MULTI-CRITERIA DECISION MAKING METHOD BASED ON BONFERRONI MEAN AGGREGATION OPERATORS OF COMPLEX INTUITIONISTIC FUZZY NUMBERS

被引:26
作者
Garg, Harish [1 ]
Rani, Dimple [1 ]
机构
[1] Thapar Inst Engn & Technol Deemed Univ, Sch Math, Patiala 147004, Punjab, India
关键词
Bonferroni mean; multicriteria decision-making; aggregation operators; Complex intuitionistic fuzzy set; geometric operators; SET;
D O I
10.3934/jimo.2020069
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Complex intuitionistic fuzzy sets (CIFSs), characterized by complex-valued grades of membership and non-membership, are a general-ization of standard intuitionistic fuzzy (IF) sets that better speak to time-periodic issues and handle two-dimensional data in a solitary set. Under this environment, in this article, various mean-type operators, namely complex IF Bonferroni means (CIFBM) and complex IF weighted Bonferroni mean (CIFWBM) are presented along with their properties and numerous partic-ular cases of CIFBM are discussed. Further, using the presented operators a decision-making approach is developed and is illustrated with the help of a practical example. Also, the reliability of the developed methodology is in-vestigated with the aid of validity test criteria and the example results are compared with prevailing methods based on operators.
引用
收藏
页码:2279 / 2306
页数:28
相关论文
共 49 条
[1]   The complex neutrosophic soft expert set and its application in decision making [J].
Al-Quran, Ashraf ;
Hassan, Nasruddin .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (01) :569-582
[2]   Complex neutrosophic set [J].
Ali, Mumtaz ;
Smarandache, Florentin .
NEURAL COMPUTING & APPLICATIONS, 2017, 28 (07) :1817-1834
[3]   Complex Atanassov's Intuitionistic Fuzzy Relation [J].
Alkouri, Abd Ulazeez M. ;
Salleh, Abdul Razak .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[4]   Complex Intuitionistic Fuzzy Sets [J].
Alkouri, Abdulazeez S. ;
Salleh, Abdul Razak .
INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 :464-470
[5]   Group decision-making method based on prioritized linguistic intuitionistic fuzzy aggregation operators and its fundamental properties [J].
Arora, Rishu ;
Garg, Harish .
COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (02)
[6]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[7]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[8]  
Bonferroni C., 1950, Bollettino dell'Unione MatematicaItaliana, V5, P267
[9]   Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators [J].
Chen, Shyi-Ming ;
Chang, Chia-Hao .
INFORMATION SCIENCES, 2016, 352 :133-149
[10]   On Pythagorean and Complex Fuzzy Set Operations [J].
Dick, Scott ;
Yager, Ronald R. ;
Yazdanbakhsh, Omolbanin .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (05) :1009-1021