A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets

被引:545
作者
Ye, Jun [1 ]
机构
[1] Shaoxing Univ, Dept Elect & Informat Engn, Shaoxing 312000, Zhejiang, Peoples R China
关键词
Neutrosophic set; simplified neutrosophic set; operational laws; aggregation operator; cosine similarity measure; multicriteria decision-making; FUZZY; NUMBERS;
D O I
10.3233/IFS-130916
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper introduces the concept of simplified neutrosophic sets (SNSs), which are a subclass of neutrosophic sets, and defines the operational laws of SNSs. Then, we propose some aggregation operators, including a simplified neutrosophic weighted arithmetic average operator and a simplified neutrosophic weighted geometric average operator. Based on the two aggregation operators and cosine similarity measure for SNSs, a multicriteria decision-making method is established in which the evaluation values of alternatives with respective to criteria are represented by the form of SNSs. The ranking order of alternatives is performed through the cosine similarity measure between an alternative and the ideal alternative and the best one(s) can be determined as well. Finally, a numerical example shows the application of the proposed method.
引用
收藏
页码:2459 / 2466
页数:8
相关论文
共 22 条
[1]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]   A NEW NEUTROSOPHIC APPROACH TO IMAGE THRESHOLDING [J].
Cheng, H. D. ;
Guo, Yanhui .
NEW MATHEMATICS AND NATURAL COMPUTATION, 2008, 4 (03) :291-308
[4]   A NEW NEUTROSOPHIC APPROACH TO IMAGE DENOISING [J].
Guo, Yanhui ;
Cheng, H. D. ;
Zhang, Yingtao .
NEW MATHEMATICS AND NATURAL COMPUTATION, 2009, 5 (03) :653-662
[5]   New neutrosophic approach to image segmentation [J].
Guo, Yanhui ;
Cheng, H. D. .
PATTERN RECOGNITION, 2009, 42 (05) :587-595
[6]   A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making [J].
Herrera, F ;
Herrera-Viedma, E ;
Chiclana, F .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2003, 18 (06) :689-707
[7]   Some Hamacher Aggregation Operators Based on the Interval-Valued Intuitionistic Fuzzy Numbers and Their Application to Group Decision Making [J].
Liu, Peide .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (01) :83-97
[8]   Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making [J].
Liu, Peide .
JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2013, 79 (01) :131-143
[9]   A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators [J].
Liu, Peide ;
Zhang, Xin ;
Jin, Fang .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2012, 23 (05) :159-168
[10]   Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making [J].
Liu, Peide ;
Jin, Fang .
INFORMATION SCIENCES, 2012, 205 :58-71