一类混合判断矩阵排序的优化模型及其应用

研究混合判断矩阵的排序问题,提出了一种新的混合判断矩阵排序法.定义一类新型混合判断矩阵,利用C-OWA算子、C-OWG算子及三角模糊数期望值公式分别将区间数互补、区间数互反和三角互补互(或互反)判断元素一致化为数值型互补与互反判断元素.基于一致性互补与互反判断矩阵的定义,建立一个优化模型,通过求解该模型获得方案的排序向量.提出一种新的混合判断矩阵序法,该方法具有操作简便和易于上机实现的特点.通过实例说明方法的可行性和实用性.

Ranking Optimization Model and Its Application for a Type of Hybrid Judgment Matrix

The ranking problem of the hybrid judgment matrix is studied in this paper,a new method for priority of the hybrid judgment matrix is proposed.Firstly,a new type of hybrid judgment matrix is defined.The complementary and reciprocal judgment elements in the form of interval numbers, the complementary or reciprocal judgment elements in the form of triangular fuzzy numbers are made uniform into the complementary and reciprocal judgment elements of numerical values by using C-OWA operator,C-OWG operator and the expected value formula of triangular fuzzy numbers,respectively.Secondly,an optimization model based on the definitions of the consistency complementary and reciprocal judgment matrix is established.The ranking vector on alternatives is obtained by solving the model.The method is characterized by simple operation and easy to implement on a computer.Finally,an example is illustrated to show the feasibility and practicability of the developed method.