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New Trends in Fuzzy Set Theory and Related Items

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ISBN: 9783038971238 9783038971245 Year: Pages: 184 DOI: 10.3390/books978-3-03897-124-5 Language: englisch
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Mathematics
Added to DOAB on : 2018-09-04 12:29:08
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Since the launch, in 1965, of the key notion of a fuzzy subset by Lotfi A. Zadeh, this concept has succeeded in growing interest and development. Nowadays, it is undoubtedly one of the most powerful and appealing branches of mathematics. Its range of applications is wide and multidisciplinary, starting from computer sciences and artificial intelligence, but also touching on a vast set of scientific disciplines (physics, engineering, medicine, economics, social choice, etc.).The present Special Issue is devoted to introducing new trends on this theory, from an interdisciplinary point of view, and looking for a wide coverage of topics related to fuzzy set and systems.

Fuzzy Techniques for Decision Making

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ISBN: 9783038428879 9783038428886 Year: Pages: VI, 404 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics
Added to DOAB on : 2018-05-18 13:55:26
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This book contains the successful invited submissions to a Special Issue of Symmetry in the subject area of “Fuzzy Techniques for Decision Making”. We invited contributions addressing novel techniques and tools for decision making (e.g., group or multi-criteria decision making) with notions that overcome the problem of finding the membership degree of each element as in Zadeh's original model. We could garner interesting articles on a variety of setups as well as applications. As a result, this book includes some novel techniques and tools for decision making, such as instrumental tools for analysis (correlation coefficients, similarity measures, aggregation operators) in various settings and novel methodological contributions (discrete optimization with fuzzy constraints, COMET, or fuzzy bi-matrix games) and applications (to project delivery systems, maintenance performance in industry, group emergencies, pedestrians flows, valuation of assets, water pollution control, or aquaculture enterprise sustainability). The published submissions cover models like fuzzy soft sets, hesitant fuzzy sets, (fuzzy) soft rough sets, neutrosophic sets, as well as other hybrid models.

Fuzzy Mathematics

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ISBN: 9783038973225 9783038973232 Year: Pages: 286 DOI: 10.3390/books978-3-03897-323-2 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Physics (General) --- Mathematics
Added to DOAB on : 2018-11-28 11:26:53
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This book provides a timely overview of topics in fuzzy mathematics. It lays the foundation for further research and applications in a broad range of areas. It contains break-through analysis on how results from the many variations and extensions of fuzzy set theory can be obtained from known results of traditional fuzzy set theory. The book contains not only theoretical results, but a wide range of applications in areas such as decision analysis, optimal allocation in possibilistics and mixed models, pattern classification, credibility measures, algorithms for modeling uncertain data, and numerical methods for solving fuzzy linear systems.The book offers an excellent reference for advanced undergraduate and graduate students in applied and theoretical fuzzy mathematics. Researchers and referees in fuzzy set theory will find the book to be of extreme value.

Multiple-Criteria Decision-Making (MCDM) Techniques for Business Processes Information Management

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ISBN: 9783038976424 Year: Pages: 320 DOI: 10.3390/books978-3-03897-643-1 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-03-08 11:42:05
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Information management is a common paradigm in modern decision-making. A wide range of decision-making techniques have been proposed in the literature to model complex business and engineering processes. In this Special Issue, 16 selected and peer-reviewed original research articles contribute to business information management in various current real-world problems by proposing crisp or uncertain multiple-criteria decision-making (MCDM) models and techniques, mostly including multi-attribute decision-making (MADM) approaches, in addition to a single paper proposing an interactive multi-objective decision-making (MODM) approach. Particular attention is devoted to information aggregation operators; 65% of papers dealt with this item. The topics of this Special Issue gained attention in Europe and Asia. A total of 48 authors from seven countries contributed to this Issue. The papers are mainly concentrated in three application areas: supplier selection and rational order allocation, the evaluation and selection of goods or facilities, and personnel selection/partner selection. A number of new approaches are proposed that are expected to attract great interest from the research community.

Keywords

multi-criteria decision-making --- group decision-making --- subcontractor evaluation --- MCDM --- MADM --- fuzzy sets --- fuzzy EDAS --- multi-attribute decision making --- projection model --- bi-directional projection model --- Pythagorean uncertain linguistic variable --- rough number --- rough weighted aggregated sum product assessment (WASPAS) --- rough analytical hierarchical process (AHP) --- multiple criteria decision making (MCDM) --- supplier --- supplier selection --- order allocation --- multiobjective optimization --- interactive approach --- desirability function --- Pythagorean fuzzy set --- Muirhead mean --- multiple criteria group decision-making --- multiple attributes decision-making --- group decision-making --- unbalanced linguistic set --- prioritized average operator --- maximizing deviation model --- Pythagorean fuzzy set --- Muirhead mean --- interaction operational laws --- multi-attribute group decision-making --- green supplier --- rough ANP --- trapezoidal fuzzy number --- rough boundary interval --- evidence theory --- trust interval --- multiple attribute decision making --- linguistic cubic variable --- Dombi operations --- linguistic cubic variable Dombi weighted arithmetic average (LCVDWAA) operator --- linguistic cubic variable Dombi weighted geometric average (LCVDWGA) operator --- single-valued linguistic neutrosophic interval linguistic number --- score function --- weighted aggregation operator --- decision making --- multiple attribute decision making --- nonnegative normal neutrosophic number --- aggregation operator --- multi-criteria decision-making --- multi-hesitant fuzzy sets --- aggregation operators --- hesitant probabilistic fuzzy element (HPFE) --- Einstein operations --- hesitant probabilistic fuzzy Einstein aggregation operators --- multiple attribute decision making (MADM). --- ANFIS --- warehouse --- queuing systems --- logistics --- uncertain group decision-making support systems --- multiple criteria decision-making --- reliable group decision-making --- interval multiplicative preference relations --- rough sets --- binary discernibility matrices --- deterministic finite automata --- multiple-criteria decision-making (MCDM) --- multi-attribute decision-making (MADM) --- fuzzy sets --- neutrosophic sets --- rough sets --- aggregation operators --- adaptive neuro-fuzzy inference system (ANFIS)

Civil Engineering and Symmetry

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ISBN: 9783039210022 / 9783039210039 Year: Pages: 198 DOI: 10.3390/books978-3-03921-003-9 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-06-26 08:44:06
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A topic of utmost importance in civil engineering is finding optimal solutions throughout the life cycle of buildings and infrastructural objects, including their design, manufacturing, use, and maintenance. Operational research, management science, and optimization methods provide a consistent and applicable groundwork for engineering decision-making. These topics have received the interest of researchers and, after a rigorous peer-review process, eight papers have been published in this Special Issue. The articles in this Printed Edition demonstrate how solutions in civil engineering, which bring economic, social, and environmental benefits, are obtained through a variety of methodologies and tools. Usually, decision-makers need to take into account not just a single criterion, but several different criteria and, therefore, multi-criteria decision-making (MCDM) approaches have been suggested for application in five of the published papers; the rest of the papers apply other research methods. Most approaches suggested decision models under uncertainty, proposing hybrid MCDM methods in combination with fuzzy or rough set theory, as well as D-numbers. The application areas of the proposed MCDM techniques mainly cover production/manufacturing engineering, logistics and transportation, and construction engineering and management. We hope that a summary of the Special Issue as provided here will encourage a detailed analysis of the papers included in the Printed Edition.

Solution Models based on Symmetric and Asymmetric Information

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ISBN: 9783039210060 / 9783039210077 Year: Pages: 202 DOI: 10.3390/books978-3-03921-007-7 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-06-26 08:44:06
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This Special Issue covers symmetry and asymmetry phenomena occurring in real-life problems. We invited authors to submit their theoretical or experimental research presenting engineering and economic problem solution models dealing with the symmetry or asymmetry of different types of information. The issue gained interest in the research community and received many submissions. After rigorous scientific evaluation by editors and reviewers, nine papers were accepted and published. The authors proposed different MADM and MODM solution models as integrated tools to find a balance between the components of sustainable global development, to find a symmetry axis concerning goals, risks, and constraints to cope with the complicated problems. Most approaches suggested decision models under uncertainty, combining the usual decision-making methods with interval-valued fuzzy or rough sets theory, also Z numbers. The application fields of the proposed models involved both problems of technological sciences and social sciences. The papers cover three essential areas: engineering, economy, and management. We hope that a summary of the Special Issue as provided here will encourage a detailed analysis of the papers included in the Printed Edition.

Keywords

multi-criteria decision-making (MCDM) --- group decision-making --- interval type-2 fuzzy set (IT2FS) --- subjective weights --- criteria weights --- Step-wise Weight Assessment Ratio Analysis (SWARA) --- multiple attribute decision making (MADM) --- neutrosophic numbers --- 2-tuple linguistic neutrosophic numbers set (2TLNNSs) --- Bonferroni mean (BM) operator --- generalized Bonferroni mean (GBM) operator --- dual generalized Bonferroni mean (DGBM) operator --- dual generalized geometric Bonferroni mean (DGGBM) operator --- green supplier selection --- green supply chain management --- Pythagorean fuzzy set --- normal cloud --- MCGDM --- backward cloud transformation --- MCDM --- the criteria of the weights --- Bayes’ theorem --- combining the weights --- symmetry of the method --- IDOCRIW --- FAHP --- evaluating the quality of distant courses --- optimal dividend --- capital injection --- salvage value --- transaction cost --- excess-of-loss reinsurance --- thrust --- data logger --- sensor --- quadcopter --- measurement --- control system --- stability --- data envelopment analysis --- Z-numbers --- full fuzzy environment --- fuzzy efficiency --- rough ARAS --- transport --- performance --- logistics --- MCDM --- probabilistic systems analysis --- nonlinear dynamics --- public management --- pattern formation --- resources distribution --- population sizes --- information theory --- oscillations --- hybrid problem solution models --- multiple-criteria decision-making (MCDM) --- hybrid MCDM --- criteria weight assessment --- fuzzy sets --- rough sets --- Z-numbers --- neutrosophic numbers --- Bonferroni mean (BM) operator --- engineering problems --- economic decisions

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