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Recently, considerable attention has been placed on the development and application of tools useful for the analysis of the high-dimensional and/or high-frequency datasets that now dominate the landscape. The purpose of this Special Issue is to collect both methodological and empirical papers that develop and utilize state-of-the-art econometric techniques for the analysis of such data.

level, slope, and curvature of the yield curve --- Nelson-Siegel factors --- supervised factor models --- combining forecasts --- principal components --- Minimum variance portfolio --- risk --- shrinkage --- S&amp --- P 500 --- high-frequency --- volatility --- forecasting --- realized measures --- bivariate GARCH --- Japanese candlestick --- ordered fuzzy number --- Kosiński’s number --- oriented fuzzy number --- dynamic analysis of securities --- integrated volatility --- high-frequency data --- jumps --- realized skewness --- cross-sectional stock returns --- signed jump variation --- long-range dependence --- log periodogram regression --- smoothed periodogram --- subsampling --- intraday returns --- portfolio selection --- maximum diversification --- regularization

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The present book contains the 24 total articles accepted and published in the Special Issue “Fuzzy Sets, Fuzzy Logic and Their Applications, 2020” of the MDPI Mathematics journal, which covers a wide range of topics connected to the theory and applications of fuzzy sets and systems of fuzzy logic and their extensions/generalizations. These topics include, among others, elements from fuzzy graphs; fuzzy numbers; fuzzy equations; fuzzy linear spaces; intuitionistic fuzzy sets; soft sets; type-2 fuzzy sets, bipolar fuzzy sets, plithogenic sets, fuzzy decision making, fuzzy governance, fuzzy models in mathematics of finance, a philosophical treatise on the connection of the scientific reasoning with fuzzy logic, etc. It is hoped that the book will be interesting and useful for those working in the area of fuzzy sets, fuzzy systems and fuzzy logic, as well as for those with the proper mathematical background and willing to become familiar with recent advances in fuzzy mathematics, which has become prevalent in almost all sectors of the human life and activity.

Research & information: general --- Mathematics & science --- bipolar gradation of openness --- bipolar gradation of closedness --- bipolar fuzzy topology --- bipolar gradation preserving map --- fuzzy collaborative forecasting --- dynamic random access memory --- partial consensus --- fuzzy intersection --- fuzzy linear system --- fuzzy number --- fuzzy number vector --- embedding method --- inductive and deductive reasoning --- fuzzy logic (FL) --- scientific method --- probability and statistics --- Bayesian probabilities --- fuzzy implication --- ordering property --- least fuzzy negation --- t-conditionality --- neutrosophic set --- plithogenic set --- fuzzy set --- entropy --- similarity measure --- information measure --- Hyers-Ulam stability --- pexider type functional equation --- intuitionistic fuzzy normed spaces --- alternative fixed point theorem --- interval-valued fuzzy competition graph --- interval-valued fuzzy p competition graph --- interval-valued fuzzy neighbourhood graph --- interval-valued m-step fuzzy competition graph --- homomorphism of graph products --- max-min algebra --- fuzzy max-T algebra --- Łukasiewicz triangular norm --- max-Łukasiewicz algebra --- parametric solvability --- soft set --- fuzzy soft set --- multi-fuzzy set --- multi-fuzzy soft set --- ℒℳℱ?? --- similarity measure of ℒℳℱ?? --- site selection --- shopping mall site selection --- linguistic terms for fuzzy variable --- fuzzy AHP --- fuzzy TOPSIS --- octahedron set --- i-octahedron subgroupoid --- i-octahedron ideal --- i-sup-property, i-octahedron subgroup --- i-octahedron subring --- interval matrix --- interval eigenvector --- strong interval eigenvector --- fuzzy nonlinear systems --- fuzzy arithmetic --- fuzzy calculus --- multidimensional fuzzy arithmetic --- RDM fuzzy arithmetic --- fuzzy parametric form --- fuzzy measures --- monotone measures --- product spaces --- Schauder fixed point theorem --- fuzzy normed linear space --- t-norm --- measure of non-compactness --- fuzzy logic connectives --- law of importation --- α-migrativity --- distance measure --- fuzzy differential equations --- fuzzy difference equations --- mixed continuous-discrete model --- strongly generalized Hukuhara differentiability --- time value of money --- GEFS --- SEFS --- fuzzy relations: fuzzy sets --- max–min composition --- min–max composition --- monotone statistical parameters --- fuzzy statistics --- FAHP --- FTOPSIS --- FCOPRAS --- hexagonal fuzzy number --- governance --- fuzzy logic --- management system --- type-2 fuzzy set --- fuzzification --- type-reduction --- defuzzification --- B-spline surface model function --- bipolar gradation of openness --- bipolar gradation of closedness --- bipolar fuzzy topology --- bipolar gradation preserving map --- fuzzy collaborative forecasting --- dynamic random access memory --- partial consensus --- fuzzy intersection --- fuzzy linear system --- fuzzy number --- fuzzy number vector --- embedding method --- inductive and deductive reasoning --- fuzzy logic (FL) --- scientific method --- probability and statistics --- Bayesian probabilities --- fuzzy implication --- ordering property --- least fuzzy negation --- t-conditionality --- neutrosophic set --- plithogenic set --- fuzzy set --- entropy --- similarity measure --- information measure --- Hyers-Ulam stability --- pexider type functional equation --- intuitionistic fuzzy normed spaces --- alternative fixed point theorem --- interval-valued fuzzy competition graph --- interval-valued fuzzy p competition graph --- interval-valued fuzzy neighbourhood graph --- interval-valued m-step fuzzy competition graph --- homomorphism of graph products --- max-min algebra --- fuzzy max-T algebra --- Łukasiewicz triangular norm --- max-Łukasiewicz algebra --- parametric solvability --- soft set --- fuzzy soft set --- multi-fuzzy set --- multi-fuzzy soft set --- ℒℳℱ?? --- similarity measure of ℒℳℱ?? --- site selection --- shopping mall site selection --- linguistic terms for fuzzy variable --- fuzzy AHP --- fuzzy TOPSIS --- octahedron set --- i-octahedron subgroupoid --- i-octahedron ideal --- i-sup-property, i-octahedron subgroup --- i-octahedron subring --- interval matrix --- interval eigenvector --- strong interval eigenvector --- fuzzy nonlinear systems --- fuzzy arithmetic --- fuzzy calculus --- multidimensional fuzzy arithmetic --- RDM fuzzy arithmetic --- fuzzy parametric form --- fuzzy measures --- monotone measures --- product spaces --- Schauder fixed point theorem --- fuzzy normed linear space --- t-norm --- measure of non-compactness --- fuzzy logic connectives --- law of importation --- α-migrativity --- distance measure --- fuzzy differential equations --- fuzzy difference equations --- mixed continuous-discrete model --- strongly generalized Hukuhara differentiability --- time value of money --- GEFS --- SEFS --- fuzzy relations: fuzzy sets --- max–min composition --- min–max composition --- monotone statistical parameters --- fuzzy statistics --- FAHP --- FTOPSIS --- FCOPRAS --- hexagonal fuzzy number --- governance --- fuzzy logic --- management system --- type-2 fuzzy set --- fuzzification --- type-reduction --- defuzzification --- B-spline surface model function

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This Special Issue collects original research articles discussing cutting-edge work as well as perspectives on future directions in the whole range of theoretical and practical aspects in these research areas: i) Theory of fuzzy systems and soft computing; ii) Learning procedures; iii) Decision-making applications employing fuzzy logic and soft computing.

Research & information: general --- Mathematics & science --- fuzzy partition --- fuzzy transform --- new iterative method --- Cauchy problems --- ANFIS --- basmati rice --- image processing --- grading --- quality assessment --- fuzzy inference system --- causality --- statistics --- concept-mapping --- causal graph --- numerical methods --- systems of ordinary differential equations --- NIM --- fuzzy logics --- linear motion blur --- fuzzy deblurring --- electron beam calibration --- signal and image processing --- propagation modeling --- adaptive-network-based fuzzy system --- LoRa &amp --- LoRaWAN --- radio wave propagation --- artificial neural networks --- subtracting clustering --- dual double fuzzy semi-metric --- double fuzzy semi-metric --- fuzzy semi-metric space --- triangle inequality --- triangular norm --- eye gaze tracking --- interval type-2 fuzzy logic --- vision system --- mobile robots --- intelligent control --- ordered fuzzy number --- fuzzy relation --- preorder --- strict order --- equivalence relation --- variable neighborhood search --- experimental comparison --- statistical analysis --- traveling salesman problem --- soft computing --- modeling --- vector optimization --- methods of solution of vector problems --- optimal decision-making --- numerical realization of decision-making --- n/a

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The book comprises a selection of papers addressing some of the most relevant challenges and opportunities for addressing SDGs from many different perspectives. Papers in this collection cover the most recent lines and approaches of research in addressing SDGs and are all novel propositions that deepen the analysis of environmental, social and governance strategies in the adaptation of the society to meet the 17 SDGs.

Development economics & emerging economies --- ecological footprint --- environmental performance of SMEs --- 2030 Agenda --- sustainable development goals (SDGs) --- systemic sustainability analysis --- SDG targets prioritization --- sustainability --- project management --- scheduling --- public infrastructures --- Z-fuzzy number --- sustainable development goals --- facilitating factors --- implementation --- regional and local planning --- Norway --- capability assessment --- business incubator --- maturity model --- Thailand --- agro-food business --- small and medium enterprise (SME) --- Food and Agriculture Organization (FAO) --- Agenda 2030 --- regime analysis --- United Nations Sustainable Development Goals --- ecosystem services --- forest --- forestry --- management practices --- European Green Deal --- sustainable development --- financing --- impact fund --- sustainable urban drainage systems --- green infrastructures --- stormwater green infrastructure --- Mediterranean climate --- arid climate --- template climate --- Spain --- hazardous waste shipment --- network analysis --- gross domestic product per capita --- disposal --- proximity principle --- self-sufficiency principle --- complex systems --- industrial ecology --- urban-industrial symbiosis --- urban-industrial systems --- urban metabolism --- ecosystem service --- observational scale --- trade-off --- hot/cold-spot --- Ussuri watershed --- country risk --- developing economies --- governance --- institutional quality --- low-income countries --- SDGs --- community empowerment --- energy transition --- rural depopulation --- Sustainable Development Goals (SDGs) --- ecological footprint --- environmental performance of SMEs --- 2030 Agenda --- sustainable development goals (SDGs) --- systemic sustainability analysis --- SDG targets prioritization --- sustainability --- project management --- scheduling --- public infrastructures --- Z-fuzzy number --- sustainable development goals --- facilitating factors --- implementation --- regional and local planning --- Norway --- capability assessment --- business incubator --- maturity model --- Thailand --- agro-food business --- small and medium enterprise (SME) --- Food and Agriculture Organization (FAO) --- Agenda 2030 --- regime analysis --- United Nations Sustainable Development Goals --- ecosystem services --- forest --- forestry --- management practices --- European Green Deal --- sustainable development --- financing --- impact fund --- sustainable urban drainage systems --- green infrastructures --- stormwater green infrastructure --- Mediterranean climate --- arid climate --- template climate --- Spain --- hazardous waste shipment --- network analysis --- gross domestic product per capita --- disposal --- proximity principle --- self-sufficiency principle --- complex systems --- industrial ecology --- urban-industrial symbiosis --- urban-industrial systems --- urban metabolism --- ecosystem service --- observational scale --- trade-off --- hot/cold-spot --- Ussuri watershed --- country risk --- developing economies --- governance --- institutional quality --- low-income countries --- SDGs --- community empowerment --- energy transition --- rural depopulation --- Sustainable Development Goals (SDGs)

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This book collects fifteen papers published in s Special Issue of Mathematics titled “Fuzzy Sets in Business Management, Finance, and Economics”, which was published in 2021. These paper cover a wide range of different tools from Fuzzy Set Theory and applications in many areas of Business Management and other connected fields. Specifically, this book contains applications of such instruments as, among others, Fuzzy Set Qualitative Comparative Analysis, Neuro-Fuzzy Methods, the Forgotten Effects Algorithm, Expertons Theory, Fuzzy Markov Chains, Fuzzy Arithmetic, Decision Making with OWA Operators and Pythagorean Aggregation Operators, Fuzzy Pattern Recognition, and Intuitionistic Fuzzy Sets. The papers in this book tackle a wide variety of problems in areas such as strategic management, sustainable decisions by firms and public organisms, tourism management, accounting and auditing, macroeconomic modelling, the evaluation of public organizations and universities, and actuarial modelling. We hope that this book will be useful not only for business managers, public decision-makers, and researchers in the specific fields of business management, finance, and economics but also in the broader areas of soft mathematics in social sciences. Practitioners will find methods and ideas that could be fruitful in current management issues. Scholars will find novel developments that may inspire further applications in the social sciences.

Research & information: general --- Mathematics & science --- Bonferroni means --- prioritized aggregation operators --- induced aggregation operators --- OWA operator --- transparency --- fuzzy sets --- fuzzy numbers --- linguistic variables --- fuzzy data analysis --- correlation between fuzzy variables --- poverty policy --- efficiency --- Debreu–Farrell productivity index --- cryptocurrencies --- bitcoin --- blockchain --- fintech --- unified theory of acceptance and use of technology --- intention to use --- fuzzy set qualitative comparative analysis --- bonus-malus system --- fuzzy number --- fuzzy transition probability --- fuzzy Markov chain --- fuzzy stationary state --- SDGs --- The Quintuple Helix of Innovation Model --- sustainability --- Latin America --- knowledge systems --- Forgotten Effects Theory --- Fuzzy Logic --- tourist destination competitiveness --- experton theory --- forgotten effects theory --- Hamming distance --- decision making --- expert group --- neuro-fuzzy assessment --- evaluation of specialists --- smart city --- assessment risk --- smart transport --- mobility --- transparent selection --- public financial resources --- recovery plan --- selection of quality methods --- manufacturing process --- intuitionistic fuzzy sets --- genetic algorithm --- adoption of environmental practices --- human resource costs --- organizational learning capability --- information technology support --- size --- education level --- experience --- university ranking --- unsupervised pattern recognition --- clustering techniques --- corruption perception --- corruption normalization --- gender --- entrepreneurial intention --- STEM --- family entrepreneurial background --- fsQCA --- household income --- pythagorean membership --- financial knowledge --- decision-making --- fuzzy logic --- fuzzy arithmetic --- extension principle --- economic models --- Harrod’s growth --- enhancement strategy --- brand attachment --- convenience stores --- fuzzy quality function deployment --- audit team leader --- audit risk assessment --- small- and medium-sized audit firms --- planification --- fuzzy theory --- Bonferroni means --- prioritized aggregation operators --- induced aggregation operators --- OWA operator --- transparency --- fuzzy sets --- fuzzy numbers --- linguistic variables --- fuzzy data analysis --- correlation between fuzzy variables --- poverty policy --- efficiency --- Debreu–Farrell productivity index --- cryptocurrencies --- bitcoin --- blockchain --- fintech --- unified theory of acceptance and use of technology --- intention to use --- fuzzy set qualitative comparative analysis --- bonus-malus system --- fuzzy number --- fuzzy transition probability --- fuzzy Markov chain --- fuzzy stationary state --- SDGs --- The Quintuple Helix of Innovation Model --- sustainability --- Latin America --- knowledge systems --- Forgotten Effects Theory --- Fuzzy Logic --- tourist destination competitiveness --- experton theory --- forgotten effects theory --- Hamming distance --- decision making --- expert group --- neuro-fuzzy assessment --- evaluation of specialists --- smart city --- assessment risk --- smart transport --- mobility --- transparent selection --- public financial resources --- recovery plan --- selection of quality methods --- manufacturing process --- intuitionistic fuzzy sets --- genetic algorithm --- adoption of environmental practices --- human resource costs --- organizational learning capability --- information technology support --- size --- education level --- experience --- university ranking --- unsupervised pattern recognition --- clustering techniques --- corruption perception --- corruption normalization --- gender --- entrepreneurial intention --- STEM --- family entrepreneurial background --- fsQCA --- household income --- pythagorean membership --- financial knowledge --- decision-making --- fuzzy logic --- fuzzy arithmetic --- extension principle --- economic models --- Harrod’s growth --- enhancement strategy --- brand attachment --- convenience stores --- fuzzy quality function deployment --- audit team leader --- audit risk assessment --- small- and medium-sized audit firms --- planification --- fuzzy theory