Multi-criteria decision-making methods based on q-rung picture fuzzy information

被引:18
作者
Akram, Muhammad [1 ]
Shumaiza [1 ]
机构
[1] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan
关键词
q-Rung picture fuzzy numbers; VIKOR; TOPSIS; entropy weight information; decision-making; PYTHAGOREAN MEMBERSHIP GRADES; MUIRHEAD MEAN OPERATORS; AGGREGATION OPERATORS; COMPROMISE SOLUTION; SUPPLIER SELECTION; VIKOR METHOD;
D O I
10.3233/JIFS-202646
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The q-rung picture fuzzy sets serve the fuzzy set theory as a competent, broader and accomplished extension of q-rung orthopair fuzzy sets and picture fuzzy sets which exhibit excellent performance in modeling the obscure data beyond the limits of existing approaches owing to the parameter q and three real valued membership functions. The accomplished strategy of VIKOR method is established on the major concepts of regret measure and group utility measure to specify the compromise solution. Further, TOPSIS method is another well established multi-criteria decision-making strategy that finds out the best solution with reference to the distances from ideal solutions. In this research study, we propose the innovative and modified versions of VIKOR and TOPSIS techniques using the numerous advantages of q-rung picture fuzzy information for obtaining the compromise results and rankings of alternatives in decision-making problems with the help of two different point-scales of linguistic variables. The procedure for the entropy weighting information is adopted to compute the normal weights of attributes. The q-rung picture fuzzy VIKOR (q-RPF VIKOR) method utilizes ascending order to rank the alternatives on the basis of maximum group utility and minimum individual regret of opponent. Moreover, a compromise solution is established by scrutinizing the acceptable advantage and the stability of decision. In the case of TOPSIS technique, the distances of alternatives to ideal solutions are determined by employing the Euclidean distance between q-rung picture fuzzy numbers. The TOPSIS method provides the ranking of alternatives by considering the descending order of closeness coefficients. For explanation, the presented methodologies are practiced to select the right housing society and the suitable industrial robot. The comparative results of the proposed techniques with four existing approaches are also presented to validate their accuracy and effectiveness.
引用
收藏
页码:10017 / 10042
页数:26
相关论文
共 58 条
[11]   Comparative Investigation on Green Supplier Selection of the American, Japanese and Taiwanese Electronics Industry in China [J].
Chiou, C. Y. ;
Hsu, C. W. ;
Hwang, W. Y. .
IEEM: 2008 INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT, VOLS 1-3, 2008, :1909-+
[12]  
Cuong B.C., 2014, Journal of computer science and cybernetics, V30, P409, DOI DOI 10.15625/1813-9663/30/4/5032
[13]   Research on arithmetic operations over generalized orthopair fuzzy sets [J].
Du, Wen Sheng .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2019, 34 (05) :709-732
[14]   Minkowski-type distance measures for generalized orthopair fuzzy sets [J].
Du, Wen Sheng .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (04) :802-817
[15]  
El-Santawy MF., 2012, Int. J. Comput. Sci, V1, P9
[16]   Multi-Attribute Decision-Making Method Based on Interval-Valued q-Rung Orthopair Fuzzy Archimedean Muirhead Mean Operators [J].
Gao, Hengxia ;
Ju, Yanbing ;
Zhang, Wenkai ;
Ju, Dawei .
IEEE ACCESS, 2019, 7 :74300-74315
[17]   Continuities, Derivatives, and Differentials of q-Rung Orthopair Fuzzy Functions [J].
Gao, Jie ;
Liang, Zhilei ;
Shang, Jennifer ;
Xu, Zeshui .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2019, 27 (08) :1687-1699
[18]   Decision-Making Analysis Based on Fermatean Fuzzy Yager Aggregation Operators with Application in COVID-19 Testing Facility [J].
Garg, Harish ;
Shahzadi, Gulfam ;
Akram, Muhammad .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
[19]   Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making [J].
Garg, Harish .
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2017, 42 (12) :5275-5290
[20]   Spherical fuzzy sets and spherical fuzzy TOPSIS method [J].
Gundogdu, Fatma Kutlu ;
Kahraman, Cengiz .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (01) :337-352