Complex neutrosophic generalised dice similarity measures and their application to decision making

被引:43
作者
Ali, Zeeshan [1 ]
Mahmood, Tahir [1 ]
机构
[1] Int Islamic Univ, Dept Math & Stat, Islamabad, Pakistan
关键词
INTUITIONISTIC FUZZY-SETS; AGGREGATION OPERATORS; VAGUE SETS; NUMBERS;
D O I
10.1049/trit.2019.0084
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Complex neutrosophic set (CNS) is a modified version of the complex fuzzy set, to cope with complicated and inconsistent information in the environment of fuzzy set theory. The CNS is characterised by three functions expressing the degree of complex-valued membership, complex-valued abstinence and degree of complex-valued non-membership. The aim of this manuscript is to initiate the novel dice similarity measures and generalised dice similarity using CNS. The special cases of the investigated measures are discussed with the help of some remarks. Moreover, some distance measures based on CNS are also proposed in this manuscript. Then, the authors applied the generalised dice similarity measures and weighted generalised dice similarity measures using CNS to the pattern recognition model to examine the reliability and superiority of the established approaches. The advantages and comparative analysis of the proposed measures with existing measures are also discussed in detail. At last, a numerical example is provided to illustrate the validity and applicability of the presented measures.
引用
收藏
页码:78 / 87
页数:10
相关论文
共 70 条
[1]   Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making [J].
Ali, Mumtaz ;
Luu Quoc Dat ;
Le Hoang Son ;
Smarandache, Florentin .
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2018, 20 (03) :986-999
[2]   Complex neutrosophic set [J].
Ali, Mumtaz ;
Smarandache, Florentin .
NEURAL COMPUTING & APPLICATIONS, 2017, 28 (07) :1817-1834
[3]   Complex Intuitionistic Fuzzy Sets [J].
Alkouri, Abdulazeez S. ;
Salleh, Abdul Razak .
INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 :464-470
[4]  
[Anonymous], 2019, STUD IND HIST SH
[5]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[6]   A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition [J].
Boran, Fatih Emre ;
Akay, Diyar .
INFORMATION SCIENCES, 2014, 255 :45-57
[7]  
Broumi S., 2014, International Frontier Science Letters, V1, P1
[8]  
Broumi S, 2014, ITAL J PURE APPL MAT, P493
[9]   FUZZY COMPLEX NUMBERS [J].
BUCKLEY, JJ .
FUZZY SETS AND SYSTEMS, 1989, 33 (03) :333-345
[10]   FUZZY TOPOLOGICAL SPACES [J].
CHANG, CL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 24 (01) :182-&