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Fuzzy Methods for Assessment and Decision Making
Assessment is a very important component of human activities because it helps in determining possible mistakes and in improving performance by preventing the repeat of such mistakes in future. Fuzzy Methods for Assessment and Decision Making presents the assessment of learning and problem-solving skills with qualitative grades. These methods are outcomes of the author’s research work on the subject for more than 20 years. In particular, a hybrid assessment model is developed using the Center of Gravity (COG) defuzzification technique, closed real intervals (grey numbers), neutrosophic sets and soft sets as tools. The book starts with the basic mathematical background which is needed for th...
Finite Markov Chain and Fuzzy Logic Assessment Models
The theory of Markov Chains, being a smart combination of Linear Algebra and Probability Theory, offers ideal conditions for the study and mathematical modelling of a certain kind of phenomena depending upon random variables. Fuzzy logic on the other hand, due to its property of characterizing the uncertain real life situations with multiple values, provides a rich and meaningful addition to the standard logic that opens the door for modelling under conditions which are imprecisely defined. Finite Markov Chain and Fuzzy Logic models are developed in this book for assessing several human (e.g. learning, problem solving, reasoning, decision making, player performance, etc.) and machine (e.g. computer systems) activities.
Multi Valued Logics: A Review
The present work, starting from the fuzzy sets theory introduced by Zadeh in 1965, reviews its generalizations and other relevant theories developed during the last 50 years. Those theories gave genesis to multi-valued logics, which help to treat better the uncertain or vague situations that frequently appear in problems of every day life, science and technology. Therefore they need not be seen as competitive, but as complementary to the traditional bi-valued logic of Aristotle. The article offers the basic framework to those wanting to study further the multi-valued logics that have found recently many and important applications to almost all sectors of the human activity.
Data-Driven Modelling with Fuzzy Sets
Zadeh introduced in 1965 the theory of fuzzy sets, in which truth values are modelled by numbers in the unit interval [0, 1], for tackling mathematically the frequently appearing in everyday life partial truths. In a second stage, when membership functions were reinterpreted as possibility distributions, fuzzy sets were extensively used to embrace uncertainty modelling. Uncertainty is defined as the shortage of precise knowledge or complete information and possibility theory is devoted to the handling of incomplete information. Zadeh articulated the relationship between possibility and probability, noticing that what is probable must preliminarily be possible. Following the Zadeh’s fuzzy s...
An Essential Guide to Fuzzy Systems
The recent development of the fuzzy set theory has given scientists the opportunity to model under conditions which are vague or not precisely defined, thus succeeding to solve mathematically problems whose statements are expressed in our natural language. Since Zadeh introduced the concept of fuzzy set in 1965, many efforts have been made by specialists for improving its effectiveness to deal with uncertain, ambiguous and vague situations. As a result a series of extensions and generalizations of the ordinary fuzzy set followed and several theories have been proposed as alternatives to the fuzzy set theory. The spectre of applications of those theories has been rapidly expanded during the l...
Fuzzy Sets, Fuzzy Logic and Their Applications
The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; ...
Data-Driven Modelling with Fuzzy Sets
Fuzzy sets have long been employed to handle imprecise and uncertain information in the real world, but their limitations in dealing with incomplete and inconsistent data led to the emergence of neutrosophic sets. In this thought-provoking book, titled Data-Driven Modelling with Fuzzy Sets: A Neutrosophic Perspective, the authors delve into the theories and extensive applications of neutrosophic sets, ranging from neutrosophic graphs to single-valued trapezoidal neutrosophic sets and their practical implications in knowledge management, including student learning assessment, academic performance evaluation, and technical article screening. This comprehensive resource is intended to benefit m...
Fuzzy Sets, Fuzzy Logic and Their Applications 2021
The present reprint contains the 13 articles that were accepted and published in the Special Issue "Fuzzy Sets, Fuzzy Logic and Their Applications, 2021" of the MDPI "Mathematics" journal, which cover a wide range of topics connected to the theory and applications of fuzzy sets and systems, of fuzzy logic and of their extensions/generalizations. The reprint is the third volume of a successful series which started with the Special Issue "Fuzzy Sets, Fuzzy Logic and Their Applications" (2019, 20 papers) and was followed by "Fuzzy Sets, Fuzzy Logic and Their Applications, 2020" (24 papers).
BV2TrS Appraiser Model: Enforcing BHARAT Version2 in Tree Soft Modelling for Appraising E-Mobility Hurdles
Electric vehicles (EVs) are being introduced to lessen greenhouse gas (GHG) emissions, air pollution, and reliance on fossil fuels. As a result of the government's aggressive promotion of EVs and rising environmental consciousness, EVs are quickly rising to the top of the low-carbon transportation market. Several viewpoints suggested that shifting to electric vehicles has been seen as a potential way to achieve sustainable mobility. Nevertheless, many studies discussed the obstacles and hurdles that obstruct the embracing of various electric-mobility (E-mobility) as EVs and electric-scooters (E-scooters) as eco-friendly means. Herein, we discussed these hurdles and determined them through su...
