Erscheint 6 Ausgaben pro Jahr
ISSN Druckformat: 2152-5080
ISSN Online: 2152-5099
Indexed in
NOVEL SINGLE-VALUED NEUTROSOPHIC AGGREGATED OPERATORS UNDER FRANK NORM OPERATION AND ITS APPLICATION TO DECISION-MAKING PROCESS
ABSTRAKT
Uncertainties play a dominant role during the aggregation process and hence their corresponding decisions are made fuzzier. Single-value neutrosophic numbers (SVNNs) contain the three ranges: truth, indeterminacy, and falsity membership degrees, and are very useful for describing and handling the uncertainties in the day-to-day life situations. In this study, some operations of SVNNs such as sum, product, and scalar multiplication are defined under Frank norm operations and, based on it, some averaging and geometric aggregation operators have been developed. We further establish some of its properties. Moreover, a decision-making method based on the proposed operators is established and illustrated with a numerical example.
-
Garg Harish, Some robust improved geometric aggregation operators under interval-valued intuitionistic fuzzy environment for multi-criteria decision-making process, Journal of Industrial & Management Optimization, 14, 1, 2018. Crossref
-
Wang Le, Zhang Hong-yu, Wang Jian-qiang, Frank Choquet Bonferroni Mean Operators of Bipolar Neutrosophic Sets and Their Application to Multi-criteria Decision-Making Problems, International Journal of Fuzzy Systems, 20, 1, 2018. Crossref
-
Garg Harish, Generalized interaction aggregation operators in intuitionistic fuzzy multiplicative preference environment and their application to multicriteria decision-making, Applied Intelligence, 48, 8, 2018. Crossref
-
Kumar Kamal, Garg Harish, Connection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making, Applied Intelligence, 48, 8, 2018. Crossref
-
Garg Harish, Nancy , Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment, Applied Intelligence, 48, 8, 2018. Crossref
-
Garg Harish, Generalized Intuitionistic Fuzzy Entropy-Based Approach for Solving Multi-attribute Decision-Making Problems with Unknown Attribute Weights, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 89, 1, 2019. Crossref
-
Garg Harish, Nancy , Some New Biparametric Distance Measures on Single-Valued Neutrosophic Sets with Applications to Pattern Recognition and Medical Diagnosis, Information, 8, 4, 2017. Crossref
-
Garg Harish, Kumar Kamal, Some Aggregation Operators for Linguistic Intuitionistic Fuzzy Set and its Application to Group Decision-Making Process Using the Set Pair Analysis, Arabian Journal for Science and Engineering, 43, 6, 2018. Crossref
-
Garg Harish, Confidence levels based Pythagorean fuzzy aggregation operators and its application to decision-making process, Computational and Mathematical Organization Theory, 23, 4, 2017. Crossref
-
Garg Harish, A Linear Programming Method Based on an Improved Score Function for Interval-Valued Pythagorean Fuzzy Numbers and Its Application to Decision-Making, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 26, 01, 2018. Crossref
-
Jun Young, Song Seok-Zun, Smarandache Florentin, Bordbar Hashem, Neutrosophic Quadruple BCK/BCI-Algebras, Axioms, 7, 2, 2018. Crossref
-
Xu Dong-Sheng, Wei Cun, Wei Gui-Wu, Minimum deviation method for single-valued neutrosophic multiple attribute decision making with preference information on alternatives, Journal of Intelligent & Fuzzy Systems, 2018. Crossref
-
Peng Xindong, Dai Jingguo, A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017, Artificial Intelligence Review, 53, 1, 2020. Crossref
-
Li Zengxian, Wei Guiwu, Gao Hui, Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information, Mathematics, 6, 11, 2018. Crossref
-
Pramanik Surapati, Dey Partha, Smarandache Florentin, Ye Jun, Cross Entropy Measures of Bipolar and Interval Bipolar Neutrosophic Sets and Their Application for Multi-Attribute Decision-Making, Axioms, 7, 2, 2018. Crossref
-
Garg Harish, Nancy , Some hybrid weighted aggregation operators under neutrosophic set environment and their applications to multicriteria decision-making, Applied Intelligence, 48, 12, 2018. Crossref
-
Garg Harish, Kumar Kamal, Distance measures for connection number sets based on set pair analysis and its applications to decision-making process, Applied Intelligence, 48, 10, 2018. Crossref
-
Liang Weizhang, Zhao Guoyan, Luo Suizhi, Lenormand Maxime, Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines, PLOS ONE, 13, 11, 2018. Crossref
-
Garg Harish, Nancy , Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment, Symmetry, 10, 7, 2018. Crossref
-
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
-
Bo Chunxin, Zhang Xiaohong, Shao Songtao, Smarandache Florentin, Multi-Granulation Neutrosophic Rough Sets on a Single Domain and Dual Domains with Applications, Symmetry, 10, 7, 2018. Crossref
-
Biswas Pranab, Pramanik Surapati, Giri Bibhas C., Neutrosophic TOPSIS with Group Decision Making, in Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets, 369, 2019. Crossref
-
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
-
Huang Yu-Han, Wei Gui-Wu, TODIM method for interval-valued Pythagorean fuzzy multiple attribute decision making, International Journal of Knowledge-based and Intelligent Engineering Systems, 22, 4, 2018. Crossref
-
Garg Harish, Arora Rishu, Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making, Journal of the Operational Research Society, 69, 11, 2018. Crossref
-
Jun Young, Smarandache Florentin, Song Seok-Zun, Bordbar Hashem, Neutrosophic Permeable Values and Energetic Subsets with Applications in BCK/BCI-Algebras, Mathematics, 6, 5, 2018. Crossref
-
Peng Xindong, Smarandache Florentin, Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation, Expert Systems, 36, 4, 2019. Crossref
-
Ashraf Shahzaib, Abdullah Saleem, Smarandache Florentin, Amin Noor, Logarithmic Hybrid Aggregation Operators Based on Single Valued Neutrosophic Sets and Their Applications in Decision Support Systems, Symmetry, 11, 3, 2019. Crossref
-
Lu Jianping, Wei Cun, Zhang Justin, TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information, Journal of Intelligent & Fuzzy Systems, 37, 2, 2019. Crossref
-
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
-
Jan Naeem, Zedam Lemnaouar, Mahmood Tahir, Ullah Kifayat, Ali Zeeshan, Multiple attribute decision making method under linguistic cubic information, Journal of Intelligent & Fuzzy Systems, 36, 1, 2019. Crossref
-
Peng , Tian , Zhang , Song , Wang , Single-Valued Neutrosophic Power Shapley Choquet Average Operators and Their Applications to Multi-Criteria Decision-Making, Mathematics, 7, 11, 2019. Crossref
-
Jana Chiranjibe, Muhiuddin G., Pal Madhumangal, Multiple-attribute decision making problems based on SVTNH methods, Journal of Ambient Intelligence and Humanized Computing, 11, 9, 2020. Crossref
-
Tian Chao, Zhang Wen Yu, Zhang Shuai, Peng Juan Juan, An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method, Mathematics, 7, 1, 2019. Crossref
-
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
-
Nancy , Parametric Similarity Measures on Linguistic Single-Valued Neutrosophic Sets with Application to Decision-Making Problems, in Intelligent Systems Design and Applications, 940, 2020. Crossref
-
Shen Qing, Huang Xu, Liu Yong, Jiang Yunliang, Zhao Keqin, Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment, Soft Computing, 24, 10, 2020. Crossref
-
Garg Harish, Novel neutrality aggregation operator-based multiattribute group decision-making method for single-valued neutrosophic numbers, Soft Computing, 24, 14, 2020. Crossref
-
Khan Faisal, Abdullah Saleem, Mahmood Tariq, Shakeel Muhammad, Rahim Muhammad, ul Amin Noor, Pythagorean cubic fuzzy aggregation information based on confidence levels and its application to multi-criteria decision making process, Journal of Intelligent & Fuzzy Systems, 36, 6, 2019. Crossref
-
Peng Xindong, Smarandache Florentin, New multiparametric similarity measure for neutrosophic set with big data industry evaluation, Artificial Intelligence Review, 53, 4, 2020. Crossref
-
Mishra Akansha, Kumar Amit, Appadoo S.S., A note on “Novel scaled prioritized intuitionistic fuzzy soft interaction averaging aggregation operators and their application to multi criteria decision making”, Engineering Applications of Artificial Intelligence, 87, 2020. Crossref
-
Nancy , Garg Harish, A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment, Journal of Intelligent & Fuzzy Systems, 36, 1, 2019. Crossref
-
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
-
Luo Minxia, Wu Lixian, Zhou Kaiyan, Zhang Huarong, Multi-criteria decision making method based on the single valued neutrosophic sets1, Journal of Intelligent & Fuzzy Systems, 37, 2, 2019. Crossref
-
Das Sujit, Roy Bikash Koli, Kar Mohuya B., Kar Samarjit, Pamučar Dragan, Neutrosophic fuzzy set and its application in decision making, Journal of Ambient Intelligence and Humanized Computing, 11, 11, 2020. Crossref
-
Garg Harish, Nancy , Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure, AIMS Mathematics, 5, 3, 2020. Crossref
-
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
-
Ashraf Shahzaib, Abdullah Saleem, Zeng Shouzhen, Jin Huanhuan, Ghani Fazal, Fuzzy Decision Support Modeling for Hydrogen Power Plant Selection Based on Single Valued Neutrosophic Sine Trigonometric Aggregation Operators, Symmetry, 12, 2, 2020. Crossref
-
Zeng Shouzhen, Luo Dandan, Zhang Chonghui, Li Xingsen, A Correlation-Based TOPSIS Method for Multiple Attribute Decision Making with Single-Valued Neutrosophic Information, International Journal of Information Technology & Decision Making, 19, 01, 2020. Crossref
-
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
-
Chou Jason Chih-sheng, Lin Yi-Fong, Lin Scott Shu-Cheng, A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set, Computational and Mathematical Methods in Medicine, 2020, 2020. Crossref
-
Tian Chao, Peng Juan Juan, A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator, Mathematics, 8, 7, 2020. Crossref
-
Mishra Akansha, Kumar Amit, Appropriate Weighted Averaging Aggregation Operator Under Some Extensions of the Fuzzy Environment, in Aggregation Operators for Various Extensions of Fuzzy Set and Its Applications in Transportation Problems, 399, 2021. Crossref
-
Khan Shabeer, Abdullah Saleem, Ashraf Shahzaib, Chinram Ronnason, Baupradist Samruam, Lin Mingwei, Decision Support Technique Based on Neutrosophic Yager Aggregation Operators: Application in Solar Power Plant Locations—Case Study of Bahawalpur, Pakistan, Mathematical Problems in Engineering, 2020, 2020. Crossref
-
Tian Chao, Peng Juan Juan, Zhang Zhi Qiang, Goh Mark, Wang Jian Qiang, A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator, Mathematics, 8, 7, 2020. Crossref
-
Irvanizam Irvanizam, Zi Nawar Nabila, Zuhra Rahma, Amrusi Amrusi, Sofyan Hizir, An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems, Axioms, 9, 3, 2020. Crossref
-
Xu Lei, Liu Yi, Liu Fang, Improved MABAC method based on single-valued neutrosophic 2-tuple linguistic sets and Frank aggregation operators for MAGDM, Computational and Applied Mathematics, 40, 8, 2021. Crossref
-
Jana Chiranjibe, Muhiuddin G., Pal Madhumangal, Multi-criteria decision making approach based on SVTrN Dombi aggregation functions, Artificial Intelligence Review, 54, 5, 2021. Crossref
-
Jana Chiranjibe, Pal Madhumangal, Multi-criteria decision making process based on some single-valued neutrosophic Dombi power aggregation operators, Soft Computing, 2021. Crossref
-
Jana Chiranjibe, Pal Madhumangal, Multiple Attribute Decision-Making Based on Uncertain Linguistic Operators in Neutrosophic Environment, in Neutrosophic Operational Research, 2021. Crossref
-
Rahman K., Ayub S., Abdullah S., Generalized intuitionistic fuzzy aggregation operators based on confidence levels for group decision making, Granular Computing, 6, 4, 2021. Crossref
-
Rahman Khaista, Decision-Making Problem Based on Confidence Intuitionistic Trapezoidal Fuzzy Einstein Aggregation Operators and Their Application, New Mathematics and Natural Computation, 18, 01, 2022. Crossref
-
Garg Harish, SVNMPR: A new single‐valued neutrosophic multiplicative preference relation and their application to decision‐making process, International Journal of Intelligent Systems, 37, 3, 2022. Crossref
-
Farid Hafiz Muhammad Athar, Riaz Muhammad, Khan Muhammad Jabir, Kumam Poom, Sitthithakerngkiet Kanokwan, Sustainable thermal power equipment supplier selection by Einstein prioritized linear Diophantine fuzzy aggregation operators, AIMS Mathematics, 7, 6, 2022. Crossref
-
Farid Hafiz Muhammad Athar, Riaz Muhammad, Pythagorean fuzzy prioritized aggregation operators with priority degrees for multi-criteria decision-making, International Journal of Intelligent Computing and Cybernetics, 2022. Crossref
-
Rahman Khaista, Some new logarithmic aggregation operators and their application to group decision making problem based on t-norm and t-conorm, Soft Computing, 26, 6, 2022. Crossref
-
Farid Hafiz Muhammad Athar, Garg Harish, Riaz Muhammad, Santos-García Gustavo, Multi-criteria group decision-making algorithm based on single-valued neutrosophic Einstein prioritized aggregation operators and its applications, Management Decision, 2022. Crossref
-
Farid Hafiz Muhammad Athar, Riaz Muhammad, Single-valued neutrosophic Einstein interactive aggregation operators with applications for material selection in engineering design: case study of cryogenic storage tank, Complex & Intelligent Systems, 8, 3, 2022. Crossref
-
Al-Kenani Ahmad N., Anjum Rukhshanda, Islam Sahidul, Ghorai Ganesh, Intuitionistic Fuzzy Prioritized Aggregation Operators Based on Priority Degrees with Application to Multicriteria Decision-Making, Journal of Function Spaces, 2022, 2022. Crossref
-
Peng Xindong, Neutrosophic Reducible Weighted Maclaurin Symmetric Mean for Undergraduate Teaching Audit and Evaluation, IEEE Access, 7, 2019. Crossref
-
Du Yuqin, Du Xiangjun, Li Yuanyuan, Cui Jian-xin, Hou Fujun, Complex q-rung orthopair fuzzy Frank aggregation operators and their application to multi-attribute decision making, Soft Computing, 26, 22, 2022. Crossref
-
Şahin Rıdvan, Neutrosophic QUALIFLEX based on neutrosophic hesitancy index for selecting a potential antivirus mask supplier over COVID-19 pandemic, Soft Computing, 26, 19, 2022. Crossref
-
Ashraf Shahzaib, Ahmad Shakoor, Naeem Muhammad, Riaz Muhammad, Alam Md. Ashraful, Stevic Zeljko, Novel EDAS Methodology Based on Single-Valued Neutrosophic Aczel-Alsina Aggregation Information and Their Application in Complex Decision-Making, Complexity, 2022, 2022. Crossref