𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Large Scale Interactive Fuzzy Multiobjective Programming. Decomposition Approaches

✍ Scribed by Masatoshi Sakawa

Publisher
Physica
Year
2000
Tongue
English
Leaves
223
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Table of Contents

Preface......Page 3
Contents......Page 6
1 Introduction......Page 10
Fuzzy Sets......Page 17
Fuzzy Numbers......Page 22
Fuzzy Decision......Page 23
Multiobjective Linear Programming......Page 27
Interactive Multiobjective LP......Page 29
Interactive Fuzzy Multiobjective LP......Page 32
Genetic Algorithms......Page 40
LP Problems with Block Angular Structures......Page 48
Decomposition Algorithm Development......Page 52
Unbounded Subproblem......Page 55
Restricted master Problem......Page 57
LP Problems with block angular Structures......Page 60
Fuzzy Goal & Fuzzy Constraints......Page 61
Fuzzy LP......Page 63
Numerical Example......Page 69
Multiobjective LP Problems with block angular Structures......Page 72
Fuzzy Goals......Page 73
Fuzzy Multiobjective LP......Page 75
Interactive Fuzzy Multiobjective LP......Page 85
6 Large Scale Multiobjective LP with Fuzzy Numbers......Page 92
Interactive Multiobjective LP with Fuzzy Numbers......Page 93
Interactive Fuzzy Multiobjective LP with Fuzzy Numbers......Page 105
Conclusion......Page 122
7 Genetic Algorithms with Decomposition Procedures......Page 124
Multidimensional 0-1 Knapsack Problems with block angular Structures......Page 125
Genetic Algorithms with Decomposition Procedures......Page 126
Numerical Experiments......Page 135
Multiobjective Multidimensional 0-1 Knapsack Problems with block angular Structures......Page 142
Fuzzy Goals......Page 143
Fuzzy Multiobjective 0-1 Programming......Page 144
Interactive Fuzzy Multiobjective 0-1 Programming......Page 151
9 Large Scale Interactive Multiobjective 0-1 Programming with Fuzzy Numbers......Page 156
Interactive Multiobjective 0-1 Programming with Fuzzy Numbers......Page 157
Interactive Fuzzy Multiobjective 0-1 Programming with Fuzzy Numbers......Page 167
Conclusion......Page 177
Large Scale Fuzzy Multiobjective Linear Fractional Programming......Page 179
Large Scale Fuzzy Multiobjective Nonlinear Programming......Page 193
Refs......Page 211
Index......Page 221

πŸ“œ SIMILAR VOLUMES

Large Scale Interactive Fuzzy Multiobjec
πŸ“ Large Scale Interactive Fuzzy Multiobjective Programming: Decomposition Approaches
✍ Prof. Dr. Masatoshi Sakawa (auth.) πŸ“‚ Library πŸ“… 2000 πŸ› Physica-Verlag Heidelberg 🌐 English

<p>Simultaneous considerations of multiobjectiveness, fuzziness and block angular structures involved in the real-world decision making problems lead us to the new field of interactive multiobjective optimization for large scale programming problems under fuzziness. The aim of this book is to introd

Fuzzy Stochastic Multiobjective Programm
πŸ“ Fuzzy Stochastic Multiobjective Programming
✍ Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri (auth.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer-Verlag New York 🌐 English

<p><p>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)

Stochastic Versus Fuzzy Approaches to Mu
πŸ“ Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty
✍ Roman Slowinski, Jacques Teghem (auth.), Roman Slowinski, Jacques Teghem (eds.) πŸ“‚ Library πŸ“… 1990 πŸ› Springer Netherlands 🌐 English

<p>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 u

Fuzzy Sets and Interactive Multiobjectiv
πŸ“ Fuzzy Sets and Interactive Multiobjective Optimization
✍ Masatoshi Sakawa (auth.) πŸ“‚ Library πŸ“… 1993 πŸ› Springer US 🌐 English

<p>The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including ecoΒ­ nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-makin

Multiobjective Optimization: Interactive
πŸ“ Multiobjective Optimization: Interactive and Evolutionary Approaches
✍ Kaisa Miettinen (auth.), JΓΌrgen Branke, Kalyanmoy Deb, Kaisa Miettinen, Roman SΕ‚ πŸ“‚ Library πŸ“… 2008 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><P>Multiobjective optimization deals with solving problems having not only one, but multiple, often conflicting, criteria. Such problems can arise in practically every field of science, engineering and business, and the need for efficient and reliable solution methods is increasing. The task is c