Results 201 to 210 of about 32,569 (254)

Interactive Fuzzy Multiobjective Programming

1988
In this chapter, we continue to discuss man-machine interactive approaches for obtaining the satisficing solution of DM to the multiobjective optimization problems treated in the previous chapters. Unlike in Chapter 3, however, in this chapter our main attempt is to incorporate the inaccuracies inherent in the judgment of the decision maker (DM) in ...
Fumiko Seo, Masatoshi Sakawa
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Multiobjective Linear Programming

2009
As in single-objective mathematical programming, the most developed part of multiobjective optimization—from the theoretical as well as the applications point of view—is multiobjective linear programming. In 1951, Gale, Kuhn, and Tucker [7] considered a pair of general matrix linear programming problems, i.e., a linear programming problem with a matrix–
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Interactive Multiobjective Mathematical Programming

1988
The term goal programming first appeared in a 1961 text by Charnes and Cooper to deal with multiobjective linear programming problems that assumed the decision maker (DM) could specify his goals or aspiration levels of the objective functions. Subsequent works on goal programming have been numerous including the texts on goal programming by Ijiri (1965)
Fumiko Seo, Masatoshi Sakawa
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Multiobjective Geometric Programming

2009
As shownin Chapter 6, problems leading to geometric programming models arise very often, not only in engineering design but also in economics and management science.Referring to the introductory discussion in Chapter 7, it seems obvious to include geometric programming problems with several objectives in our consideration.
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Multiobjective Fuzzy Random Programming

2011
In this chapter, by considering not only the randomness of parameters involved in objective functions and/or constraints but also the experts’ ambiguous understanding of realized values of the random parameters, multiobjective programming problems with fuzzy random variables are formulated. Four types of optimization models for fuzzy random programming
Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri   +2 more
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Fuzzy Multiobjective Stochastic Programming

2011
In this chapter, by considering the imprecision of a decision maker’s (DM’s) judgments for stochastic objective functions and/or constraints in multiobjective problems, fuzzy multiobjective stochastic programming is developed. Assuming that the DM has a fuzzy goal for each of expectations and variances of the original stochastic objective functions ...
Masatoshi Sakawa, Ichiro Nishizaki, Hideki Katagiri   +2 more
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Multiobjective and Bilevel Programming

1997
This last chapter is devoted to two problems of practical interest which have been the subject of extensive research in recent years. These problems are closely related to each other and can be reformulated as convex programs with an additional reverse convex constraint.
Hiroshi Konno, Phan Thien Thach, Hoang Tuy   +2 more
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MultiObjective Programming and Goal Programming

2009
This book gives the reader an insight into the state of the art in the field of multiobjective (linear, nonlinear and combinatorial) programming, goal programming and multiobjective metaheuristics. The 26 papers describe all relevant trends in this fields of research .
Barichard, Vincent, Ehrgott, Matthias, Gandibleux, Xavier, T'kindt, Vincent   +3 more
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Semi-infinite Multiobjective Fractional Programming I

2017
In this chapter, we first present three new classes of generalized convex functions involving Hadamard directional derivatives, namely, (strictly) (\(\mathcal {F},\) \(\beta ,\) \(\phi ,\) \(\rho ,\) \(\eta ,\) \(\theta ,\) \(\mu \))-Hd-univex functions, (strictly) (\(\mathcal {F},\) \(\beta ,\) \(\phi ,\) \(\rho ,\) \(\eta ,\) \(\theta ,\) \(\mu ...
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Interactive Fuzzy Multiobjective Programming

1997
The paper presents an overview of interactive methods for solving three classes of fuzzy multiobjective linear programming problems: flexible programming, multiobjective linear programming with fuzzy coefficients and flexible multiobjective linear programming with fuzzy coefficients.
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