Multi-Objective Stochastic Programming in Fuzzy Environments
Title | Multi-Objective Stochastic Programming in Fuzzy Environments PDF eBook |
Author | Biswas, Animesh |
Publisher | IGI Global |
Pages | 434 |
Release | 2019-03-22 |
Genre | Computers |
ISBN | 1522583025 |
It is frequently observed that most decision-making problems involve several objectives, and the aim of the decision makers is to find the best decision by fulfilling the aspiration levels of all the objectives. Multi-objective decision making is especially suitable for the design and planning steps and allows a decision maker to achieve the optimal or aspired goals by considering the various interactions of the given constraints. Multi-Objective Stochastic Programming in Fuzzy Environments discusses optimization problems with fuzzy random variables following several types of probability distributions and different types of fuzzy numbers with different defuzzification processes in probabilistic situations. The content within this publication examines such topics as waste management, agricultural systems, and fuzzy set theory. It is designed for academicians, researchers, and students.
Fuzzy Stochastic Multiobjective Programming
Title | Fuzzy Stochastic Multiobjective Programming PDF eBook |
Author | Masatoshi Sakawa |
Publisher | Springer Science & Business Media |
Pages | 268 |
Release | 2011-02-03 |
Genre | Business & Economics |
ISBN | 144198402X |
Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994); Sakawa (2000)), there seems to be no book which concerns both randomness of events related to environments and fuzziness of human judgments simultaneously in multiobjective decision making problems. In this book, the authors are concerned with introducing the latest advances in the field of multiobjective optimization under both fuzziness and randomness on the basis of the authors’ continuing research works. Special stress is placed on interactive decision making aspects of fuzzy stochastic multiobjective programming for human-centered systems under uncertainty in most realistic situations when dealing with both fuzziness and randomness. Organization of each chapter is briefly summarized as follows: Chapter 2 is devoted to mathematical preliminaries, which will be used throughout the remainder of the book. Starting with basic notions and methods of multiobjective programming, interactive fuzzy multiobjective programming as well as fuzzy multiobjective programming is outlined. In Chapter 3, by considering the imprecision of decision maker’s (DM’s) judgment for stochastic objective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochastic programming is developed. In Chapter 4, through the consideration of not only the randomness of parameters involved in objective functions and/or constraints but also the experts’ ambiguous understanding of the realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated. In Chapter 5, for resolving conflict of decision making problems in hierarchical managerial or public organizations where there exist two DMs who have different priorities in making decisions, two-level programming problems are discussed. Finally, Chapter 6 outlines some future research directions.
Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty
Title | Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty PDF eBook |
Author | Shi-Yu Huang |
Publisher | Springer Science & Business Media |
Pages | 425 |
Release | 2012-12-06 |
Genre | Business & Economics |
ISBN | 940092111X |
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.
Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment
Title | Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment PDF eBook |
Author | Abdullah Ali |
Publisher | Infinite Study |
Pages | 25 |
Release | |
Genre | Mathematics |
ISBN |
The existence of neutral /indeterminacy degrees reflects the more practical aspects of decision-making scenarios. Thus, this paper has studied the intuitionistic fuzzy multiobjective linear programming problems (IFMOLPPs) under neutrosophic uncertainty. To highlight the degrees of neutrality in IFMOLPPs, we have investigated the neutrosophic optimization techniques with intuitionistic fuzzy parameters.
Recent Advances in Intelligent Information Systems and Applied Mathematics
Title | Recent Advances in Intelligent Information Systems and Applied Mathematics PDF eBook |
Author | Oscar Castillo |
Publisher | Springer Nature |
Pages | 903 |
Release | 2020-01-31 |
Genre | Technology & Engineering |
ISBN | 3030341526 |
This book describes the latest advances in intelligent techniques such as fuzzy logic, neural networks, and optimization algorithms, and their relevance in building intelligent information systems in combination with applied mathematics. The authors also outline the applications of these systems in areas like intelligent control and robotics, pattern recognition, medical diagnosis, time series prediction, and optimization of complex problems. By sharing fresh ideas and identifying new targets/problems it offers young researchers and students new directions for their future research. The book is intended for readers from mathematics and computer science, in particular professors and students working on theory and applications of intelligent systems for real-world applications.
Stochastic Programming
Title | Stochastic Programming PDF eBook |
Author | I.M. Stancu-Minasian |
Publisher | Springer |
Pages | 360 |
Release | 1984 |
Genre | Mathematics |
ISBN |
Applications of Stochastic Programming
Title | Applications of Stochastic Programming PDF eBook |
Author | Stein W. Wallace |
Publisher | SIAM |
Pages | 701 |
Release | 2005-06-01 |
Genre | Mathematics |
ISBN | 0898715555 |
Consisting of two parts, this book presents papers describing publicly available stochastic programming systems that are operational. It presents a diverse collection of application papers in areas such as production, supply chain and scheduling, gaming, environmental and pollution control, financial modeling, telecommunications, and electricity.