不确定语言广义加权Heronian平均算子及决策应用

doi:10.3969/j.issn.1000-1565.2023.02.001

河北大学学报(自然科学版) ›› 2023, Vol. 43 ›› Issue (2): 113-120.DOI: 10.3969/j.issn.1000-1565.2023.02.001

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不确定语言广义加权Heronian平均算子及决策应用

胡喜梅¹,杨淑霞¹,田大增²

收稿日期:2022-06-20 出版日期:2023-03-25 发布日期:2023-04-06
作者简介:胡喜梅(1983—),女,河北保定人,华北电力大学在读博士研究生,主要从事多属性决策理论与应用、能源管理理论与方法等方向研究.E-mail: huxm@ncepu.edu.cn
基金资助:
国家自然科学基金资助项目(72074074)

Uncertain linguistic generalized weighted Heronian mean operator and its application in decision making

HU Ximei¹, YANG Shuxia¹, TIAN Dazeng²

1. School of Economics and Management, North China Electric Power University, Beijing 102206, China; 2. College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received:2022-06-20 Online:2023-03-25 Published:2023-04-06

摘要/Abstract

摘要： 在实际多属性决策问题中,属性间有时会存在一定的关联关系,且属性值有时以不确定语言的形式给出.为解决不确定语言环境下属性间存在关联关系的多属性决策问题,首先给出不确定语言广义加权Heronian平均(uncertain linguistic generalized weighted Heronian mean, ULGWHM)算子,并研究该算子的性质,包括幂等性、有界性、单调性、置换性及极限性质,然后给出了基于该算子的多属性决策方法,最后通过实例说明了基于ULGWHM算子的多属性决策方法的可行性.

关键词: 多属性决策, 属性关联, Heronian平均, 不确定语言广义加权Heronian平均

Abstract: In practical multiple-attribute decision making problems, sometimes there are correlations between attributes, and attribute values are given in the form of uncertain language. In order to solve the multiple-attribute decision making problems with correlations between attributes in uncertain linguistic environment, the uncertain linguistic generalized weighted Heronian mean(ULGWHM)operator is given, and its properties are studied, including idempotency, boundedness, monotonicity, permutation and limit properties. Then a multiple-attribute decision making method based on this operator is presented. Finally, the feasibility of multiple-attribute decision making method based on ULGWHM operator is illustrated by an example.

Key words: multiple-attribute decision making, attribute association, Heronian mean, uncertain linguistic generalized weighted Heronian mean

中图分类号:

C934

胡喜梅,杨淑霞,田大增. 不确定语言广义加权Heronian平均算子及决策应用[J]. 河北大学学报(自然科学版), 2023, 43(2): 113-120.

HU Ximei, YANG Shuxia, TIAN Dazeng. Uncertain linguistic generalized weighted Heronian mean operator and its application in decision making[J]. Journal of Hebei University(Natural Science Edition), 2023, 43(2): 113-120.

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不确定语言广义加权Heronian平均算子及决策应用

Uncertain linguistic generalized weighted Heronian mean operator and its application in decision making

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