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This book offers a comprehensive and systematic review of the latest research findings in the area of intuitionistic fuzzy calculus. After introducing the intuitionistic fuzzy numbers’ operational laws and their geometrical and algebraic properties, the book defines the concept of intuitionistic fuzzy functions and presents the research on the derivative, differential, indefinite integral and definite integral of intuitionistic fuzzy functions. It also discusses some of the methods that have been successfully used to deal with continuous intuitionistic fuzzy information or data, which are different from the previous aggregation operators focusing on discrete information or data. Mainly intended for engineers and researchers in the fields of fuzzy mathematics, operations research, information science and management science, this book is also a valuable textbook for postgraduate and advanced undergraduate students alike.
Engineering. --- Operations research. --- Decision making. --- Mathematical statistics. --- Management science. --- Computational intelligence. --- Computational Intelligence. --- Operations Research, Management Science. --- Operation Research/Decision Theory. --- Probability and Statistics in Computer Science. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Construction --- Industrial arts --- Technology --- Statistical methods --- Decision making --- Computer science. --- Operations Research/Decision Theory. --- Informatics --- Science --- Fuzzy mathematics.
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This book offers a comprehensive and systematic introduction to the latest research on hesitant fuzzy decision-making theory. It includes six parts: the hesitant fuzzy set and its extensions, novel hesitant fuzzy measures, hesitant fuzzy hybrid weighted aggregation operators, hesitant fuzzy multiple-criteria decision-making with incomplete weights, hesitant fuzzy multiple criteria decision-making with complete weights information, and the hesitant fuzzy preference relation based decision-making theory. These methodologies are implemented in various fields such as decision-making, medical diagnosis, cluster analysis, service quality management, e-learning management and environmental management. A valuable resource for engineers, technicians, and researchers in the fields of fuzzy mathematics, operations research, information science, management science and engineering, it can also be used as a textbook for postgraduate and senior undergraduate students.
Computational Intelligence. --- Business. --- Operations research. --- Decision making. --- Operating systems (Computers). --- Computational intelligence. --- Business and Management. --- Operation Research/Decision Theory. --- Operating Systems. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Computer operating systems --- Computers --- Disk operating systems --- Systems software --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Trade --- Economics --- Commerce --- Industrial management --- Operating systems --- Decision making --- Business --- Engineering. --- Operations Research/Decision Theory. --- Construction --- Industrial arts --- Technology --- Operations Research and Decision Theory.
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This book gives a thorough and systematic introduction to the latest research results on hesitant fuzzy and its extensions decision making theory. It includes five chapters: Hesitant Fuzzy Set and its Extensions, Distance Measures for Hesitant Fuzzy Sets and Their Extensions, Similarity Measures for Hesitant Fuzzy Sets and Their Extensions, Entropy Measures for Hesitant Fuzzy Sets and Their Extensions, and Application of Information Measures in Multiple Criteria Decision Making. These methodologies are also implemented in various fields such as decision making, medical diagnosis, cluster analysis, environmental management, etc. This book is suitable for the engineers, technicians, and researchers in the fields of fuzzy mathematics, operations research, information science and management science and engineering, etc. It can also be used as a textbook for postgraduate and senior-year undergraduate students of the relevant professional institutions of higher learning.
Fuzzy sets. --- Fuzzy logic. --- Operations research. --- Business logistics. --- Operations Research/Decision Theory. --- Logistics. --- Supply chain management --- Industrial management --- Logistics --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory
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This book mainly introduces a series of theory and approaches of group decision-making based on several types of uncertain linguistic expressions and addresses their applications. The book pursues three major objectives: (1) to introduce some techniques to model several types of natural linguistic expressions; (2) to handle these expressions in group decision-making; and (3) to clarify the involved approaches by practical applications. The book is especially valuable for readers to understand how linguistic expressions could be employed and operated to make decisions, and motivates researchers to consider more types of natural linguistic expressions in decision analysis under uncertainties.
Decision making. --- Operations research. --- Business logistics. --- Computational linguistics. --- Operations Research/Decision Theory. --- Logistics. --- Computational Linguistics. --- Automatic language processing --- Language and languages --- Language data processing --- Linguistics --- Natural language processing (Linguistics) --- Applied linguistics --- Cross-language information retrieval --- Mathematical linguistics --- Multilingual computing --- Supply chain management --- Industrial management --- Logistics --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Data processing
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This book describes five qualitative investment decision-making methods based on the hesitant fuzzy information. They are: (1) the investment decision-making method based on the asymmetric hesitant fuzzy sigmoid preference relations, (2) the investment decision-making method based on the hesitant fuzzy trade-off and portfolio selection, (3) the investment decision-making method based on the hesitant fuzzy preference envelopment analysis, (4) the investment decision-making method based on the hesitant fuzzy peer-evaluation and strategy fusion, and (5) the investment decision-making method based on the EHVaR measurement and tail analysis.
Engineering. --- Financial engineering. --- Operations research. --- Finance—Mathematics. --- Computational Intelligence. --- Financial Engineering. --- Operations Research/Decision Theory. --- Financial Mathematics. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Computational finance --- Engineering, Financial --- Finance --- Construction --- Industrial arts --- Technology --- Fuzzy decision making. --- Decision making --- Fuzzy mathematics --- Computational intelligence. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Intelligence, Computational --- Artificial intelligence --- Soft computing
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This book mainly introduces the latest development of generalized intuitionistic multiplicative fuzzy calculus and its application. The book pursues three major objectives: (1) to introduce the calculus models with concrete mathematical expressions for generalized intuitionistic multiplicative fuzzy information; (2) to introduce new information fusion methods based on the definite integral models; and (3) to clarify the involved approaches by military case. The book is especially valuable for readers to understand how the theoretical framework of generalized intuitionistic multiplicative fuzzy calculus is constructed, not only discrete or continuous but also correlative (generalized) intuitionistic (multiplicative) fuzzy information is aggregated based on the definite integral models and the theory with a military practice is integrated, which would deepen the understanding and give researchers more inspiration in practical decision analysis under uncertainties.
Fuzzy mathematics. --- Mathematics --- Operations research. --- Decision making. --- Computers. --- Operations Research/Decision Theory. --- Information Systems and Communication Service. --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Decision making
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This book presents the concept of the double hierarchy linguistic term set and its extensions, which can deal with dynamic and complex decision-making problems. With the rapid development of science and technology and the acceleration of information updating, the complexity of decision-making problemshas become increasingly obvious. This book provides a comprehensive and systematic introduction to the latest research in the field, including measurement methods, consistency methods, group consensus and large-scale group consensus decision-making methods, as well as their practical applications. Intended for engineers, technicians, and researchers in the fields of computer linguistics, operations research, information science, management science and engineering, it also serves as a textbook for postgraduate and senior undergraduate university students.
Computational intelligence. --- Computational linguistics. --- Artificial intelligence. --- Computational Intelligence. --- Computational Linguistics. --- Artificial Intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Automatic language processing --- Language and languages --- Language data processing --- Linguistics --- Natural language processing (Linguistics) --- Applied linguistics --- Cross-language information retrieval --- Mathematical linguistics --- Multilingual computing --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Data processing
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Decision making. --- Operations research. --- Econometrics. --- Economics, Mathematical --- Statistics --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Decision making
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Fuzzy sets. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Sets, Fuzzy --- Fuzzy mathematics --- Set theory --- Decision making
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This book mainly introduces some techniques of decision-making, uncertain reasoning and regression analysis under the hesitant fuzzy environment and expands the applications of hesitant fuzzy sets in solving practical problems. The book pursues three major objectives: (1) to introduce some techniques about decision-making, uncertain reasoning and regression analysis under the hesitant fuzzy environment, (2) to prove these techniques theoretically and (3) to apply the involved techniques to practical problems. The book is especially valuable for readers to understand how hesitant fuzzy set could be employed in decision-making, uncertain reasoning and regression analysis and motivates researchers to expand more application fields of hesitant fuzzy set.
Fuzzy decision making. --- Decision making --- Fuzzy mathematics --- Operations research. --- Financial risk management. --- Computer science. --- Operations Research and Decision Theory. --- Risk Management. --- Computer Science. --- Informatics --- Science --- Risk management --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory