基于二次规划的直觉模糊数的多属性决策方法

doi:10.11896/j.issn.1002-137X.2014.05.051

计算机科学 ›› 2014, Vol. 41 ›› Issue (5): 243-244.doi: 10.11896/j.issn.1002-137X.2014.05.051

基于二次规划的直觉模糊数的多属性决策方法

张市芳

西安工业大学计算机科学与工程学院西安710021

出版日期:2018-11-14 发布日期:2018-11-14
基金资助:
本文受国家青年科学基金项目(11101320),陕西省自然科学基金项目(2013JM1007)资助

Method of Multi-attribute Decision Making with Intuitionistic Fuzzy Number Based on Quadratic Programming

ZHANG Shi-fang

Online:2018-11-14 Published:2018-11-14

摘要/Abstract

摘要： 针对属性权重完全未知且属性值为直觉模糊数的多属性决策问题,提出了一种新的决策方法。首先引入了直觉模糊数的一些运算法则、得分函数和精确函数等概念。然后构建了一个二次规划模型,通过求解该模型获得属性的权重。接着利用直觉模糊加权平均(IFWA)算子对属性值进行集结,得到方案的综合属性值。最后利用得分函数和精确函数对方案进行排序并择优。给出的算例说明了该方法的实用性和可行性。

关键词: 直觉模糊数,多属性决策,二次规划

Abstract: A new method was proposed with respect to multi-attribute decision making problem in which the attribute weights are unknown completely and the attribute values are intuitionistic fuzzy numbers．First,some operational laws,score function and accuracy function of intuitionistic fuzzy numbers were briefly introduced．Further,a quadratic programming model was established and the attribute weights were obtained by solving this model．Moreover,overall attribute values of every alternative were aggregated by utilizing the intuitionistic fuzzy weighted averaging (IFWA) ope-rator．Finally,the alternatives were ranked and the most desirable one was selected according to score function and accuracy function．In addition,an example was given to show the practicality and feasibility of the developed approach.

Key words: Intuitionistic fuzzy number,Multi-attribute decision making,Quadratic programming

张市芳. 基于二次规划的直觉模糊数的多属性决策方法[J]. 计算机科学, 2014, 41(5): 243-244. https://doi.org/10.11896/j.issn.1002-137X.2014.05.051

ZHANG Shi-fang. Method of Multi-attribute Decision Making with Intuitionistic Fuzzy Number Based on Quadratic Programming[J]. Computer Science, 2014, 41(5): 243-244. https://doi.org/10.11896/j.issn.1002-137X.2014.05.051

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基于二次规划的直觉模糊数的多属性决策方法

Method of Multi-attribute Decision Making with Intuitionistic Fuzzy Number Based on Quadratic Programming

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