Fuzzy Preference Ordering of Interval Numbers in Decision Problems

Fuzzy Preference Ordering of Interval Numbers in Decision Problems
Title Fuzzy Preference Ordering of Interval Numbers in Decision Problems PDF eBook
Author Atanu Sengupta
Publisher Springer Science & Business Media
Pages 168
Release 2009-03-13
Genre Mathematics
ISBN 3540899146

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In conventional mathematical programming, coefficients of problems are usually determined by the experts as crisp values in terms of classical mathematical reasoning. But in reality, in an imprecise and uncertain environment, it will be utmost unrealistic to assume that the knowledge and representation of an expert can come in a precise way. The wider objective of the book is to study different real decision situations where problems are defined in inexact environment. Inexactness are mainly generated in two ways – (1) due to imprecise perception and knowledge of the human expert followed by vague representation of knowledge as a DM; (2) due to huge-ness and complexity of relations and data structure in the definition of the problem situation. We use interval numbers to specify inexact or imprecise or uncertain data. Consequently, the study of a decision problem requires answering the following initial questions: How should we compare and define preference ordering between two intervals?, interpret and deal inequality relations involving interval coefficients?, interpret and make way towards the goal of the decision problem? The present research work consists of two closely related fields: approaches towards defining a generalized preference ordering scheme for interval attributes and approaches to deal with some issues having application potential in many areas of decision making.

Modern Mathematics and Mechanics

Modern Mathematics and Mechanics
Title Modern Mathematics and Mechanics PDF eBook
Author Victor A. Sadovnichiy
Publisher Springer
Pages 564
Release 2018-11-29
Genre Technology & Engineering
ISBN 331996755X

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In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- and aerodynamics, optimization, decision making theory and control theory. This volume is therefore relevant to mathematicians as well as engineers working at the interface of these fields.

Interval-Valued Methods in Classifications and Decisions

Interval-Valued Methods in Classifications and Decisions
Title Interval-Valued Methods in Classifications and Decisions PDF eBook
Author Urszula Bentkowska
Publisher Springer
Pages 172
Release 2019-02-08
Genre Technology & Engineering
ISBN 3030129276

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This book describes novel algorithms based on interval-valued fuzzy methods that are expected to improve classification and decision-making processes under incomplete or imprecise information. At first, it introduces interval-valued fuzzy sets. It then discusses new methods for aggregation on interval-valued settings, and the most common properties of interval-valued aggregation operators. It then presents applications such as decision making using interval-valued aggregation, and classification in case of missing values. Interesting applications of the developed algorithms to DNA microarray analysis and in medical decision support systems are shown. The book is intended not only as a timely report for the community working on fuzzy sets and their extensions but also for researchers and practitioners dealing with the problems of uncertain or imperfect information.

Advances in Fuzzy Decision Making

Advances in Fuzzy Decision Making
Title Advances in Fuzzy Decision Making PDF eBook
Author Iwona Skalna
Publisher Springer
Pages 162
Release 2015-11-06
Genre Technology & Engineering
ISBN 331926494X

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This book shows how common operation management methods and algorithms can be extended to deal with vague or imprecise information in decision-making problems. It describes how to combine decision trees, clustering, multi-attribute decision-making algorithms and Monte Carlo Simulation with the mathematical description of imprecise or vague information, and how to visualize such information. Moreover, it discusses a broad spectrum of real-life management problems including forecasting the apparent consumption of steel products, planning and scheduling of production processes, project portfolio selection and economic-risk estimation. It is a concise, yet comprehensive, reference source for researchers in decision-making and decision-makers in business organizations alike.

Fuzzy Techniques for Decision Making

Fuzzy Techniques for Decision Making
Title Fuzzy Techniques for Decision Making PDF eBook
Author José Carlos R. Alcantud
Publisher MDPI
Pages 411
Release 2018-05-18
Genre Mathematics
ISBN 3038428876

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This book is a printed edition of the Special Issue "Fuzzy Techniques for Decision Making" that was published in Symmetry

Optimization and Decision Support Systems for Supply Chains

Optimization and Decision Support Systems for Supply Chains
Title Optimization and Decision Support Systems for Supply Chains PDF eBook
Author Ana Paula Barbosa Póvoa
Publisher Springer
Pages 198
Release 2016-09-13
Genre Technology & Engineering
ISBN 3319424211

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This contributed volume presents a collection of materials on supply chain management including industry-based case studies addressing petrochemical, pharmaceutical, manufacturing and reverse logistics topics. Moreover, the book covers sustainability issues, as well as optimization approaches. The target audience comprises academics, industry managers, and practitioners in the field of supply chain management, being the book also beneficial for graduate students

Applications of Nature-Inspired Computing and Optimization Techniques

Applications of Nature-Inspired Computing and Optimization Techniques
Title Applications of Nature-Inspired Computing and Optimization Techniques PDF eBook
Author
Publisher Elsevier
Pages 566
Release 2024-04-04
Genre Mathematics
ISBN 0323957692

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Advances in Computers, Volume 135 highlights advances in the field, with this new volume, Applications of Nature-inspired Computing and Optimization Techniques presenting interesting chapters on a variety of timely topics, including A Brief Introduction to Nature-inspired Computing, Optimization and Applications, Overview of Non-linear Interval Optimization Problems, Solving the Aircraft Landing Problem using the Bee Colony Optimization (BCO) Algorithm, Situation-based Genetic Network Programming to Solve Agent Control Problems, Small Signal Stability Enhancement of Large Interconnected Power System using Grasshopper Optimization Algorithm Tuned Power System Stabilizer, Air Quality Modelling for Smart Cities of India by Nature Inspired AI – A Sustainable Approach, and much more.Other sections cover Genetic Algorithm for the Optimization of Infectiological Parameter Values under Different Nutritional Status, A Novel Influencer Mutation Strategy for Nature-inspired Optimization Algorithms to Solve Electricity Price Forecasting Problem, Recent Trends in Human and Bio Inspired Computing: Use Case Study from Retail Perspective, Domain Knowledge Enriched Summarization of Legal Judgment Documents via Grey Wolf Optimization, and a host of other topics. - Includes algorithm specific studies that cover basic introduction and analysis of key components of algorithms, such as convergence, solution accuracy, computational costs, tuning, and control of parameters - Comprises some of the major applications of different domains - Presents application specific studies, incorporating ways of designing objective functions, solution representation, and constraint handling