N-soft sets and their decision making algorithms

被引:155
作者
Fatimah, Fatia [1 ,2 ]
Rosadi, Dedi [2 ]
Hakim, R. B. Fajriya [3 ]
Alcantud, Jose Carlos R. [4 ,5 ]
机构
[1] Univ Terbuka, Dept Math, South Tangerang, Indonesia
[2] Univ Gadjah Mada, Dept Math, Yogyakarta, Indonesia
[3] Univ Islam Indonesia, Dept Stat, Yogyakarta, Indonesia
[4] Univ Salamanca, BORDA Res Unit, Salamanca 37007, Spain
[5] Univ Salamanca, IME, Salamanca 37007, Spain
关键词
N-soft set; Non-binary evaluation; Decision making; Choice value; Intersection and union; SIMILARITY MEASURE; CRITERIA;
D O I
10.1007/s00500-017-2838-6
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we motivate and introduce the concept of N-soft set as an extended soft set model. Some useful algebraic definitions and properties are given. We cite real examples that prove that N-soft sets are a cogent model for binary and non-binary evaluations in numerous kinds of decision making problems. Finally, we propose decision making procedures for N-soft sets.
引用
收藏
页码:3829 / 3842
页数:14
相关论文
共 74 条
[21]   Fuzzy m-ary adjacency relations in social network analysis: Optimization and consensus evaluation [J].
Brunelli, Matteo ;
Fedrizzi, Mario ;
Fedrizzi, Michele .
INFORMATION FUSION, 2014, 17 :36-45
[22]   On L-soft merotopies [J].
Cetkin, Vildan ;
Aygun, Halis .
SOFT COMPUTING, 2016, 20 (12) :4779-4790
[23]   Ordering based decision making - A survey [J].
Chen, Shuwei ;
Liu, Jun ;
Wang, Hui ;
Augusto, Juan Carlos .
INFORMATION FUSION, 2013, 14 (04) :521-531
[24]  
Deli I, 2016, NEURAL COMPUT APPL
[25]   Neutrosophic soft matrices and NSM-decision making [J].
Deli, Irfan ;
Broumi, Said .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (05) :2233-2241
[26]   Intuitionistic fuzzy parameterized soft set theory and its decision making [J].
Deli, Irfan ;
Cagman, Naim .
APPLIED SOFT COMPUTING, 2015, 28 :109-113
[27]   An object-parameter approach to predicting unknown data in incomplete fuzzy soft sets [J].
Deng, Tingquan ;
Wang, Xiaofei .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (06) :4139-4146
[28]   Aggregation of non-binary evaluations [J].
Dokow, Elad ;
Holzman, Ron .
ADVANCES IN APPLIED MATHEMATICS, 2010, 45 (04) :487-504
[29]  
Fatimah F, 2017, NEURAL COMPUT APPL
[30]  
Fatimah F, 2017, IEEE INT CONF FUZZY