院,南昌 330022
    2.南昌航空大学 数学与信息科学学院,南昌 330063

Abstract: This paper gives another method for the construction of the generalized compromise operator, i.e., the method for the construction of the generalized compromise operator based on ordinal sum of the totally ordered semi-group. And some examples are listed to show that these results are not right when one of the preconditions in these theorems does not hold. A wrong result of others is corrected.

Key words: generalized compromise operator, pseudo-inverse, totally ordered semi-group, ordinal sum

摘要: 给出了构造广义折衷算子的另一方法,即基于全序半群序和的广义折衷算子的方法,并且用例子表明如果构造方法的前提条件之一不成立,则结论也不再成立。纠正了一条别人的错误结论。

关键词: 广义折衷算子, 伪逆, 全序半群, 序和