Aiming at the multi-attribute decision making problem with unknown attribute weight under interval intuitionistic fuzzy information environment, a new decision making method is proposed. On the basis of reviewing relevant basic theoretical knowledge, the scoring function and precision function of interval intuitionistic fuzzy number are defined, and the method of determining attribute weight based on maximizing deviation is proposed. Then, a multi-attribute decision making method with interval intuitionistic fuzzy information based on the interval intuitionistic fuzzy weighted averaging operator is proposed. Finally, the method is applied to the evaluation of the effectiveness of emergency plans and its effectiveness is illustrated by a numerical example.
GUO Zixue
,
LIN Peng
. A method of interval-valued intuitionistic fuzzy multiple attribute decision-making under unknown attribute weight[J]. Journal of Hebei University(Natural Science Edition), 2019
, 39(1)
: 1
-5
.
DOI: 10.3969/j.issn.1000-1565.2019.01.001
[1] ZADEH L A. Fuzzy sets [J]. Information and Control, 1965,8:338-353.
[2] 陈水利,李敬功,王向公.模糊集理论及应用[M].北京:科学出版社,2005.
[3] ATANASSOV K T. Intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems,1986,20:87-96.
[4] ATANASSOV K T, GARGOV G. Interval-valued intuitionistic fuzzy sets [J]. Fuzzy Sets and Systems,1989,31: 343-349.
[5] 胡辉,徐泽水.基于TOPSIS的区间直觉模糊多属性决策法[J].模糊系统与数学,2007,21(5):108-122. DOI: 1001-7402(2007)05-0108-05.
[6] 魏艳艳,陈子春,徐福成. 基于可能度的区间直觉模糊数排序方法及其在决策中的应用[J].西华大学学报(自然科学版),2014,33(2):11-16. DOI: 10. 3969/j. issn.1673-159X. 2014. 02. 003.
[7] 孙贵玲,张建华.IVIFS环境下基于模糊熵和得分函数的多准则决策[J].模糊系统与数学,2013,27(1):113-117. DOI: 1001-7402(2013)01-0113-05.
[8] 郭子雪,史淑英,张玉芬,等. 直觉模糊环境下的物流配送中心选址方法研究[J].计算机工程与应用,2012,48(11):239-244. DOI:1002-8331(2012)11-0239-04.
[9] 田大增,杨忠堂,王超,等. 直觉模糊集熵的一种计算公式[J].河北大学学报(自然科学版),2013,33(50):536-542. DOI: 10.3969/j.issn.1000-1565.2013.05.017.
[10] 李登峰.直觉模糊集决策与对策分析[M].北京:国防工业出版社,2012.
[11] 徐泽水.直觉模糊信息集成理论及应用[M].北京:科学出版社,2008.
[12] 郭子雪,张强.基于直觉模糊集的突发事件应急预案评估[J].数学的实践与认识,2008,38(22):64-69.