Optimal Models and Methods with Fuzzy Quantities

Optimal Models and Methods with Fuzzy Quantities PDF

Author: Bing-Yuan Cao

Publisher: Springer

Published: 2010-11-30

Total Pages: 350

ISBN-13: 9783642107146

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This book studies optimized models with fuzzy quantities. It can be used by undergraduates in higher education, master graduates and doctor graduates. It also serves as a reference for researchers, particularly for those in the field of soft science.

Optimal Models and Methods with Fuzzy Quantities

Optimal Models and Methods with Fuzzy Quantities PDF

Author: Bing-Yuan Cao

Publisher: Springer Science & Business Media

Published: 2010-02

Total Pages: 383

ISBN-13: 3642107109

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The book contains ten chapters as follows, Prepare Knowledge, Regression and Self-regression Models with Fuzzy Coefficients; Regression and Self-regression Models with Fuzzy Variables, Fuzzy Input/output Model, Fuzzy Cluster Analysis and Fuzzy Recognition, Fuzzy Linear Programming, Fuzzy Geometric Programming, Fuzzy Relative Equation and Its Optimizing, Interval and Fuzzy Differential Equations and Interval and Fuzzy Functional and Their Variation. It can not only be used as teaching materials or reference books for under-graduates in higher education, master graduates and doctor graduates in the courses of applied mathematics, computer science, artificial intelligence, fuzzy information process and automation, operations research, system science and engineering, and the like, but also serves as a reference book for researchers in these fields, particularly, for researchers in soft science.

Optimization Models Using Fuzzy Sets and Possibility Theory

Optimization Models Using Fuzzy Sets and Possibility Theory PDF

Author: J. Kacprzyk

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 465

ISBN-13: 9400938691

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Optimization is of central concern to a number of discip lines. Operations Research and Decision Theory are often consi dered to be identical with optimizationo But also in other areas such as engineering design, regional policy, logistics and many others, the search for optimal solutions is one of the prime goals. The methods and models which have been used over the last decades in these areas have primarily been "hard" or "crisp", i. e. the solutions were considered to be either fea sible or unfeasible, either above a certain aspiration level or below. This dichotomous structure of methods very often forced the modeller to approximate real problem situations of the more-or-less type by yes-or-no-type models, the solutions of which might turn out not to be the solutions to the real prob lems. This is particularly true if the problem under considera tion includes vaguely defined relationships, human evaluations, uncertainty due to inconsistent or incomplete evidence, if na tural language has to be modelled or if state variables can only be described approximately. Until recently, everything which was not known with cer tainty, i. e. which was not known to be either true or false or which was not known to either happen with certainty or to be impossible to occur, was modelled by means of probabilitieso This holds in particular for uncertainties concerning the oc currence of events.

Fuzzy Optimization

Fuzzy Optimization PDF

Author: Weldon A. Lodwick

Publisher: Springer Science & Business Media

Published: 2010-07-12

Total Pages: 535

ISBN-13: 3642139345

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This potent area of technology allows us to formulate and solve a multitude of problems. Written by leading experts, this overview covers a number of aspects of fuzzy optimization, some related general issues, and various applications of this powerful tool.

Stability Analysis and Nonlinear Observer Design using Takagi-Sugeno Fuzzy Models

Stability Analysis and Nonlinear Observer Design using Takagi-Sugeno Fuzzy Models PDF

Author: Zsófia Lendek

Publisher: Springer

Published: 2010-11-26

Total Pages: 204

ISBN-13: 3642167764

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Many problems in decision making, monitoring, fault detection, and control require the knowledge of state variables and time-varying parameters that are not directly measured by sensors. In such situations, observers, or estimators, can be employed that use the measured input and output signals along with a dynamic model of the system in order to estimate the unknown states or parameters. An essential requirement in designing an observer is to guarantee the convergence of the estimates to the true values or at least to a small neighborhood around the true values. However, for nonlinear, large-scale, or time-varying systems, the design and tuning of an observer is generally complicated and involves large computational costs. This book provides a range of methods and tools to design observers for nonlinear systems represented by a special type of a dynamic nonlinear model -- the Takagi--Sugeno (TS) fuzzy model. The TS model is a convex combination of affine linear models, which facilitates its stability analysis and observer design by using effective algorithms based on Lyapunov functions and linear matrix inequalities. Takagi--Sugeno models are known to be universal approximators and, in addition, a broad class of nonlinear systems can be exactly represented as a TS system. Three particular structures of large-scale TS models are considered: cascaded systems, distributed systems, and systems affected by unknown disturbances. The reader will find in-depth theoretic analysis accompanied by illustrative examples and simulations of real-world systems. Stability analysis of TS fuzzy systems is addressed in detail. The intended audience are graduate students and researchers both from academia and industry. For newcomers to the field, the book provides a concise introduction dynamic TS fuzzy models along with two methods to construct TS models for a given nonlinear system

Fuzzy Information & Engineering and Operations Research & Management

Fuzzy Information & Engineering and Operations Research & Management PDF

Author: Bing-Yuan Cao

Publisher: Springer Science & Business Media

Published: 2013-11-26

Total Pages: 558

ISBN-13: 3642386679

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Fuzzy Information & Engineering and Operations Research & Management is the monograph from submissions by the 6th International Conference on Fuzzy Information and Engineering (ICFIE2012, Iran) and by the 6th academic conference from Fuzzy Information Engineering Branch of Operation Research Society of China (FIEBORSC2012, Shenzhen,China). It is published by Advances in Intelligent and Soft Computing (AISC). We have received more than 300 submissions. Each paper of it has undergone a rigorous review process. Only high-quality papers are included in it containing papers as follows: I Programming and Optimization. II Lattice and Measures. III Algebras and Equation. IV Forecasting, Clustering and Recognition. V Systems and Algorithm. VI Graph and Network. VII Others.

Fuzzy Information and Engineering and Decision

Fuzzy Information and Engineering and Decision PDF

Author: Bing-Yuan Cao

Publisher: Springer

Published: 2017-09-15

Total Pages: 458

ISBN-13: 3319665146

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This book introduces applications of mathematics and fuzzy mathematics in decision science, fuzzy geometric programming and fuzzy optimization as well as operations research and management, based on 44 research papers presented at three successful conferences: (1) The International Conference on Mathematics and Decision Science (ICMDS), September 12–15, 2016, Guangzhou University, Guangzhou, China (www.icodm2020.com). (2) Academic Conference on 30th Anniversary of Fuzzy Geometric Programming Advanced by Professor Cao Bingyuan and his 40 education years (ACFGPACE), July 30 to August 1, 2016, Guangzhou University, Guangzhou, China. (3) The third annual meeting of Guangdong Operational Research Society (TAMGORS), October 22–23, 2016, Foshan University, Guangdong, China. The book is a valuable resource for students, graduates, teachers and other professionals in the field of applied mathematics, artificial intelligence and computers, fuzzy systems and dec ision-making, as well as operations research and management.

Fuzzy Relational Mathematical Programming

Fuzzy Relational Mathematical Programming PDF

Author: Bing-Yuan Cao

Publisher: Springer Nature

Published: 2019-11-22

Total Pages: 253

ISBN-13: 3030337863

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This book summarizes years of research in the field of fuzzy relational programming, with a special emphasis on geometric models. It discusses the state-of-the-art in fuzzy relational geometric problems, together with key open issues that must be resolved to achieve a more efficient application of this method. Though chiefly based on research conducted by the authors, who were the first to introduce fuzzy geometric problems, it also covers important findings obtained in the field of linear and non-linear programming. Thanks to its balance of basic and advanced concepts, and its wealth of practical examples, the book offers a valuable guide for both newcomers and experienced researcher in the fields of soft computing and mathematical optimization.

Fuzzy-Like Multiple Objective Decision Making

Fuzzy-Like Multiple Objective Decision Making PDF

Author: Jiuping Xu

Publisher: Springer

Published: 2011-02-28

Total Pages: 454

ISBN-13: 3642168957

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Decision makers usually face multiple, conflicting objectives and the complicated fuzzy-like environments in the real world. What are the fuzzy-like environments? How do we model the multiple objective decision making problems under fuzzy-like environments? How do you deal with these models? In order to answer these questions, this book provides an up-to-date methodology system for fuzzy-like multiple objective decision making, which includes modelling system, model analysis system, algorithm system and application system in structure optimization problem, selection problem, purchasing problem, inventory problem, logistics problem and so on. Researchers, practitioners and students in management science, operations research, information science, system science and engineering science will find this work a useful reference.

Neutrosophic Sets and Systems, book series, Vol. 11, 2016

Neutrosophic Sets and Systems, book series, Vol. 11, 2016 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages:

ISBN-13: 1599734672

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This volume is a collection of fourteen papers, written by different authors and co-authors (listed in the order of the papers): N. Radwan, M. Badr Senousy, A. E. D. M. Riad, Chunfang Liu, YueSheng Luo, J. M. Jency, I. Arockiarani, P. P. Dey, S. Pramanik, B. C. Giri, N. Shah, A. Hussain, Gaurav, M. Kumar, K. Bhutani S. Aggarwal, V. Pătraşcu, F. Yuhua, S. Broumi, A. Bakali, M. Talea, F. Smarandache, M. Khan, S. Afzal, H. E. Khalid, M. A. Baset ,I. M. Hezam. In first paper, the authors studied Neutrosophic Logic Approach for Evaluating Learning Management Systems. A new method to construct entropy of interval-valued Neutrosophic Set is discussed in the second paper. Adjustable and Mean Potentiality Approach on Decision Making is studied in third paper. In fourth paper, An extended grey relational analysis based multiple attribute decision making are interval neutrosophic uncertain linguistic setting . Similarly in fifth paper, Neutrosophic Soft Graphs is discussed. In paper six, Mapping Causes and Implications of India’s Skewed Sex Ratio and Poverty problem using Fuzzy & Neutrosophic Relational Maps is studied by the author. Refined Neutrosophic Information Based on Truth, Falsity, Ignorance, Contradiction and Hesitation is proposed in the next paper. Point Solution, Line Solution, Plane Solution etc —Expanding Concepts of Equation and Solution with Neutrosophy and Quadstage Method the next paper. Further, Isolated Single Valued Neutrosophic Graphs are discussed by the authors in the tenth paper. In eleventh paper, Neutrosophic Set Approach for Characterizations of Left Almost Semigroups have been studied by the author. In the next paper, Degree of Dependence and Independence of the (Sub)Components of Fuzzy Set and Neutrosophic Set. In thirteenth paper, Neutrosophic Soft Multi Attribute Decision Making Based on Grey Relational Projection Method is introduced by the authors. In fourteenth paper, the author studied The Novel Attempt for Finding Minimum Solution in Fuzzy Neutrosophic Relational Geometric Programming (FNRGP) with (max,min) Composition. In the last paper, Neutrosophic Goal Programming is developed.