Fuzzy Mathematical Programming And Fuzzy Matrix Games

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Fuzzy Mathematical Programming and Fuzzy Matrix Games

Author : C. R. Bector
Publisher : Springer
ISBN 13 : 3540323716
Total Pages : 236 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Fuzzy Mathematical Programming and Fuzzy Matrix Games by : C. R. Bector

Download or read book Fuzzy Mathematical Programming and Fuzzy Matrix Games written by C. R. Bector and published by Springer. This book was released on 2006-05-18 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory has already proved its tremendous potential for con?ict resolution problems in the ?elds of Decision Theory and Economics. In the recent past, there have been attempts to extend the results of crisp game theory to those con?ict resolution problems which are fuzzy in nature e.g. Nishizaki and Sakawa [61] and references cited there in. These developments have lead to the emergence of a new area in the literature called fuzzy games. Another area in the fuzzy decision theory, which has been growing very fast is the area of fuzzy mathematical programming and its applications to various branches of sciences, Engineering and Management. In the crisp scenario, there exists a beautiful relationship between two person zero sum matrix game theory and duality in linear p- gramming. It is therefore natural to ask if something similar holds in the fuzzy scenario as well. This discussion essentially constitutes the core of our presentation. The objective of this book is to present a systematic and focussed study of the application of fuzzy sets to two very basic areas of decision theory, namely Mathematical Programming and Matrix Game Theory.

Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers

Author : Deng-Feng Li
Publisher : Springer
ISBN 13 : 3662484765
Total Pages : 165 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers by : Deng-Feng Li

Download or read book Linear Programming Models and Methods of Matrix Games with Payoffs of Triangular Fuzzy Numbers written by Deng-Feng Li and published by Springer. This book was released on 2015-11-14 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses two-person zero-sum finite games in which the payoffs in any situation are expressed with fuzzy numbers. The purpose of this book is to develop a suite of effective and efficient linear programming models and methods for solving matrix games with payoffs in fuzzy numbers. Divided into six chapters, it discusses the concepts of solutions of matrix games with payoffs of intervals, along with their linear programming models and methods. Furthermore, it is directly relevant to the research field of matrix games under uncertain economic management. The book offers a valuable resource for readers involved in theoretical research and practical applications from a range of different fields including game theory, operational research, management science, fuzzy mathematical programming, fuzzy mathematics, industrial engineering, business and social economics.

Decision and Game Theory in Management With Intuitionistic Fuzzy Sets

Author : Deng-Feng Li
Publisher : Springer
ISBN 13 : 3642407129
Total Pages : 459 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Decision and Game Theory in Management With Intuitionistic Fuzzy Sets by : Deng-Feng Li

Download or read book Decision and Game Theory in Management With Intuitionistic Fuzzy Sets written by Deng-Feng Li and published by Springer. This book was released on 2013-11-12 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is on establishing theories and methods of both decision and game analysis in management using intuitionistic fuzzy sets. It proposes a series of innovative theories, models and methods such as the representation theorem and extension principle of intuitionistic fuzzy sets, ranking methods of intuitionistic fuzzy numbers, non-linear and linear programming methods for intuitionistic fuzzy multi-attribute decision making and (interval-valued) intuitionistic fuzzy matrix games. These theories and methods form the theory system of intuitionistic fuzzy decision making and games, which is not only remarkably different from those of the traditional, Bayes and/or fuzzy decision theory but can also provide an effective and efficient tool for solving complex management problems. Since there is a certain degree of inherent hesitancy in real-life management, which cannot always be described by the traditional mathematical methods and/or fuzzy set theory, this book offers an effective approach to using the intuitionistic fuzzy set expressed with membership and non-membership functions. This book is addressed to all those involved in theoretical research and practical applications from a variety of fields/disciplines: decision science, game theory, management science, fuzzy sets, operational research, applied mathematics, systems engineering, industrial engineering, economics, etc.

Fuzzy Mathematical Programming

Author : Young-Jou Lai
Publisher : Springer Science & Business Media
ISBN 13 : 364248753X
Total Pages : 317 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Fuzzy Mathematical Programming by : Young-Jou Lai

Download or read book Fuzzy Mathematical Programming written by Young-Jou Lai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 25 years, the fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory,artificial intelligence/expert system, etc. In this volume, methods and applications of fuzzy mathematical programming and possibilistic mathematical programming are first systematically and thoroughly reviewed and classified. This state-of-the-art survey provides readers with a capsule look into the existing methods, and their characteristics and applicability to analysis of fuzzy and possibilistic programming problems. To realize practical fuzzy modelling, we present solutions for real-world problems including production/manufacturing, transportation, assignment, game, environmental management, resource allocation, project investment, banking/finance, and agricultural economics. To improve flexibility and robustness of fuzzy mathematical programming techniques, we also present our expert decision-making support system IFLP which considers and solves all possibilities of a specific domain of (fuzzy) linear programming problems. Basic fuzzy set theories, membership functions, fuzzy decisions, operators and fuzzy arithmetic are introduced with simple numerical examples in aneasy-to-read and easy-to-follow manner. An updated bibliographical listing of 60 books, monographs or conference proceedings, and about 300 selected papers, reports or theses is presented in the end of this study.

Fuzzy Solution Concepts for Non-cooperative Games

Author : Tina Verma
Publisher : Springer
ISBN 13 : 3030161625
Total Pages : 166 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Fuzzy Solution Concepts for Non-cooperative Games by : Tina Verma

Download or read book Fuzzy Solution Concepts for Non-cooperative Games written by Tina Verma and published by Springer. This book was released on 2019-04-09 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes novel methods for solving different types of non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs. It starts by discussing several existing methods and shows that some mathematically incorrect assumptions have been considered in all these methods. It then proposes solutions to adapt those methods and validate the new proposed methods, such as Gaurika method Ambika-I-IV, Mehar method and others, by using them for solving existing numerical problems. The book offers a comprehensive guide on non-cooperative games with fuzzy payoffs to both students and researchers. It provides them with the all the necessary tools to understand the methods and the theory behind them.

Fuzzy Mathematical Programming

Author : Young-Jou Lai
Publisher :
ISBN 13 : 9783642487545
Total Pages : 324 pages
Book Rating : 4.4/5 (875 download)

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Book Synopsis Fuzzy Mathematical Programming by : Young-Jou Lai

Download or read book Fuzzy Mathematical Programming written by Young-Jou Lai and published by . This book was released on 2014-09-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models

Author : Kusum Deep
Publisher : Springer
ISBN 13 : 9811308578
Total Pages : 282 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models by : Kusum Deep

Download or read book Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models written by Kusum Deep and published by Springer. This book was released on 2018-08-26 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest developments and breakthroughs in fuzzy theory and performance prediction of queuing and reliability models by using the stochastic modeling and optimization theory. The main focus is on analytics that use fuzzy logic, queuing and reliability theory for the performance prediction and optimal design of real-time engineering systems including call centers, telecommunication, manufacturing, service organizations, etc. For the day-to-day as well as industrial queuing situations and reliability prediction of machining parts embedded in computer, communication and manufacturing systems, the book assesses various measures of performance and effectiveness that can provide valuable insights and help arrive at the best decisions with regard to service and engineering systems. In twenty chapters, the book presents both theoretical developments and applications of the fuzzy logic, reliability and queuing models in a diverse range of scenarios. The topics discussed will be of interest to researchers, educators and undergraduate students in the fields of Engineering, Business Management, and the Mathematical Sciences.

Combinatorial Optimization Under Uncertainty

Author : Ritu Arora
Publisher : CRC Press
ISBN 13 : 1000859819
Total Pages : 221 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Combinatorial Optimization Under Uncertainty by : Ritu Arora

Download or read book Combinatorial Optimization Under Uncertainty written by Ritu Arora and published by CRC Press. This book was released on 2023-05-12 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the basic ideas, underlying principles, mathematical formulations, analysis and applications of the different combinatorial problems under uncertainty and attempts to provide solutions for the same. Uncertainty influences the behaviour of the market to a great extent. Global pandemics and calamities are other factors which affect and augment unpredictability in the market. The intent of this book is to develop mathematical structures for different aspects of allocation problems depicting real life scenarios. The novel methods which are incorporated in practical scenarios under uncertain circumstances include the STAR heuristic approach, Matrix geometric method, Ranking function and Pythagorean fuzzy numbers, to name a few. Distinct problems which are considered in this book under uncertainty include scheduling, cyclic bottleneck assignment problem, bilevel transportation problem, multi-index transportation problem, retrial queuing, uncertain matrix games, optimal production evaluation of cotton in different soil and water conditions, the healthcare sector, intuitionistic fuzzy quadratic programming problem, and multi-objective optimization problem. This book may serve as a valuable reference for researchers working in the domain of optimization for solving combinatorial problems under uncertainty. The contributions of this book may further help to explore new avenues leading toward multidisciplinary research discussions.

Game Theory

Author : Deng-Feng Li
Publisher : Springer Nature
ISBN 13 : 9811506574
Total Pages : 151 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Game Theory by : Deng-Feng Li

Download or read book Game Theory written by Deng-Feng Li and published by Springer Nature. This book was released on 2019-10-11 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes extended, revised and selected papers from the Third East Asia Game Theory International Conference, EAGT 2019, held in Fuzhou, China, in March 2019. The 10 full papers presented in this volume were carefully reviewed and selected from a total of 146 submissions. The papers in the volume are focused on non-cooperative and cooperative games and cover such subjects or disciplines as game theory, operations research, mathematics, decision science, management science, economics, experiment economics, system engineering, psychology and control theory.

Congress on Intelligent Systems

Author : Mukesh Saraswat
Publisher : Springer Nature
ISBN 13 : 9811691134
Total Pages : 914 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Congress on Intelligent Systems by : Mukesh Saraswat

Download or read book Congress on Intelligent Systems written by Mukesh Saraswat and published by Springer Nature. This book was released on 2022-06-30 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the Second Congress on Intelligent Systems (CIS 2021), organized by Soft Computing Research Society and CHRIST (Deemed to be University), Bengaluru, India during September 4 – 5, 2021. It includes novel and innovative work from experts, practitioners, scientists and decision-makers from academia and industry. It covers topics such as Internet of Things, information security, embedded systems, real-time systems, cloud computing, big data analysis, quantum computing, automation systems, bio-inspired intelligence, cognitive systems, cyber physical systems, data analytics, data/web mining, data science, intelligence for security, intelligent decision making systems, intelligent information processing, intelligent transportation, artificial intelligence for machine vision, imaging sensors technology, image segmentation, convolutional neural network, image/video classification, soft computing for machine vision, pattern recognition, human computer interaction, robotic devices and systems, autonomous vehicles, intelligent control systems, human motor control, game playing, evolutionary algorithms, swarm optimization, neural network, deep learning, supervised learning, unsupervised learning, fuzzy logic, rough sets, computational optimization, and neuro fuzzy systems.

Mathematical Methods and Theory in Games, Programming, and Economics

Author : Samuel Karlin
Publisher : Elsevier
ISBN 13 : 1483222985
Total Pages : 444 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Methods and Theory in Games, Programming, and Economics by : Samuel Karlin

Download or read book Mathematical Methods and Theory in Games, Programming, and Economics written by Samuel Karlin and published by Elsevier. This book was released on 2014-05-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions are unique. The examples show the use of dominance concepts, symmetries, and probabilistic arguments that emphasize the principles of game theory. One example involves two opposing political parties in an election campaign, particularly, how they should distribute their advertising efforts for wider exposure. The text also investigates how to determine an optimal program from several choices that results with the maximum or minimum objective. The book also explores the analogs of the duality theorem, the equivalence of game problems to linear programming problems, and also the inter-industry nonlinear activity analysis model requiring special mathematical methods. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by mathematicians, engineers, economists, military strategists, or statisticians who formulate decisions using mathematical analysis and linear programming.

Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty

Author : Shi-Yu Huang
Publisher : Springer Science & Business Media
ISBN 13 : 940092111X
Total Pages : 425 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty by : Shi-Yu Huang

Download or read book Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty written by Shi-Yu Huang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations Research is a field whose major contribution has been to propose a rigorous fonnulation of often ill-defmed problems pertaining to the organization or the design of large scale systems, such as resource allocation problems, scheduling and the like. While this effort did help a lot in understanding the nature of these problems, the mathematical models have proved only partially satisfactory due to the difficulty in gathering precise data, and in formulating objective functions that reflect the multi-faceted notion of optimal solution according to human experts. In this respect linear programming is a typical example of impressive achievement of Operations Research, that in its detenninistic fonn is not always adapted to real world decision-making : everything must be expressed in tenns of linear constraints ; yet the coefficients that appear in these constraints may not be so well-defined, either because their value depends upon other parameters (not accounted for in the model) or because they cannot be precisely assessed, and only qualitative estimates of these coefficients are available. Similarly the best solution to a linear programming problem may be more a matter of compromise between various criteria rather than just minimizing or maximizing a linear objective function. Lastly the constraints, expressed by equalities or inequalities between linear expressions, are often softer in reality that what their mathematical expression might let us believe, and infeasibility as detected by the linear programming techniques can often been coped with by making trade-offs with the real world.

Computer Information Systems and Industrial Management

Author : Khalid Saeed
Publisher : Springer
ISBN 13 : 3662452375
Total Pages : 718 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Computer Information Systems and Industrial Management by : Khalid Saeed

Download or read book Computer Information Systems and Industrial Management written by Khalid Saeed and published by Springer. This book was released on 2014-10-25 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 13th IFIP TC 8 International Conference on Computer Information Systems and Industrial Management, CISIM 2014, held in Ho Chi Minh City, Vietnam, in November 2014. The 60 paper presented in this volume were carefully reviewed and selected from 98 submissions. They are organized in topical sections named: algorithms; biometrics and biometrics applications; data analysis and information retrieval; industrial management and other applications; modelling and optimization; networking; pattern recognition and image processing; and various aspects of computer security.

Fuzzy Optimization

Author : Weldon A. Lodwick
Publisher : Springer Science & Business Media
ISBN 13 : 3642139345
Total Pages : 535 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Fuzzy Optimization by : Weldon A. Lodwick

Download or read book Fuzzy Optimization written by Weldon A. Lodwick and published by Springer Science & Business Media. This book was released on 2010-07-12 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Computations: Theory and Algorithms

Author : Yaroslav D. Sergeyev
Publisher : Springer Nature
ISBN 13 : 3030406164
Total Pages : 550 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Numerical Computations: Theory and Algorithms by : Yaroslav D. Sergeyev

Download or read book Numerical Computations: Theory and Algorithms written by Yaroslav D. Sergeyev and published by Springer Nature. This book was released on 2020-02-13 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11974, consists of 19 full and 32 short papers chosen among regular papers presented at the the Conference including also the paper of the winner (Lorenzo Fiaschi, Pisa, Italy) of The Springer Young Researcher Prize for the best NUMTA 2019 presentation made by a young scientist. The papers in part II explore the advanced research developments in such interconnected fields as local and global optimization, machine learning, approximation, and differential equations. A special focus is given to advanced ideas related to methods and applications using emerging computational paradigms.

Neutrosophic Sets and Systems, Vol. 47, 2021

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 47, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 47, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-12-30 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

Flexible and Generalized Uncertainty Optimization

Author : Weldon A. Lodwick
Publisher : Springer Nature
ISBN 13 : 3030611809
Total Pages : 201 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Flexible and Generalized Uncertainty Optimization by : Weldon A. Lodwick

Download or read book Flexible and Generalized Uncertainty Optimization written by Weldon A. Lodwick and published by Springer Nature. This book was released on 2021-01-12 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory and methods of flexible and generalized uncertainty optimization. Particularly, it describes the theory of generalized uncertainty in the context of optimization modeling. The book starts with an overview of flexible and generalized uncertainty optimization. It covers uncertainties that are both associated with lack of information and are more general than stochastic theory, where well-defined distributions are assumed. Starting from families of distributions that are enclosed by upper and lower functions, the book presents construction methods for obtaining flexible and generalized uncertainty input data that can be used in a flexible and generalized uncertainty optimization model. It then describes the development of the associated optimization model in detail. Written for graduate students and professionals in the broad field of optimization and operations research, this second edition has been revised and extended to include more worked examples and a section on interval multi-objective mini-max regret theory along with its solution method.