Publicado 6 números por año
ISSN Imprimir: 2152-5080
ISSN En Línea: 2152-5099
Indexed in
HESITANT PYTHAGOREAN FUZZY SETS AND THEIR AGGREGATION OPERATORS IN MULTIPLE ATTRIBUTE DECISION-MAKING
SINOPSIS
In this article, a new concept of the hesitant Pythagorean fuzzy sets has been presented by combining the concept of the Pythagorean as well as the Hesitant fuzzy sets. Some of the basic operations laws and their properties have been investigated. Further, we have developed some new weighted averaging and geometric aggregation operators named as hesitant Pythagorean fuzzy weighted average and geometric, ordered weighted average and geometric, hybrid average and geometric with hesitant Pythagorean fuzzy information. The properties of these aggregation operators are investigated. The proposed set is the generalization of the sets of fuzzy, intuitionistic fuzzy, hesitant fuzzy, and Pythagorean fuzzy. Additionally, a multiple-attribute decision-making approach is established based on these operators under hesitant Pythagorean fuzzy environment and an example is given to illustrate the application of it. Finally, we compare the results with the existing methods to show the effectiveness of it.
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Chen Ting-Yu, A Novel PROMETHEE-Based Outranking Approach for Multiple Criteria Decision Analysis With Pythagorean Fuzzy Information, IEEE Access, 6, 2018. Crossref
-
Sarwar Musavarah, Akram Muhammad, Zafar Fariha, Decision Making Approach Based on Competition Graphs and Extended TOPSIS Method under Bipolar Fuzzy Environment, Mathematical and Computational Applications, 23, 4, 2018. Crossref
-
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
-
Deng Xiumei, Wang Jie, Wei Guiwu, Lu Mao, Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators, Mathematics, 6, 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
-
Tian Zhang-peng, Nie Ru-xin, Wang Jian-qiang, Zhang Hong-yu, Signed distance-based ORESTE for multicriteria group decision-making with multigranular unbalanced hesitant fuzzy linguistic information, Expert Systems, 36, 1, 2019. Crossref
-
Kumar Kamal, Garg Harish, Prioritized Linguistic Interval-Valued Aggregation Operators and Their Applications in Group Decision-Making Problems, Mathematics, 6, 10, 2018. Crossref
-
Peng Xindong, New similarity measure and distance measure for Pythagorean fuzzy set, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
Yang Wei, Pang Yongfeng, New Pythagorean Fuzzy Interaction Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making, IEEE Access, 6, 2018. Crossref
-
Garg Harish, Kaur Gagandeep, Algorithm for Probabilistic Dual Hesitant Fuzzy Multi-Criteria Decision-Making Based on Aggregation Operators With New Distance Measures, Mathematics, 6, 12, 2018. Crossref
-
Enayattabar Mohammad, Ebrahimnejad Ali, Motameni Homayun, Dijkstra algorithm for shortest path problem under interval-valued Pythagorean fuzzy environment, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
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
-
Garg Harish, Kaur Jaspreet, A Novel (R,S)-Norm Entropy Measure of Intuitionistic Fuzzy Sets and Its Applications in Multi-Attribute Decision-Making, Mathematics, 6, 6, 2018. Crossref
-
Garg Harish, New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications, International Journal of Intelligent Systems, 34, 1, 2019. Crossref
-
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
-
Garg Harish, Arora Rishu, Dual Hesitant Fuzzy Soft Aggregation Operators and Their Application in Decision-Making, Cognitive Computation, 10, 5, 2018. Crossref
-
Selvachandran Ganeshsree, Garg Harish, Quek Shio, Vague Entropy Measure for Complex Vague Soft Sets, Entropy, 20, 6, 2018. Crossref
-
Mandal Prasenjit, Ranadive A. S., Multi-granulation Pythagorean fuzzy decision-theoretic rough sets based on inclusion measure and their application in incomplete multi-source information systems, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
Akram Muhammad, Shumaiza , Arshad Maham, Bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE-I methods to diagnosis, Computational and Applied Mathematics, 39, 1, 2020. Crossref
-
Garg Harish, Arora Rishu, Maclaurin symmetric mean aggregation operators based on t-norm operations for the dual hesitant fuzzy soft set, Journal of Ambient Intelligence and Humanized Computing, 11, 1, 2020. Crossref
-
Arora Rishu, Garg Harish, Group decision-making method based on prioritized linguistic intuitionistic fuzzy aggregation operators and its fundamental properties, Computational and Applied Mathematics, 38, 2, 2019. Crossref
-
Khan Muhammad Sajjad Ali, The Pythagorean fuzzy Einstein Choquet integral operators and their application in group decision making, Computational and Applied Mathematics, 38, 3, 2019. Crossref
-
Nguyen Xuan Thao, Nguyen Van Dinh, Nguyen Van Hanh, Garg Harish, Exponential similarity measures for Pythagorean fuzzy sets and their applications to pattern recognition and decision-making process, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
Wang Peng, Liu Peide, Some Maclaurin symmetric mean aggregation operators based on Schweizer-Sklar operations for intuitionistic fuzzy numbers and their application to decision making, Journal of Intelligent & Fuzzy Systems, 36, 4, 2019. Crossref
-
Firozja M. Adabitabar, Agheli B., Jamkhaneh E. Baloui, A new similarity measure for Pythagorean fuzzy sets, Complex & Intelligent Systems, 6, 1, 2020. Crossref
-
Akram Muhammad, Dar Jawaria Mohsan, Naz Sumera, Pythagorean Dombi fuzzy graphs, Complex & Intelligent Systems, 6, 1, 2020. Crossref
-
Gao Hui, Wu Jiang, Wei Cun, Wei Guiwu, MADM Method With Interval-Valued Bipolar Uncertain Linguistic Information for Evaluating the Computer Network Security, IEEE Access, 7, 2019. Crossref
-
Qu Guohua, An Qianying, Qu Weihua, Deng Feihu, Li Tianjiao, Multiple attribute decision making based on bidirectional projection measures of dual hesitant fuzzy set, Journal of Intelligent & Fuzzy Systems, 37, 5, 2019. Crossref
-
Abdullah Lazim, Mohd Wan Rosanisah Wan, Pythagorean Fuzzy Hamacher Choquet integral operators and their application to multi-criteria decision making, Journal of Intelligent & Fuzzy Systems, 37, 1, 2019. Crossref
-
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
-
Zhong Yanru, Guo Xiuyan, Gao Hong, Qin Yuchu, Huang Meifa, Luo Xiaonan, A new multi-criteria decision-making method based on Pythagorean hesitant fuzzy Archimedean Muirhead mean operators1, Journal of Intelligent & Fuzzy Systems, 37, 4, 2019. Crossref
-
Wang Jun, Zhang Runtong, Li Li, Zhu Xiaomin, Shang Xiaopu, A novel approach to multi-attribute group decision making based on q-rung orthopair uncertain linguistic information, Journal of Intelligent & Fuzzy Systems, 36, 6, 2019. Crossref
-
Akram Muhammad, Mohsan Dar Jawaria, Shahzadi Sundas, Decision Making Approach under Pythagorean Dombi Fuzzy Graphs for Selection of Leading Textile Industry, Mathematical and Computational Applications, 24, 4, 2019. Crossref
-
Yang Wei, Wang Chengjun, Liu Yong, Sun Yan, Hesitant Pythagorean fuzzy interaction aggregation operators and their application in multiple attribute decision-making, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
Abdullah Lazim, Goh Pinxin, Decision making method based on Pythagorean fuzzy sets and its application to solid waste management, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
Akram Muhammad, Dar Jawaria Mohsan, Naz Sumera, Certain graphs under Pythagorean fuzzy environment, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
Xing Yuping, Zhang Runtong, Zhou Zhen, Wang Jun, Some q-rung orthopair fuzzy point weighted aggregation operators for multi-attribute decision making, Soft Computing, 23, 22, 2019. Crossref
-
Olgun Murat, Ünver Mehmet, Yardımcı Şeyhmus, Pythagorean fuzzy topological spaces, Complex & Intelligent Systems, 5, 2, 2019. Crossref
-
Jan Naeem, Aslam Muhammad, Ullah Kifayat, Mahmood Tahir, Wang Jun, An approach towards decision making and shortest path problems using the concepts of interval‐valued Pythagorean fuzzy information, International Journal of Intelligent Systems, 34, 10, 2019. Crossref
-
Ozdemir Yasal, Kaya Sema Kayapinar, Turhan Erkan, A scale to measure sustainable campus services in higher education: “Sustainable Service Quality”, Journal of Cleaner Production, 245, 2020. Crossref
-
Ullah Kifayat, Hassan Nasruddin, Mahmood Tahir, Jan Naeem, Hassan Mazlan, Evaluation of Investment Policy Based on Multi-Attribute Decision-Making Using Interval Valued T-Spherical Fuzzy Aggregation Operators, Symmetry, 11, 3, 2019. Crossref
-
Akram Muhammad, Ilyas Farwa, Garg Harish, Multi-criteria group decision making based on ELECTRE I method in Pythagorean fuzzy information, Soft Computing, 24, 5, 2020. Crossref
-
Garg Harish, Novel neutrality operation–based Pythagorean fuzzy geometric aggregation operators for multiple attribute group decision analysis, International Journal of Intelligent Systems, 34, 10, 2019. Crossref
-
Lathamaheswari M., Nagarajan D., Garg Harish, Kavikumar J., Interval Valued Spherical Fuzzy Aggregation Operators and Their Application in Decision Making Problem, in Decision Making with Spherical Fuzzy Sets, 392, 2021. Crossref
-
Batool Bushra, Ahmad Mumtaz, Abdullah Saleem, Ashraf Shahzaib, Chinram Ronnason, Entropy Based Pythagorean Probabilistic Hesitant Fuzzy Decision Making Technique and Its Application for Fog-Haze Factor Assessment Problem, Entropy, 22, 3, 2020. Crossref
-
Rahman K., Abdullah S., Hussain F., Some Generalised Einstein Hybrid Aggregation Operators and Their Application to Group Decision-making Using Pythagorean Fuzzy Numbers, Fuzzy Information and Engineering, 11, 4, 2019. Crossref
-
Adhami Ahmad Yusuf, Ahmad Firoz, Interactive Pythagorean-hesitant fuzzy computational algorithm for multiobjective transportation problem under uncertainty, International Journal of Management Science and Engineering Management, 15, 4, 2020. Crossref
-
Akram Muhammad, Khan Ayesha, Borumand Saeid Arsham, Complex Pythagorean Dombi fuzzy operators using aggregation operators and their decision‐making , Expert Systems, 38, 2, 2021. Crossref
-
Wang Lei, Garg Harish, Li Na, Pythagorean fuzzy interactive Hamacher power aggregation operators for assessment of express service quality with entropy weight, Soft Computing, 25, 2, 2021. Crossref
-
Sarkar Arun, Biswas Animesh, Dual hesitant q ‐rung orthopair fuzzy Dombi t ‐conorm and t ‐norm based Bonferroni mean operators for solving multicriteria group decision making problems , International Journal of Intelligent Systems, 36, 7, 2021. Crossref
-
Garg Harish, Linguistic Interval-Valued Pythagorean Fuzzy Sets and Their Application to Multiple Attribute Group Decision-making Process, Cognitive Computation, 12, 6, 2020. Crossref
-
Gurmani Shahid Hussain, Chen Huayou, Bai Yuhang, The operational properties of linguistic interval valued q-Rung orthopair fuzzy information and its VIKOR model for multi-attribute group decision making, Journal of Intelligent & Fuzzy Systems, 41, 6, 2021. Crossref
-
Kacprzak Dariusz, A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers, Entropy, 23, 11, 2021. Crossref
-
Akram Muhammad, Luqman Anam, Kahraman Cengiz, Hesitant Pythagorean fuzzy ELECTRE-II method for multi-criteria decision-making problems, Applied Soft Computing, 108, 2021. Crossref
-
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
-
Sarkar Arun, Biswas Animesh, Maclaurin Symmetric Mean-Based Archimedean Aggregation Operators for Aggregating Hesitant Pythagorean Fuzzy Elements and Their Applications to Multicriteria Decision Making, in Pythagorean Fuzzy Sets, 2021. Crossref
-
Sarkar Arun, Deb Nayana, Biswas Animesh, Uncertainty evaluations through interval-valued Pythagorean hesitant fuzzy Archimedean aggregation operators in multicriteria decision making, Intelligent Decision Technologies, 15, 4, 2022. Crossref
-
Singh Surender, Ganie Abdul Haseeb, Generalized hesitant fuzzy knowledge measure with its application to multi-criteria decision-making, Granular Computing, 7, 2, 2022. Crossref
-
Batool Bushra, Abdullah Saleem, Ashraf Shahzaib, Ahmad Mumtaz, Pythagorean probabilistic hesitant fuzzy aggregation operators and their application in decision-making, Kybernetes, 51, 4, 2022. Crossref
-
Chen Ting-Yu, A Mixed-Choice-Strategy-Based Consensus Ranking Method for Multiple Criteria Decision Analysis Involving Pythagorean Fuzzy Information, IEEE Access, 6, 2018. Crossref
-
Han Qi, Li Weimin, Xu Qiling, Song Yafei, Fan Chengli, Zhao Minrui, Novel measures for linguistic hesitant Pythagorean fuzzy sets and improved TOPSIS method with application to contributions of system-of-systems, Expert Systems with Applications, 199, 2022. Crossref
-
Deb Nayana, Sarkar Arun, Biswas Animesh, Multi-attribute Group Decision Making Through the Development of Dombi Bonferroni Mean Operators Using Dual Hesitant Pythagorean Fuzzy Data, in Proceedings of Academia-Industry Consortium for Data Science, 1411, 2022. Crossref
-
Shoaib Muhammad, Mahmood Waqas, Albalawi Weded, Shami Faria Ahmad, Al-Olayan Hanan A., Notion of Complex Spherical Fuzzy Graph with Application, Journal of Function Spaces, 2022, 2022. Crossref
-
Akram Muhammad, Nawaz Hafiza Saba, Inter-specific competition among trees in pythagorean fuzzy soft environment, Complex & Intelligent Systems, 8, 2, 2022. Crossref
-
Sun Gang, Hua Weican, Wang Guijun, Interactive group decision making method based on probabilistic hesitant Pythagorean fuzzy information representation, Applied Intelligence, 2022. Crossref
-
Agheli B., Adabitabar Firozja M., Garg H., Similarity measure for Pythagorean fuzzy sets and application on multiple criteria decision making, Journal of Statistics and Management Systems, 25, 4, 2022. Crossref
-
Karaaslan Faruk, Al-Husseinawi Abdulrasool Hasan Sultan, Hesitant T-spherical Dombi fuzzy aggregation operators and their applications in multiple criteria group decision-making, Complex & Intelligent Systems, 8, 4, 2022. Crossref
-
Bao Hengjia, Shi Xuecheng, Cavallaro Fausto, Robot Selection Using An Integrated MAGDM Model Based on ELECTRE Method and Linguistic q-Rung Orthopair Fuzzy Information, Mathematical Problems in Engineering, 2022, 2022. Crossref
-
Sarkar Arun, Biswas Animesh, Interval-valued hesitant Pythagorean fuzzy Archimedean aggregation operators and their application to multicriteria decision-making, Decision Analytics Journal, 4, 2022. Crossref
-
Attaullah , Ashraf Shahzaib, Rehman Noor, Khan Asghar, Naeem Muhammad, Park Choonkil, A wind power plant site selection algorithm based on q-rung orthopair hesitant fuzzy rough Einstein aggregation information, Scientific Reports, 12, 1, 2022. Crossref