Published 6 issues per year
ISSN Print: 2152-5080
ISSN Online: 2152-5099
Indexed in
CUBIC INTUITIONISTIC FUZZY AGGREGATION OPERATORS
ABSTRACT
The objective of this manuscript is to present some series of aggregation operators under the cubic intuitionistic fuzzy set (CIFS) and their suitable properties. Firstly an operational law, score function, and accuracy function between the cubic intuitionistic fuzzy numbers (CIFNs) under the P-order and R-order are defined and hence based on them, some weighted averaging and geometric aggregation operators, namely, cubic intuitionistic fuzzy weighted, ordered weighted, hybrid averaging, and geometric aggregation operators are proposed. A decision-making method based on these operators is proposed for ranking the different sets of the alternative under CIFS domain. Finally, an illustrative example is given to demonstrate the proposed approach.
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Garg Harish, Kaur Gagandeep, Novel distance measures for cubic intuitionistic fuzzy sets and their applications to pattern recognitions and medical diagnosis, Granular Computing, 5, 2, 2020. Crossref
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Garg Harish, Hesitant Pythagorean fuzzy Maclaurin symmetric mean operators and its applications to multiattribute decision-making process, International Journal of Intelligent Systems, 34, 4, 2019. Crossref
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Garg Harish, Rani Dimple, Some Generalized Complex Intuitionistic Fuzzy Aggregation Operators and Their Application to Multicriteria Decision-Making Process, Arabian Journal for Science and Engineering, 44, 3, 2019. Crossref
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Garg Harish, Nancy , New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers, Cognitive Systems Research, 52, 2018. Crossref
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Kaur Gagandeep, Garg Harish, Generalized Cubic Intuitionistic Fuzzy Aggregation Operators Using t-Norm Operations and Their Applications to Group Decision-Making Process, Arabian Journal for Science and Engineering, 44, 3, 2019. Crossref
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Garg Harish, Kumar Kamal, An extended technique for order preference by similarity to ideal solution group decision-making method with linguistic interval-valued intuitionistic fuzzy information, Journal of Multi-Criteria Decision Analysis, 26, 1-2, 2019. Crossref
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Garg Harish, Nancy , Linguistic single-valued neutrosophic prioritized aggregation operators and their applications to multiple-attribute group decision-making, Journal of Ambient Intelligence and Humanized Computing, 9, 6, 2018. Crossref
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Garg Harish, Rani Dimple, A robust correlation coefficient measure of complex intuitionistic fuzzy sets and their applications in decision-making, Applied Intelligence, 49, 2, 2019. Crossref
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Hashmi Masooma Raza, Riaz Muhammad, A novel approach to censuses process by using Pythagorean m-polar fuzzy Dombi’s aggregation operators, Journal of Intelligent & Fuzzy Systems, 38, 2, 2020. Crossref
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Garg Harish, Rani Dimple, Novel aggregation operators and ranking method for complex intuitionistic fuzzy sets and their applications to decision-making process, Artificial Intelligence Review, 53, 5, 2020. Crossref
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Garg Harish, Neutrality operations-based Pythagorean fuzzy aggregation operators and its applications to multiple attribute group decision-making process, Journal of Ambient Intelligence and Humanized Computing, 11, 7, 2020. Crossref
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Garg Harish, Kumar Kamal, Multiattribute decision making based on power operators for linguistic intuitionistic fuzzy set using set pair analysis, Expert Systems, 36, 4, 2019. Crossref
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Riaz Muhammad, Hashmi Masooma Raza, MAGDM for agribusiness in the environment of various cubic m-polar fuzzy averaging aggregation operators, Journal of Intelligent & Fuzzy Systems, 37, 3, 2019. Crossref
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Garg Harish, Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision-making process, International Journal of Intelligent Systems, 33, 6, 2018. Crossref
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Garg Harish, Rani Dimple, New generalised Bonferroni mean aggregation operators of complex intuitionistic fuzzy information based on Archimedean t-norm and t-conorm, Journal of Experimental & Theoretical Artificial Intelligence, 32, 1, 2020. Crossref
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Garg Harish, Nancy , Algorithms for possibility linguistic single-valued neutrosophic decision-making based on COPRAS and aggregation operators with new information measures, Measurement, 138, 2019. Crossref
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Riaz Muhammad, Hashmi Masooma Raza, Linear Diophantine fuzzy set and its applications towards multi-attribute decision-making problems, Journal of Intelligent & Fuzzy Systems, 37, 4, 2019. Crossref
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Khan Arshad Ahmad, Qiyas Muhammad, Abdullah Saleem, Luo Jianchao, Bano Mahwish, Analysis of Robot Selection Based on 2-Tuple Picture Fuzzy Linguistic Aggregation Operators, Mathematics, 7, 10, 2019. Crossref
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Garg Harish, Kaur Gagandeep, TOPSIS based on nonlinear-programming methodology for solving decision-making problems under cubic intuitionistic fuzzy set environment, Computational and Applied Mathematics, 38, 3, 2019. Crossref
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Riaz Muhammad, Hashmi Masooma Raza, Soft rough Pythagorean m-polar fuzzy sets and Pythagorean m-polar fuzzy soft rough sets with application to decision-making, Computational and Applied Mathematics, 39, 1, 2020. Crossref
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Xu Chuan Yu, Ma Zhen Ming, Symmetric intuitionistic multiplicative aggregation operator for group decision making in intuitionistic multiplicative environments, Journal of Intelligent & Fuzzy Systems, 36, 6, 2019. Crossref
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Rani Dimple, Garg Harish, Some modified results of the subtraction and division operations on interval neutrosophic sets, Journal of Experimental & Theoretical Artificial Intelligence, 31, 4, 2019. Crossref
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Garg Harish, Kumar Kamal, Improved possibility degree method for ranking intuitionistic fuzzy numbers and their application in multiattribute decision-making, Granular Computing, 4, 2, 2019. Crossref
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Khan Qaisar, Hassan Nasruddin, Mahmood Tahir, Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making, Symmetry, 10, 10, 2018. Crossref
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Garg Harish, Intuitionistic Fuzzy Hamacher Aggregation Operators with Entropy Weight and Their Applications to Multi-criteria Decision-Making Problems, Iranian Journal of Science and Technology, Transactions of Electrical Engineering, 43, 3, 2019. Crossref
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Talukdar Pranjal, Dutta Palash, Distance measures for cubic Pythagorean fuzzy sets and its applications to multicriteria decision making, Granular Computing, 6, 2, 2021. Crossref
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Ding Quanyu, Wang Ying-Ming, An Improved Aggregation Operators-based Method for Multiple Attribute Group Decision Making Using Interval-valued Trapezoidal Intuitionistic Fuzzy Sets, Journal of Intelligent & Fuzzy Systems, 37, 1, 2019. Crossref
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Seikh Mijanur Rahaman, Mandal Utpal, Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making, Granular Computing, 6, 3, 2021. Crossref
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Garg Harish, Kumar Kamal, Power Geometric Aggregation Operators Based on Connection Number of Set Pair Analysis Under Intuitionistic Fuzzy Environment, Arabian Journal for Science and Engineering, 45, 3, 2020. Crossref
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Garg Harish, Rani Dimple, Exponential, Logarithmic and Compensative Generalized Aggregation Operators Under Complex Intuitionistic Fuzzy Environment, Group Decision and Negotiation, 28, 5, 2019. Crossref
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Khan Saifullah, Abdullah Saleem, Ashraf Shahzaib, Picture fuzzy aggregation information based on Einstein operations and their application in decision making, Mathematical Sciences, 13, 3, 2019. Crossref
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Liu Yi, Liu Jun, Qin Ya, Dynamic intuitionistic fuzzy multiattribute decision making based on evidential reasoning and MDIFWG operator, Journal of Intelligent & Fuzzy Systems, 36, 6, 2019. Crossref
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Ashraf Shahzaib, Abdullah Saleem, Muneeza , Some novel aggregation operators for cubic picture fuzzy information: application in multi-attribute decision support problem, Granular Computing, 6, 3, 2021. Crossref
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Garg Harish, Nancy , Multiple attribute decision making based on immediate probabilities aggregation operators for single-valued and interval neutrosophic sets, Journal of Applied Mathematics and Computing, 63, 1-2, 2020. Crossref
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Qiyas Muhammad, Abdullah Saleem, Muneeza , A novel approach of linguistic intuitionistic cubic hesitant variables and their application in decision making, Granular Computing, 6, 3, 2021. Crossref
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Muneeza , Abdullah Saleem, Multicriteria Group Decision-Making for Supplier Selection Based on Intuitionistic Cubic Fuzzy Aggregation Operators, International Journal of Fuzzy Systems, 22, 3, 2020. Crossref
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Khan Majid, Gulistan Muhammad, Ali Mumtaz, Chammam Wathek, The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method, Symmetry, 12, 4, 2020. Crossref
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Wang Jun, Shang Xiaopu, Bai Kaiyuan, Xu Yuan, A new approach to cubic q-rung orthopair fuzzy multiple attribute group decision-making based on power Muirhead mean, Neural Computing and Applications, 32, 17, 2020. Crossref
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Riaz Muhammad, Farid Hafiz Muhammad Athar, Karaaslan Faruk, Hashmi Masooma Raza, Some q-rung orthopair fuzzy hybrid aggregation operators and TOPSIS method for multi-attribute decision-making, Journal of Intelligent & Fuzzy Systems, 39, 1, 2020. Crossref
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Abdullah Saleem, Barukab Omar, Qiyas Muhammad, Arif Muhammad, Khan Sher Afzal, Analysis of Decision Support System Based on 2-Tuple Spherical Fuzzy Linguistic Aggregation Information, Applied Sciences, 10, 1, 2019. Crossref
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Şenel Güzide, Lee Jeong-Gon, Hur Kul, Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems, Mathematics, 8, 10, 2020. Crossref
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Riaz Muhammad, Razzaq Ayesha, Kalsoom Humaira, Pamučar Dragan, Athar Farid Hafiz Muhammad, Chu Yu-Ming, q-Rung Orthopair Fuzzy Geometric Aggregation Operators Based on Generalized and Group-Generalized Parameters with Application to Water Loss Management, Symmetry, 12, 8, 2020. Crossref
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Lee Jeong-Gon, Jun Young Bae, Hur Kul, Octahedron Subgroups and Subrings, Mathematics, 8, 9, 2020. Crossref
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Zhang Baosheng, Mahmood Tahir, Ahmmad Jabbar, Khan Qaisar, Ali Zeeshan, Zeng Shouzhen, Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making, Mathematics, 8, 7, 2020. Crossref
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Riaz Muhammad, Hamid Muhammad Tahir, Athar Farid Hafiz Muhammad, Afzal Deeba, TOPSIS, VIKOR and aggregation operators based on q-rung orthopair fuzzy soft sets and their applications, Journal of Intelligent & Fuzzy Systems, 39, 5, 2020. Crossref
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Wang Fei, Zhao Xiaodong, Similarity and Pythagorean reliability measures of multivalued neutrosophic cubic set and its application to multiple‐criteria decision‐making, International Journal of Intelligent Systems, 37, 1, 2022. Crossref
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Qiyas Muhammad, Abdullah Saleem, Naeem Muhammad, Spherical uncertain linguistic Hamacher aggregation operators and their application on achieving consistent opinion fusion in group decision making, International Journal of Intelligent Computing and Cybernetics, 14, 4, 2021. Crossref
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Wang Fei, Zhao Xiaodong, Prospect‐theory and geometric distance measure‐based Pythagorean cubic fuzzy multicriteria decision‐making, International Journal of Intelligent Systems, 36, 8, 2021. Crossref
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Abdullah Saleem, Qiyas Muhammad, Naeem Muhammad, Mamona , Liu Yi, Pythagorean Cubic fuzzy Hamacher aggregation operators and their application in green supply selection problem, AIMS Mathematics, 7, 3, 2022. Crossref
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Senapati Tapan, Yager Ronald R., Chen Guiyun, Cubic intuitionistic WASPAS technique and its application in multi-criteria decision-making, Journal of Ambient Intelligence and Humanized Computing, 12, 9, 2021. Crossref
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Riaz Muhammad, Naeem Khalid, Chinram Ronnason, Iampan Aiyared, jan naeem, Pythagoreanm-Polar Fuzzy Weighted Aggregation Operators and Algorithm for the Investment Strategic Decision Making, Journal of Mathematics, 2021, 2021. Crossref
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Garg Harish, Multi-attribute group decision-making process based on possibility degree and operators for intuitionistic multiplicative set, Complex & Intelligent Systems, 7, 2, 2021. Crossref
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Chen Yujuan, Munir Muhammad, Mahmood Tahir, Hussain Azmat, Zeng Shouzhen, Khan Sami Ullah, Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems, Journal of Mathematics, 2021, 2021. Crossref
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Siddique Imran, Zulqarnain Rana Muhammad, Ali Rifaqat, Alburaikan Alhanouf, Iampan Aiyared, Abd El-Wahed Khalifa Hamiden, Khalil Ahmed Mostafa, A Decision-Making Approach Based on Score Matrix for Pythagorean Fuzzy Soft Set, Computational Intelligence and Neuroscience, 2021, 2021. Crossref
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Qiyas Muhammad, Abdullah Saleem, Liu Yi, Naeem Muhammad, Multi-criteria decision support systems based on linguistic intuitionistic cubic fuzzy aggregation operators, Journal of Ambient Intelligence and Humanized Computing, 12, 8, 2021. Crossref
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Liu Hao bin, Liu Yi, Xu Lei, Abdullah Saleem, Multi-attribute group decision-making for online education live platform selection based on linguistic intuitionistic cubic fuzzy aggregation operators, Computational and Applied Mathematics, 40, 1, 2021. Crossref
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Khoshaim Ahmad Bakr, Qiyas Muhammad, Abdullah Saleem, Naeem Muhammad, Muneeza , An approach for supplier selection problem based on picture cubic fuzzy aggregation operators, Journal of Intelligent & Fuzzy Systems, 40, 5, 2021. Crossref
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Xu Wuhuan, Shang Xiaopu, Wang Jun, Multiple attribute group decision-making based on cubic linguistic Pythagorean fuzzy sets and power Hamy mean, Complex & Intelligent Systems, 7, 3, 2021. Crossref
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Garg Harish, Rani Dimple, Multi-criteria decision making method based on Bonferroni mean aggregation operators of complex intuitionistic fuzzy numbers, Journal of Industrial & Management Optimization, 17, 5, 2021. Crossref
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Qiyas Muhammad, Abdullah Saleem, Khan Saifullah, A Novel Approach of Linguistic Picture Fuzzy Dombi Heronian Mean Operators and their Application to Emergency Program Selection, Journal of Experimental & Theoretical Artificial Intelligence, 2022. Crossref
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Ying Changyan, Slamu Wushour, Ying Changtian, Cubic q-Rung Orthopair Hesitant Exponential Similarity Measures for the Initial Diagnosis of Depression Grades, Symmetry, 14, 4, 2022. Crossref
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Mahmood Tahir, Ali Zeeshan, Baupradist Samruam, Chinram Ronnason, Analysis and Applications of Bonferroni Mean Operators and TOPSIS Method in Complete Cubic Intuitionistic Complex Fuzzy Information Systems, Symmetry, 14, 3, 2022. Crossref
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Hamid Muhammad Tahir, Riaz Muhammad, Naeem Khalid, A study on weighted aggregation operators for q‐ rung orthopair m‐ polar fuzzy set with utility to multistage decision analysis , International Journal of Intelligent Systems, 37, 9, 2022. Crossref
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Madasi Joseph David, Khan Salma, Kausar Nasreen, Pamucar Dragan, Gulistan Muhammad, Sorowen Ben, Oliva Diego, N-Cubic q-Rung Orthopair Fuzzy Sets: Analysis of the Use of Mobile App in the Education Sector, Computational Intelligence and Neuroscience, 2022, 2022. Crossref
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Mahmood Tahir, Ali Zeeshan, Aslam Muhammad, Applications of complex picture fuzzy soft power aggregation operators in multi-attribute decision making, Scientific Reports, 12, 1, 2022. Crossref
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Javed Mubashar, Javeed Shomaila, Ullah Kifayat, Garg Harish, Pamucar Dragan, Elmasry Yasser, Approach to multi-attribute decision-making problems based on neutrality aggregation operators of T-spherical fuzzy information, Computational and Applied Mathematics, 41, 7, 2022. Crossref
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Saeed Muhammad, Saeed Muhammad Haris, Shafaqat Rimsha, Sessa Salvatore, Ishtiaq Umar, di Martino Ferdinando, A Theoretical Development of Cubic Pythagorean Fuzzy Soft Set with Its Application in Multi-Attribute Decision Making, Symmetry, 14, 12, 2022. Crossref
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Qiyas Muhammad, Naeem Muhammad, Muneeza , Arzoo , Logarithmic cubic aggregation operators and their application in online study effect during Covid-19, AIMS Mathematics, 8, 3, 2022. Crossref