一种基于新的区间二型梯形模糊相似测度的多属性群决策方法

doi:10.12005/orms.2019.0077

运筹与管理 ›› 2019, Vol. 28 ›› Issue (4): 33-41.DOI: 10.12005/orms.2019.0077

一种基于新的区间二型梯形模糊相似测度的多属性群决策方法

王凤,平轶男,周礼刚,陈华友

安徽大学数学科学学院,安徽合肥 230601

收稿日期:2016-11-30 出版日期:2019-04-25
作者简介:王凤(1989-),女,安徽淮北人,硕士研究生,研究方向为模糊决策分析;平轶男(1986-),女,安徽淮南人,硕士研究生,研究方向为模糊决策分析;周礼刚(1980-),男,安徽潜山人,博士,教授,博士生导师,研究方向为模糊预测与决策;陈华友(1969-),男,安徽和县人,博士,博士生导师,研究方向为模糊预测与决策。
基金资助:
国家自然科学基金资助项目(71771001,71701001,71371011,71301001,71501002);安徽省优秀青年人才支持计划,安徽大学博士科研启动基金,安徽省自然科学基金(1508085QG149);安徽省高校省级自然科学研究重点项目(KJ2015A379,KJ2017A026);安徽省哲学社会科学项目(AHSKQ2016D13)

An Approach to Multiple Attribute Group Decision Making Based on the New Interval Type-2 Trapezoidal Fuzzy Similarity Measure

WANG Feng, PING Yi-nan, ZHOU Li-gang, CHEN Hua-you

School of Mathematical Sciences, Anhui University, Anhui, Hefei, 230601

Received:2016-11-30 Online:2019-04-25

摘要/Abstract

摘要： 本文首先基于区间二型梯形模糊数的周长、面积、负指数距离提出了一种新的区间二型梯形模糊相似测度,讨论了其性质。其次,基于该相似测度公式分别构建了区间二型梯形模糊专家权重和属性权重确定模型,然后通过集结区间二型梯形模糊决策信息与权重信息,给出了一种基于该相似测度的群决策方法。最后,通过投资方案选择实例说明了该方法的合理性和有效性。

关键词: 群决策, 区间二型梯形模糊数, 相似测度, 权重

Abstract: A new interval type-2 trapezoidal fuzzy similarity measure is proposed on the basis of the perimeters, areas and negative exponential distances of the interval type-2 trapezoidal fuzzy numbers, and then some desirable properties of the new similarity are investigated. Moreover, two models to determine interval type-2 trapezoidal fuzzy expert weights and attribute weights are constructed by using the new similarity measure. Furthermore, a new fuzzy multiple attribute group decision making approach is presented based on the new interval two trapezoidal fuzzy similarity measure . In the end, an example is given to show the rationality and effectiveness of the proposed method.

Key words: group decision making, interval type-2 trapezoidal fuzzy number, similarity, weight

中图分类号:

王凤,平轶男,周礼刚,陈华友. 一种基于新的区间二型梯形模糊相似测度的多属性群决策方法[J]. 运筹与管理, 2019, 28(4): 33-41.

WANG Feng, PING Yi-nan, ZHOU Li-gang, CHEN Hua-you. An Approach to Multiple Attribute Group Decision Making Based on the New Interval Type-2 Trapezoidal Fuzzy Similarity Measure[J]. Operations Research and Management Science, 2019, 28(4): 33-41.

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一种基于新的区间二型梯形模糊相似测度的多属性群决策方法

An Approach to Multiple Attribute Group Decision Making Based on the New Interval Type-2 Trapezoidal Fuzzy Similarity Measure

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