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Fuzzy Sets And Interactive Multiobjective Optimization Book

Fuzzy Sets And Interactive Multiobjective Optimization
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  • Fuzzy Sets And Interactive Multiobjective Optimization
  • Written by author M. Sakawa
  • Published by Springer-Verlag New York, LLC, February 1993
  • This monograph is the first to integrate ambiguous parameters in problem-formulation with fuzzy goals for multiobjective optimization into a unified methodology. Including ''real-world'' applications illustrated by interactive computer programs (written i
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1Introduction1
1.1Introduction and historical remarks1
1.2Organization of the book4
2Fundamentals of Fuzzy Set Theory7
2.1Fuzzy sets7
2.2Extension principle17
2.3Fuzzy numbers22
2.4Fuzzy decision32
3Fuzzy Linear Programming36
3.1Linear programming and fuzzy linear programming36
3.2Multiobjective linear programming43
3.3Interactive multiobjective linear programming61
3.4Fuzzy multiobjective linear programming67
3.5Interactive fuzzy multiobjective linear programming81
4Fuzzy Nonlinear Programming91
4.1Nonlinear programming and fuzzy nonlinear programming91
4.2Multiobjective nonlinear programming103
4.3Interactive multiobjective nonlinear programming117
4.4Fuzzy multiobjective nonlinear programming128
4.5Interactive fuzzy multiobjective nonlinear programming134
5Interactive Multiobjective Linear Programming With Fuzzy Parameters149
5.2Problem formulation and solution concepts151
5.3Interactive programming154
5.4Interactive fuzzy programming160
6Interactive Multiobjective Nonlinear Programming With Fuzzy Parameters174
6.2Problem formulation and solution concepts175
6.3Interactive nonlinear programming178
6.4Interactive fuzzy nonlinear programming186
7Interactive Computer Programs198
7.2Illustrative examples with computer outputs207
7.3Installation of PC versions for linear models223
8Some Applications225
8.1Packaging system in automated warehouses225
8.2Pass scheduling for hot tandem mills233
8.3Regional planning241
9Further Research Directions247
9.1Multiobjective possibilistic programming247
9.2Multiobjective programming with fuzzy variables and parameters255
9.3Fuzzy multiobjective 0-1 programming through neural computation262
9.4Fuzzy regression analysis266
Appendix: Hyperplane Methods and Trade-Offs274
References289
Index305


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