Article
Economics
Xiaoli Tian, Meiling Niu, Weike Zhang, Lanhao Li, Enrique Herrera-Viedma
Summary: This paper proposes a novel TODIM method based on prospect theory and q-rung orthopair fuzzy set, with a new distance and a new evaluation index system, which shows good effectiveness in selecting green suppliers.
TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY
(2021)
Article
Multidisciplinary Sciences
Kholood Alnefaie, Qin Xin, Ahmad Almutlg, El-Sayed A. Abo-Tabl, M. Haris Mateen
Summary: In this manuscript, a novel framework of the q-rung orthopair fuzzy subfield (q-ROFSF) is proposed, and it is illustrated that every Pythagorean fuzzy subfield is a q-rung orthopair fuzzy subfield of a certain field. The theory is extended and its diverse basic algebraic characteristics are discussed in detail. Furthermore, fundamental results are proved and helpful examples related to them are established. Moreover, the homomorphic images and pre-images of the q-rung orthopair fuzzy subfield (q-ROFSF) under field homomorphism are presented. A novel ideology of a non-standard fuzzy subfield in the extension of the q-rung orthopair fuzzy subfield (q-ROFSF) is provided.
Article
Computer Science, Information Systems
Jingshui Ping, Mohammed Atef, Ahmed Mostafa Khalil, Muhammad Riaz, Nasruddin Hassan
Summary: The paper introduces q-rung orthopair fuzzy soft rough sets and m-polar fuzzy sets for dealing with uncertain knowledge in decision making. By defining new models and studying their characteristics, two new algorithms were proposed to address MADM issues, which were proven to be rational and effective through successful applications and comparative analyses.
Article
Computer Science, Artificial Intelligence
Xindong Peng, Yanru Wang, Zhigang Luo
Summary: The q-rung orthopair fuzzy set is a fuzzy set extension where the sum of q power of membership degree, non-membership degree, and hesitation degree equals 1. Inequality in q-rung orthopair fuzzy set is important in uncertainty theory. This paper constructs q-rung orthopair fuzzy inequalities based on equality in definition and proves them using well-known inequalities such as Rearrangement, Mean, Chebyshev, Nesbitt, Power-Mean, Cauchy, Carlson, Wei-Wei dual, Holder, Minkowski, Jensen, Tangent, Schur, Muirhead, Vasc, or their mix forms. Furthermore, the paper derives other q-rung orthopair fuzzy inequalities based on existing operations, providing a new foundation for these inequalities.
Article
Mathematics, Applied
Naeem Jan, Jeonghwan Gwak, Harish Garg, Younghoon Jeon, Hyoungku Kang
Summary: This paper introduces a new concept, the Complex q-rung Orthopair Fuzzy Soft Relation (CqROFSRs), which is achieved through the Cartesian product of two Complex q-rung Orthopair Fuzzy Soft Sets (CqROFSSs). The proposed model effectively captures and models graded imprecision and vagueness encountered in human interpretations. It provides a mathematical framework for ranking-based fuzzy modeling of two-dimensional paradoxical data and has unrivaled power in managing ambiguity due to the utilization of complex numbers. Furthermore, the CqROFSRs framework is inclusive, encompassing both membership and non-membership degrees with regard to time duration, and has been demonstrated to be useful in selecting optimal energy utilization areas.
Article
Green & Sustainable Science & Technology
Huseyin Kamaci, Subramanian Petchimuthu
Summary: The paper proposes a new tool called interval-valued bipolar q-rung orthopair fuzzy sets to deal with fuzziness and uncertainty in real-world scenes. This tool makes full use of q-rung orthopair fuzzy sets and reflects both quantitative and qualitative assessments. The paper also describes prevailing similarity measures in the context of interval-valued bipolar q-rung orthopair fuzzy sets.
ENVIRONMENT DEVELOPMENT AND SUSTAINABILITY
(2022)
Article
Multidisciplinary Sciences
Asima Razzaque, Abdul Razaq, Ghaliah Alhamzi, Harish Garg, Muhammad Iftikhar Faraz
Summary: This article defines q-rung orthopair fuzzy ideals (q-ROFIs) in conventional rings and investigates its various algebraic features. The notion of q-rung orthopair fuzzy cosets (q-ROFCs) of a q-ROFI is introduced and it is demonstrated that, under certain binary operations, the collection of all q-ROFCs of a q-ROFI forms a ring. The notion of q-rung orthopair fuzzy semi-prime ideals (q-ROFSPIs) is presented and a comprehensive explanation of their many algebraic properties is provided. Regular rings are characterized using q-ROFIs.
Article
Green & Sustainable Science & Technology
Adem Pinar, Babak Daneshvar Rouyendegh, Yavuz Selim Ozdemir
Summary: Supply chain management aims to enhance competitive stress, with green supplier selection becoming crucial in today's environmentally conscious world. The focus in new methods is on environmental sensitivity and sustainability, with more stable and accurate results achieved through the q-ROF TOPSIS algorithm.
Article
Mathematics
Ghous Ali, Hanan Alolaiyan, Dragan Pamucar, Muhammad Asif, Nimra Lateef
Summary: The study introduces a new q-rung orthopair fuzzy bipolar soft set model, which is capable of handling multi-attribute decision-making and has been successfully tested for various operations. It also explores the model's application in two real-life scenarios and compares it with existing models.
Article
Computer Science, Information Systems
Kamal Kumar, Shyi-Ming Chen
Summary: This paper proposes the q-rung orthopair fuzzy weighted averaging (q-ROFWA) aggregation operator for q-rung orthopair fuzzy numbers (q-ROFNs), and introduces a new group decision making method based on this operator. These methods overcome the drawbacks of existing approaches and provide an effective approach to deal with group decision making problems in q-rung orthopair fuzzy environments.
INFORMATION SCIENCES
(2022)
Article
Computer Science, Artificial Intelligence
Zaoli Yang, Tingting Zhang, Salman Ahmad, Shivam Gupta
Summary: This paper proposes a multicriteria group decision-making method based on an interaction and feedback mechanism and q-rung orthopair fuzzy sets theory. The method addresses the challenges of changing supplier selection criteria and differences among decision-makers. Using a real-life case study, the results show that the proposed method can help enterprises choose suitable suppliers by considering both the differences among decision-makers and the dynamic changes of supplier selection criteria.
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Zhenghai Ai, Zeshui Xu, Ronald R. Yager, Jianmei Ye
Summary: This paper introduces Yager's q-rung orthopair fuzzy set and q-rung orthopair fuzzy number, and discusses their applications in handling continuous q-rung orthopair fuzzy information. By studying the q-rung orthopair fuzzy double integrals in the framework of ATTs, the basic properties and relationships with fuzzy spaces are explored in depth.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Jayakumar Vimala, P. Mahalakshmi, Atiqe Ur Rahman, Muhammad Saeed
Summary: Multi-attribute decision making aims to rank alternatives or select the best ones. This study introduces q-rung orthopair multi-fuzzy set and q-rung orthopair multi-fuzzy soft set, which combine the advantages of q-rung orthopair fuzzy set and multi-fuzzy soft set. These new notions are better at expressing unclear and vague information. Their fundamental operations are defined and a TOPSIS mechanism is proposed to rank airlines during the COVID-19 pandemic in a q-rung orthopair multi-fuzzy soft environment. A comparative analysis confirms the superiority of the proposed method.
Article
Computer Science, Artificial Intelligence
Xindong Peng, Haihui Huang, Zhigang Luo
Summary: This study analyzes the information measure based on q-rung orthopair fuzzy set and proposes a comprehensive weight determination method to avoid the negative impact of extreme data on evaluation results. By combining objective weights and subjective weights, and considering both objective data and subjective emotion, the effectiveness of the proposed method is demonstrated.
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Yu-Ming Chu, Harish Garg, Muhammad Rahim, Fazli Amin, Asim Asiri, Eskandar Ameer
Summary: This paper introduces a new type of fuzzy set, called p, q-cubic quasi-rung orthopair fuzzy set (p, q-CQOFS), which allows for a more flexible and detailed expression of incomplete information. It describes the concept and mathematical properties of p, q-CQOFS, defines a Hamming distance measure between two p, q-CQOFSs, investigates basic operations and extends them to aggregation operators, and introduces weighted averaging and geometric aggregation operators for combining p, q-cubic quasi-rung orthopair fuzzy data.
COMPLEX & INTELLIGENT SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Adem Pinar, Fatih Emre Boran
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
(2020)
Article
Green & Sustainable Science & Technology
Adem Pinar, Babak Daneshvar Rouyendegh, Yavuz Selim Ozdemir
Summary: Supply chain management aims to enhance competitive stress, with green supplier selection becoming crucial in today's environmentally conscious world. The focus in new methods is on environmental sensitivity and sustainability, with more stable and accurate results achieved through the q-ROF TOPSIS algorithm.
Article
Computer Science, Artificial Intelligence
Adem Pinar, Fatih Emre Boran
Summary: Different higher order fuzzy sets have been introduced to handle uncertainty in decision making and data mining. This paper introduces a novel distance measure for q-RPFS and applies it in group decision making and classification in q-RPF environment. The proposed classification algorithm shows the highest average accuracy compared to other algorithms.
ARTIFICIAL INTELLIGENCE REVIEW
(2022)