Article
Automation & Control Systems
Wenyi Zeng, Rong Ma, Deqing Li, Qian Yin, Zeshui Xu
Summary: In this paper, a distance measure for hesitant fuzzy elements is proposed, and its related properties are investigated. Additionally, some novel similarity measures for hesitant fuzzy sets are developed and compared with existing measures. Finally, these measures are applied to image segmentation to demonstrate their effectiveness.
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
(2022)
Article
Mathematics
Chunsheng Cui, Jielu Li, Zhenchun Zang
Summary: This paper investigates the sparse matrix processing issue in recommendation system using hesitant fuzzy set method. By transforming and processing data, it effectively solves the product similarity problem in the sparse matrix, offering a feasible approach for calculating similarity in the recommendation system.
Article
Computer Science, Interdisciplinary Applications
Quanyu Ding, Ying-Ming Wang, Mark Goh, Rosa M. Rodriguez, Luis Martinez
Summary: Real-world decision-making problems are often defined under uncertain contexts. To overcome these problems, this paper introduces a new decision-making model that considers the psychological behavior of decision makers and facilitates preference modeling under uncertainty.
COMPUTERS & INDUSTRIAL ENGINEERING
(2022)
Article
Computer Science, Artificial Intelligence
Wenyi Zeng, Yue Xi, Qian Yin, Ping Guo
Summary: This paper introduces the concepts of weighted dual hesitant fuzzy set and element, explores their basic operations and aggregation operators, and proposes an approach to group decision making based on weighted dual hesitant fuzzy elements.
Article
Multidisciplinary Sciences
Jawad Ali, Ahmad N. Al-kenani
Summary: We introduce the dual hesitant fuzzy linguistic term set, which expresses the grade of membership and non-membership using two functions. We identify issues with the existing complement operation and propose a redefinition. Additionally, we propose the concept of information energy and two vector similarity measures for the dual hesitant fuzzy linguistic term set. Finally, we construct a model with unknown weight information based on similarity measures and validate it through an illustrated example.
Article
Mathematics, Applied
I. U. Karim, M. F. Akkash, S. Raha
Summary: In this study, a reasoning mechanism under uncertainty for decision making problems based on fuzzy soft set theory was developed. A logic of fuzzy soft sets was considered, and implication operations dealing with fuzzy soft sets over different universal sets and parameters were extensively studied. An algorithm for rule based reasoning was developed, and the proposed inference was compared with results from another study on managing hypertension using a medical diagnostic support system.
IRANIAN JOURNAL OF FUZZY SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Jawad Ali, Zia Bashir, Tabasam Rashid
Summary: This study aims to revise the distance and similarity measures of dual hesitant fuzzy sets (DHFS) to address their limitations, applying them to pattern recognition and multi-criteria group decision-making. The study also extends the statistical variance method to DHFS and proposes a revised distance measure method.
Article
Engineering, Multidisciplinary
Baoquan Ning, Hongjun Wang, Guiwu Wei, Cun Wei
Summary: Probabilistic dual hesitant fuzzy set is a powerful tool for expressing and dealing with uncertain information. This study proposes a novel score function for probabilistic dual hesitant fuzzy elements, a weighting method for decision attributes based on entropy measure, and a new multi-attribute group decision-making technique.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Computer Science, Artificial Intelligence
Bornali Saikia, Palash Dutta, Pranjal Talukdar
Summary: This article discusses the importance of uncertainty in decision-making processes and explores various methods for uncertainty modeling, including fuzzy sets, intuitionistic fuzzy sets, and Pythagorean fuzzy sets. The authors propose an advanced similarity measure for Pythagorean fuzzy sets and apply it to solve transportation problems. The significance of the proposed method is demonstrated through comparisons with other existing methods and statistical tests.
ARTIFICIAL INTELLIGENCE REVIEW
(2023)
Article
Computer Science, Artificial Intelligence
Swarup Kr Ghosh, Anupam Ghosh, Siddhartha Bhattacharyya
Summary: Gene expression analysis plays a crucial role in microarray research. This article introduces a novel feature extraction method based on Intuitionistic fuzzy set for identifying cancer-related human biomarkers. The experimental results demonstrate the effectiveness of this method on microarray datasets.
APPLIED SOFT COMPUTING
(2022)
Article
Computer Science, Artificial Intelligence
Lipeng Pan, Xiaozhuan Gao, Yong Deng, Kang Hao Cheong
Summary: Pythagorean fuzzy set (PFS) is an extension of the intuitionistic fuzzy set, capable of expressing and handling fuzzy information. However, it lacks a mathematical tool to represent probability information. In this article, constrained Pythagorean fuzzy set (CPFS) is proposed to describe fuzzy and stochastic information under uncertainty, along with a similarity measure method. Experimental results demonstrate the feasibility and effectiveness of this model.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Yanxia Wei, Qinghai Wang
Summary: Compared to hesitant fuzzy sets and intuitionistic fuzzy sets, dual hesitant fuzzy sets can model problems more comprehensively. This paper proposes a variety of new distance measurements and applies them to a clustering algorithm, which demonstrates the effectiveness of the method.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Chenyang Song, Zeshui Xu, Jian Hou
Summary: The hesitant fuzzy psychological distance measure proposes a new similarity measure by considering the preference relationships between alternatives, providing more accurate guidance for decision-making.
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
(2021)
Article
Computer Science, Artificial Intelligence
Baoquan Ning, Guiwu Wei, Yanfeng Guo
Summary: This study proposes distance and similarity measures for probabilistic dual hesitant fuzzy sets and applies these methods to solve multi-attribute group decision-making problems in a probabilistic dual hesitation fuzzy environment. The technique is applied to the suitability evaluation of new urbanization and is proven to be superior through comparison with existing methods.
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
(2022)
Editorial Material
Computer Science, Artificial Intelligence
Akansha Mishra, Amit Kumar, S. S. Appadoo
Summary: Li and Chen proposed the concept of D-intuitionistic hesitant fuzzy set and a method for comparing them, which was later found to be inadequate for distinguishing distinct sets.
COGNITIVE COMPUTATION
(2021)
Article
Operations Research & Management Science
Soumen Kumar Das, Magfura Pervin, Sankar Kumar Roy, Gerhard Wilhelm Weber
Summary: This paper studies the optimization of facility location, transportation, and inventory management in a multi-objective environment. By introducing a new hybrid approach, the authors find the optimal solution that meets various objectives, and validate its effectiveness through numerical examples.
ANNALS OF OPERATIONS RESEARCH
(2023)
Article
Operations Research & Management Science
Asim Paul, Magfura Pervin, Sankar Kumar Roy, Nelson Maculan, Gerhard-Wilhelm Weber
Summary: This paper discusses the impact of green retail practices on profitability, exploring optimal replenishment time and green concern level for profit maximization. The study shows that investing in green operations can significantly increase profits for retailers, with the level of greening directly impacting purchasing and selling prices.
ANNALS OF OPERATIONS RESEARCH
(2022)
Article
Computer Science, Artificial Intelligence
Jishu Jana, Sankar Kumar Roy
Summary: This study introduces a new Linguistic Pythagorean Hesitant Fuzzy Set (LPHFS) to handle the hesitant situation in decision making. A linguistic Pythagorean hesitant fuzzy distance measure based on game theoretical framework is proposed to solve the cross-influence problem. The application of LPHFS to Multi-Criteria Decision Making game is analyzed using the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS).
APPLIED INTELLIGENCE
(2023)
Article
Operations Research & Management Science
Shyamali Ghosh, Karl-Heinz Kuefer, Sankar Kumar Roy, Gerhard-Wilhelm Weber
Summary: The urgency of fresh items is increasing, especially in long-distance transportation where the rate of deterioration for perishable items is increasing. If the items do not reach the destination within a specified time, their freshness is compromised and suppliers are penalized. To address this issue, time window restrictions and preservation technology are introduced. A model is formulated for a multi-objective fixed-charge solid transportation problem to reduce the deterioration rate. Various objectives, such as transportation cost, preservation cost, and penalty charges, are optimized simultaneously. Uncertainty in source, demand, and conveyance capacity is addressed using type-2 zigzag uncertain variable. Different approaches are used to find the Pareto-optimal solution. The study's main contribution is reducing the deterioration of perishable items during transportation.
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH
(2023)
Article
Computer Science, Artificial Intelligence
Arijit Mondal, Sankar Kumar Roy, Dragan Pamucar
Summary: This paper presents a novel three-way multi-attribute decision making model by combining three-way decision making and multi-attribute decision making under an incomplete information system. The proposed model effectively reduces decision risk and loss and demonstrates superiority in dealing with incomplete multi-attribute decision making problems.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Operations Research & Management Science
Shyamali Ghosh, Sankar Kumar Roy, Gerhard-Wilhelm Weber
Summary: An integrated multi-objective environment is investigated in this paper to evaluate a waste management problem in order to develop sustainability. Three objective functions are optimized, including cost, time, and carbon emission. Cap and trade policy is used to reduce carbon emission and provide economic opportunities. A strategy is proposed to optimize sustainability factors in solid waste management. Numerical problems are evaluated using advanced methods and Pareto-optimal solutions are obtained, suggesting the complexity of applying cap and trade policy or waste management in real-world situations. The overall conclusion recommends utilizing carbon policies to minimize carbon emissions and establish waste management projects based on sustainability.
ANNALS OF OPERATIONS RESEARCH
(2023)
Article
Computer Science, Artificial Intelligence
Kaushik Debnath, Sankar Kumar Roy
Summary: T-spherical fuzzy set (T-SFS) is an effective tool for uncertainty in decision-making process. Weighted power partitioned neutral average and weighted power partitioned neutral geometric operators are developed under T-SFS environment. A new modified score function for T-SFS is formulated and applied in a case study on hydrogen (H2) refuelling station site selection, with a comparative study of the developed operators.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Computer Science, Artificial Intelligence
Haripriya Barman, Sankar Kumar Roy, Leonidas Sakalauskas, Gerhard-Wilhelm Weber
Summary: The increasing industrial activities and vehicle usage for transportation have led to environmental problems such as greenhouse gas emissions and global warming. To address the crucial issue of environmental pollution, companies are now focused on lowering carbon emissions while achieving their financial goals. This study aims to develop a multi-objective supply chain inventory management model that considers deteriorating products and imperfect quality production in a neutrosophic environment. Various carbon reduction policies and green technology are implemented to mitigate the impact of carbon emissions. Preservation technology is utilized to reduce the deterioration rate. Uncertain parameters related to inventory management are handled using single valued trapezoidal neutrosophic numbers, and a ranking approach is designed to transform them into deterministic values. Comparisons are made between different reworking processes and different models. Sensitivity analysis of important parameters is also conducted to provide managerial insights.
ADVANCED ENGINEERING INFORMATICS
(2023)
Article
Energy & Fuels
Arijit Mondal, Binoy Krishna Giri, Sankar Kumar Roy
Summary: The feasibility of the Indian government's green initiative to blend 20% fuel grade ethanol with gasoline is examined through the modeling of a sustainable integrated bio-fuel and bio-energy supply chain, addressing the environmental and depleting reserves crisis of fossil fuels. A multi-objective mixed integer programming model is developed to analyze the technological, economic, environmental, and social aspects of the supply chain, considering various feedstocks, supply zones, products, and multiple periods. An innovative fuzzy-random robust flexible programming approach is introduced to handle uncertainty and risk in decision making.
Article
Computer Science, Artificial Intelligence
Shyamali Ghosh, Sankar Kumar Roy
Summary: Waste management plays a significant role in global development across various fields. The multi-objective waste management problem aims to address the negative impact of waste items on social, economic, and environmental aspects through a closed-loop approach and vehicle routing under time window restrictions. The use of neutrosophic hesitant fuzzy environment and ranking approach helps to overcome the challenges of this problem.
APPLIED SOFT COMPUTING
(2023)
Article
Computer Science, Artificial Intelligence
Binoy Krishna Giri, Sankar Kumar Roy, Muhammet Deveci
Summary: Electricity is an essential part of our lives and the increase in earth's temperature in recent years has been attributed to the burning of conventional energy sources, leading to global warming. To address this issue, a multi-objective mixed-integer programming model is proposed to design a sustainable electric supply chain network that considers resiliency and responsiveness. The model incorporates power-to-gas (P2G) technology as an environment-friendly system to reduce carbon levels by converting carbon dioxide (CO2) from thermal power plants to hydrogen (H-2) using water (H2O) and methane (CH4) gas. A novel fuzzy robust flexible programming approach and a multi-choice conic goal programming with utility function are introduced to solve the proposed model. The case study of Damodar Valley Corporation (DVC) in India highlights the importance of sustainable electric supply chain management. The experimental results demonstrate the successful establishment of bio-fuel, photovoltaic, air turbine, and mixed-cycle power plants at the end of the scheduled period.
APPLIED SOFT COMPUTING
(2023)
Article
Operations Research & Management Science
Selma Gutmen, Sankar Kumar Roy, Gerhard-Wilhelm Weber
Summary: Goal programming is an effective method for solving real-world multi-objective decision-making problems. The term multi-objective transportation problem refers to a specific class of linear programming problems with multiple competing and incompatible objective functions. This article summarizes the application of goal programming and weighted goal programming in multi-objective transportation problems, and illustrates the advantages of the latter through a theorem. A solution procedure for the problem is articulated using weighted goal programming. An application example on screen-panels of mobile devices is presented to demonstrate its applicability. The article concludes with an outlook to future studies, addressing both internal and external transportation and emphasizing a broad understanding of logistics.
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH
(2023)
Article
Computer Science, Artificial Intelligence
Arijit Mondal, Sankar Kumar Roy, Jianming Zhan
Summary: In this study, a consensus model is proposed based on the Z-number framework to address the issue of inconsistent information in multi-attribute group decision making problems. The model considers the reliability of experts' opinions by using linguistic hesitant-Z-number (LHZN) to represent their uncertain evaluations. A novel normal cloud model is developed to handle LHZN information effectively. The weights of the experts are determined based on preference similarity score and reliability score, and a group consensus degree is measured to identify the level of consensus among experts. Unreliable behaviors of experts are identified and modified to improve the consensus efficiency. Finally, a regret theory-based selection process is applied to find the optimal alternative considering multiple attributes.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Engineering, Industrial
Haripriya Barman, Magfura Pervin, Sankar Kumar Roy, Gerhard-Wilhelm Weber
Summary: This paper explores a dual-channel green supply chain model by considering dual selling channels, carbon reduction rate, and online delivery lead-time to attract customers to purchase more products and reduce carbon emissions. The study applies carbon tax protocol, green technology, and carbon cap-and-trade protocol in the supply chain to protect the environment. The objective is to maximize supply chain profit by minimizing carbon emissions through a centralized system and two different game strategies.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS & LOGISTICS
(2023)
Article
Engineering, Multidisciplinary
Abhijit Jana, Sankar Kumar Roy
Summary: This paper presents a combined bioeconomic harvesting model that integrates the Holling-Tanner prey-predator competition model with Beddington-DeAngelis functional response and two different delays. The steady state points and their existence in the proposed model are discussed, along with the conditions for local stability and Hopf bifurcation. The study also employs center manifold theory to determine the stability and direction of bifurcating periodic solutions. Numerical simulations and graphical representations are provided to demonstrate the effects of various parameters. The paper concludes with a summary of findings and suggestions for future research.
INTERNATIONAL JOURNAL OF MODELLING AND SIMULATION
(2022)
